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In general, the construction of observers for nonlinear descriptor systems depends on the solvability of a linear matrix inequality involving system matrices, and it is based on the system's nonlinearity. Therefore, the type of nonlinearity present in the system heavily affects the observer design process. There are significant developments in the literature for observer design for descriptor systems with various types of nonlinearity. Motivated by this, the current work reviews the literature on observer design for nonlinear descriptor systems with an extensive discussion on the type of nonlinearities that are considered. Here, an analysis and the comparison on the most common nonlinearities is presented, providing a roadmap to all researchers in the field. Furthermore, less common nonlinearities have been identified, presenting under-explored areas within the literature, and can open new domains for future research. [ABSTRACT FROM AUTHOR]

This paper deals with the fault detection observer (FDO) design for discrete-time switched singular systems (SSSs) under persistent dwell time (PDT) switching. Compared to the widely used dwell time and average dwell time switching in the literature, PDT switching is more general due to its covering such two switchings as special cases. The PDT switching is firstly employed to establish the admissibility criterion and the H ∞ and H - observer synthesis conditions for SSSs. Also, an efficient H - / H ∞ FDO design algorithm is proposed. First, the admissibility analysis of the observing error system is addressed by incorporating the PDT technique into the multiple Lyapunov function method, and an admissibility criterion in the form of linear matrix inequality is established. Based on this, two FDO synthesis conditions are then developed to guarantee that the generated residual signal achieves prescribed H ∞ and H - performance with regard to disturbances and faults, respectively. The FDO should be designed such that the effects of faults and disturbances on the residual signal are maximized and minimized, respectively. To this end, the FDO design is expressed as a multi-objective optimization problem, and the FDO gains are characterized in terms of the solution of the multi-objective optimization problem. Moreover, a suitable trade-off between the robustness to disturbances and the sensitivity to faults is obtained based on a corresponding proposed algorithm. Finally, one illustrative example is given to show the validity of the developed method. [ABSTRACT FROM AUTHOR]

This paper considers the finite-time H ∞ dynamic output feedback control for a class of one-sided Lipschitz nonlinear rectangular descriptor Markov jump systems (DMJSs). The differential matrix E ∈ R m × n is not subject to any constraints, i.e., it includes two cases of m ≥ n and m ≤ n . For making the closed-loop system as square DMJSs, the rectangular dynamic output feedback controller is proposed. Firstly, the sufficient conditions are given to guarantee that the augmented closed-loop systems are singular stochastic H ∞ finite-time bounded (SS H ∞ FTB) and have a unique solution simultaneously by adopting a mode-dependent Lyapunov functional and implicit function theorem. Then a novel and rigorous strict linear matrix inequality (LMI) sufficient condition for the existence of a rectangular dynamic output feedback controller is given based on the certain matrix decoupling techniques, and the controller is obtained. Ultimately, numerical examples are provided in order to substantiate the soundness of the results. [ABSTRACT FROM AUTHOR]

This paper investigates the non-fragile robust H ∞ control problem of nonlinear uncertain neutral stochastic Takagi–Sugeno (T–S) fuzzy systems with mixed time-delays. The uncertainties are norm-bounded and time-varying. Sufficient conditions for H ∞ performance analysis results of the delay-dependent condition is established via the Lyapunov–Krasovskii functional (LKF) technique and linear matrix inequality (LMI) method. Based on the H ∞ performance result, a desired fuzzy control is designed by solving LMIs. Finally, an example is provided to illustrate the efficiency of the proposed method. [ABSTRACT FROM AUTHOR]

This article presents an annular finite-time H ∞ filtering approach for continuous-time mean-field stochastic systems (MFSSs). Our attention is focused on obtaining a set of stability criteria for analyzing the H ∞ performance and the annular finite-time boundedness of the filtering error system. Sufficient conditions in the form of linear matrix inequality (LMI) are established to guarantee the existence of the designed filter. Then, the filter gains are derived through a convex optimization problem. Through a simulation example, the validity of the obtained results is demonstrated. [ABSTRACT FROM AUTHOR]

This paper investigates the positive realness of continuous fractional-order (FO) two-dimensional (2D) Roesser model with the FO ρ 1 ∈ (0 , 1 ] , ρ 2 ∈ (0 , 1 ] . A sufficient condition that ensures that the continuous FO 2D Roesser model is stable and positive real is given as linear matrix inequalities (LMIs). Then, the positive real control problem for continuous FO 2D Roesser model with state feedback and dynamic output feedback controllers is addressed. The sufficient conditions are given in LMI form, and the parameters of the controllers can be achieved from the solution of the LMIs easily. Finally, the validity of the results is checked by several examples. [ABSTRACT FROM AUTHOR]

This paper addresses the problems of the non-cascade adaptive integral sliding mode control (ISMC) for permanent magnet synchronous motors (PMSMs). Firstly, by taking the external disturbances and internal parametric uncertainties into full consideration, a surface-mounted PMSM is modeled as a singularly perturbed system by singular perturbation theory. Then, the discrete-time nonlinear tracking differentiator and the disturbance observer (DO) are presented, arranging a favorable transition dynamic and estimating the lumped disturbances, respectively. As a result, a novel integral sliding mode surface function and the constructed DO-based adaptive ISMC law are subsequently designed, thus guaranteeing the reachability condition and closed-loop system stability. Furthermore, the H ∞ control approach is employed to design the non-cascade controller gain, by solving a set of linear matrix inequalities. Finally, the advantages and effectiveness of the proposed methods are demonstrated by the comparison results. [ABSTRACT FROM AUTHOR]

This article addresses the hybrid H ∞ filtering problem for continuous-time uncertain linear impulsive switched systems with the asynchronous switching. Unlike most work about filtering problems, this article ponders multiple state impulsive jumps in the whole switched systems. In other words, the state impulsive jumps take place in subsystem switching instants as well as in filter switching instants, which add challenges to the H ∞ filtering problem considered in this article. In the filter design, one has to take account of the asynchronous switching, which hints that the switching of the subsystem and its corresponding filter does not occur concurrently. The average dwell time approach is applied to design the switching rule. This article focuses on the design of the hybrid H ∞ filter that can keep the filtering error systems globally uniformly asymptotically stable with H ∞ performance index. By constructing Lyapunov-like functions that allow the increment during the asynchronous period and in the state jump instants, sufficient conditions for the expected hybrid H ∞ filter are obtained in the form of linear matrix inequalities. At last, an example is offered to demonstrate the applications of the acquired theorems. [ABSTRACT FROM AUTHOR]

This article is devoted to estimating simultaneously both the states and the inputs of linear time-invariant fractional-order systems (LTI-FOSs) with the order 0 < α < 2 . Firstly, a necessary and sufficient stability criterion for LTI-FOSs with the order 0 < α < 1 is derived by the linear matrix inequality technique. Secondly, a novel fractional-order observer combined with state vectors and ancillary vectors is given, which can generalize several forms of existing observers. Moreover, the parameter matrices of the desired observer for both the order 0 < α < 1 and 1 < α < 2 are solved on the basis of the stability theorem and the solution to the generalized inverse matrix. Finally, the fractional-order observer design algorithm is proposed and then applied to an illustrated example, in which the simulation results are reported to verify the effectiveness of the proposed approach. [ABSTRACT FROM AUTHOR]

In the present paper, for the first time, we consider the problem of non-fragile finite-time guaranteed cost control for a class of fractional-order singular systems with norm-bounded uncertainties. Firstly, we establish a linear quadratic cost function based on the integral of integer order, which serves practical purposes and acts as a performance measure index for the closed-loop system. Then, leveraging finite-time boundedness theory, inequality techniques, and fractional-order calculus properties, we propose a non-fragile state feedback controller that ensures regularity, impulse-free, and finite-time boundedness in the closed-loop system. Furthermore, we establish an upper limit for the performance index. The resulting findings are reliant on the order of the considered fractional-order systems and are obtained through the use of strict linear matrix inequalities (LMIs), devoid of any equality restrictions. Finally, two simulation examples are provided to validate the effectiveness of the proposed method. [ABSTRACT FROM AUTHOR]

This paper deals with the issue of finite-time observer-based H ∞ control design of networked switched systems (NSS) subject to external disturbances via an event-triggered observation strategy. This triggering strategy is used to decide when the output measurements are sent to the observer over the communication network. By incorporating digital networks, the closed-loop system is modeled as a switched delayed system due to network-induced delays. By using the average dwell time (ADT) switching method with the Lyapunov–Krasovskii functional, several sufficient linear matrix inequalities (LMIs) conditions for the observer-based control synthesis are developed to guarantee the finite-time boundedness and the disturbance attenuation control performance of the resulting switched delayed system. Finally, an example is given to illustrate the effectiveness of the theoretical results. [ABSTRACT FROM AUTHOR]

This study considers the stability and passivity analysis of discrete-time systems with variable time-lags, saturation overflow nonlinear effects and external disturbances. Summation inequality based on free-weighting matrices is employed to develop an enhanced stability criterion that is in the form of linear matrix inequalities. A sufficient passivity condition for discrete-delayed systems involving overflow nonlinearities and subjected to external interferences is also proposed. Illustrative examples are presented to demonstrate the effectiveness of the obtained results. [ABSTRACT FROM AUTHOR]

This paper is concerned with the design of state-feedback guaranteed cost controller (GCC) for linear two-dimensional (2-D) uncertain discrete delayed systems with actuator saturation (AS). The 2-D system under consideration is represented by the Roesser model. The linear matrix inequality-based conditions for the design of GCC are developed. The proposed method not only ensures that closed-loop system trajectories converge to the origin, but it also provides a satisfactory performance level under all permissible system uncertainties. A convex optimization problem is also formulated for the design of optimal GCC. The GCC design problem for 2-D systems with AS and no delay is also examined. The problem of GCC design for 2-D systems in absence of AS and state delay is also discussed. Several examples are given to illustrate the applicability of the presented results. [ABSTRACT FROM AUTHOR]

This paper is dedicated to dealing with the sampled measurement-based robust impulsive filter design problem for delayed Lur'e implicit hybrid systems via free-weighting matrix approach. Stochastic admissibility and H ∞ performance index for the implicit impulsive filtering error system are ensured based on a holistic impulse-time-dependent Lyapunov–Krasovskii functional, which embodies the impulse instants, time-varying delays and Markovian jump modes. The effect of sampled measurement output on the impulsive filter is considered, where the sampling moments are corresponding to the impulse instants. By applying the improved free-weighting matrix technique, the derivative of time-varying delay in implicit system states is no longer subject to the least upper bound 1. A set of linear matrix inequalities are applied to construe designing criterion for the desired mode-dependent implicit impulsive filter. The practicality of the developed approach is verified by nonlinear RC circuit. [ABSTRACT FROM AUTHOR]

This paper treats the problem of H ∞ fault detection for discrete-time networked systems under deception attacks, communication delays, and perturbations. To this end, a mode-dependent fault detection filter (FDF) is presented as a residual generator to detect the occurrence of the fault. As phenomena are occurring randomly via network communication, both the delays and attacks can be appropriately described by mutually independent Markov stochastic process and Bernoulli random variable, respectively. By using the Lyapunov stability theory and linear matrix inequality (LMI) technique, a new sufficient condition for the H ∞ performance analysis of the augmented systems is obtained. Furthermore, and based on the obtained condition, the mode-dependent FDF that ensures the stochastic stability and a prescribed H ∞ performance level of the corresponding augmented system is designed in terms of linear matrix inequalities (LMIs). Finally, a numerical example is presented to show usefulness of the designed mode-dependent FDF. [ABSTRACT FROM AUTHOR]

This paper concerns the energy-to-peak (E2P) control problem for a class of linear discrete-time singular systems in which the external disturbance condition in the regulated output is considered. First, a method for analyzing E2P performance is given to accurately judge whether a closed-loop singular system is admissible and satisfies the required E2P performance index. Furthermore, according to the standard linear matrix inequality (LMI) technique, an E2P controller design scheme is given to ensure that the closed-loop system sufficiently satisfies the required control performance. Finally, an example of a circuit system is adopted to demonstrate the effectiveness of the proposed controller design scheme. [ABSTRACT FROM AUTHOR]

This article considers the event-based security control problem for an interconnected system with Markovian switching topologies, where the Markovian process governs the switching of the communication topologies. Considering the effect of transmission constraints on control design, a Bernoulli-distributed variable is utilized to formulate the random network attacks. A sampling-data-based event-triggered communication mechanism is presented to decrease unnecessary transmission, where the average data-releasing rate can be decreased greatly. Considering the effects of deception attacks and event-triggered mechanism simultaneously, an observer-based switched control system model is established. By combining this new model and employing the proper Lyapunov–Krasovskii functional, some sufficient criterions are derived such that the closed-loop error system is exponentially mean-square stable with the desired disturbance attenuation, and the controller and observer gain matrices will be tackled simultaneously via the solution of linear matrix inequalities. Finally, this article employs a simulation example to verify the availability of proposed methods. [ABSTRACT FROM AUTHOR]

This paper investigates the event-triggered asynchronous control problem of a 2-D discrete-time switched system described by the FMLSS model with an average dwell time approach. Specifically, the sufficient condition for event-triggered stabilization of the 2-D asynchronously switched system and the sufficient condition for the event-triggered H ∞ control of this system with a specified disturbance attenuation performance level are given, respectively. On this basis, sufficient conditions for the solvability of the corresponding event-triggered state feedback controllers are derived by using the linear matrix inequalities (LMIs) technique. Finally, two numerical examples are used to verify the validity of the proposed controller design approaches. [ABSTRACT FROM AUTHOR]

This paper is concerned with set-membership filtering for time-varying complex networks with randomly varying nonlinear coupling structure. A novel coupling model governed by a sequence of Bernoulli stochastic variables is proposed. The connection relationships among multiple nodes of complex networks are nonlinear. Utilizing the mathematical induction method, a sufficient condition is derived to remain the filtering error within an ellipsoid region at each time step. Subsequently, the desired filter gain is obtained by minimizing the ellipsoid constraint matrix (in the sense of trace) according to a recursive linear matrix inequalities algorithm. Finally, a simulation example is presented to illustrate the effectiveness of the proposed theory. [ABSTRACT FROM AUTHOR]

In this study, a stability analysis and H ∞ performance are derived for the bilateral teleoperation systems with time-varying delay. A new model transformation is firstly applied by employing a three-term approximation for the delayed state with the scaled small-gain theorem (SSG). By using appropriate Lyapunov–Krasovskii functional (LKF) and a generalized free-matrix-based integral inequality, new stability analysis and H ∞ performance criteria are proposed in terms of linear matrix inequalities. Finally, the engineering relevance of theory has been highlighted with different examples. [ABSTRACT FROM AUTHOR]

This article considers the problems of uniform asymptotic stability and mixed H ∞ and passivity performance for conformable fractional-order uncertain neural networks with time delays. We first present a modified conformable fractional-order Razumikhin theorem for conformable fractional-order systems with time delays. Then, we derive some sufficient conditions in terms of linear matrix inequalities conditions to ensure that the considered system is uniform asymptotic stable with mixed H ∞ and passivity performance levels by employing the conformable fractional-order Razumikhin approach. Two simulation examples confirm the correctness of the theoretical results. [ABSTRACT FROM AUTHOR]

This paper is concerned with the problem of H ∞ filtering for a class of discrete time-delay systems with a constrained communication network from sensors to the filter. The signal of measurement output is quantized by a quantizer, and then, the quantized signal is transmitted through the communication channel which is scheduled by the try-once-discard protocol and subject to deception attacks. The main aim of this study is to design the mode-dependent non-fragile filter and the dynamic quantizer such that the mean-square asymptotic stability with a prescribed H ∞ performance of the filtering error system is satisfied. Sufficient conditions are established for the designed filter and quantizer by constructing a mode-dependent Lyapunov–Krasovskii function. Moreover, the desired filter gain matrices and the dynamic parameter of the quantizer are obtained by solving a set of linear matrix inequalities (LMIs). Finally, a simulation example is given to validate the effectiveness of the proposed method. [ABSTRACT FROM AUTHOR]

This paper deals with the problem of finite-time dissipative-based distributive non-fragile filter design for a class of discrete-time complex systems subject to randomly occurring multiple delays, dynamic quantization and missing measurements. The main intention of this work is to propose a distributive non-fragile filter that ensures the stochastic finite-time boundedness together with prescribed dissipative performance in the presence of multiple delays. To characterize the random nature of delays, stochastic variables are introduced which satisfy the Bernoulli binary distribution. Moreover, the two factors such as missing measurements and dynamic quantization are implemented in the measurement signal. By employing S-procedure and constructing proper Lyapunov–Krasovskii functional, a set of linear matrix inequality (LMI)-based sufficient conditions that guarantee the stochastic finite-time boundedness with dissipative performance of the augmented filtering error system is obtained. Finally, the efficiency of the proposed distributive non-fragile filter design is proved by presenting three numerical examples including the continuous stirred tank reactor (CSTR) and a quarter-car suspension model. [ABSTRACT FROM AUTHOR]

In this paper, we present a new systematic method to design a dynamic output feedback controller (DOF) for linear parameter-varying (LPV) systems with time delay and exogenous disturbances. An LPV controller is proposed due to the presence of LPV terms in the structure of the system. The purpose is the design of an LPV DOF controller such that the resulting closed-loop system is robustly asymptotically stable while satisfying a prescribed H ∞ performance level. This problem is originally non-convex because of the coupling between system matrices and decision variables. The design conditions are transformed into LMI problems by using some technical lemmas for straightforward computation of the controller matrices. Finally, two examples are presented to demonstrate the validity and effectiveness of the theoretical results. [ABSTRACT FROM AUTHOR]

In this paper, we investigate the issue of L 2 - L ∞ filtering for time-delay reaction–diffusion switched Hopfield networks. Our main focus is on the design of a Luenberger estimator so that the filtering-error system not only is exponentially stable in the absence of external disturbance, but also possesses a predefined L 2 - L ∞ disturbance rejection level under the zero initial condition. With the aid of Lyapunov–Krasovskii functionals, several integral inequalities, and in conjunction with the free-weight matrix technique, both delay-independent and dependent design strategies are developed, where the required gains can be acquired through the feasible solution of linear matrix inequalities. To demonstrate the applicability and lower conservatism of the present design strategies, an example with numerical comparison is provided. [ABSTRACT FROM AUTHOR]

This paper investigates the problem of finite-time passivity for a class of nonlinear Atangana–Baleanu–Caputo (ABC) fractional-order systems (FOs). Firstly, a new definition of finite-time passivity for the FO nonlinear systems in the frame of the Atangana–Baleanu derivative of Caputo type is introduced. Then several sufficient conditions in the form of linear matrix inequalities (LMIs) are presented to guarantee that such the system is robustly finite-time passive. Finally, two numerical examples are given to verify the theoretical results. [ABSTRACT FROM AUTHOR]

This paper is concerned with the delay-dependent H ∞ control problem for uncertain singular time-varying delay systems with Markovian jumping parameters. First of all, a new Lyapunov–Krasovskii functional is established to develop the new bounded real lemma (BRL). Sufficient condition is given in terms of linear matrix inequalities (LMIs), which guarantees the system to be stochastically admissible with given H ∞ performance index γ . We employ delay decomposition approach and improved Wirtinger inequality to reduce the conservatism. Secondly, based on this BRL, the explicit expression of the desired feedback controller gain is obtained by solving a set of strict LMIs. And the robust H ∞ controller for uncertain systems is also presented. Finally, some numerical examples are provided to illustrate the effectiveness and less conservativeness of the proposed methods. [ABSTRACT FROM AUTHOR]

This paper addresses the passivity-based sliding mode control (SMC) for Lur'e singularly perturbed time-delay systems with input nonlinearity. First, a novel ε -dependent sliding mode surface is designed such that resulting sliding mode dynamics is still a singularly perturbed system. Based on this, a SMC law is designed to guarantee that the system state can be driven onto the specified sliding mode surface in a finite time and stays there for all future time. Then, delay-dependent and delay-independent sufficient conditions are proposed such that the sliding mode dynamics is passive and asymptotically stable. The criteria presented are both independent of the small parameter and the upper bound for the passivity can be obtained in a workable computation way. Finally, the validity of the developed methods is illustrated by three numerical examples. [ABSTRACT FROM AUTHOR]

This paper studies a resilient control-based fault estimation problem for a class of networked control systems subject to jumping parameters and deception attacks. In particular, a fault estimator is developed under an observer-based framework to estimate the faults and system states concurrently, and procure better estimation accuracy. Next, the closed-loop error system is constructed with major factors like gain fluctuations and cyber attacks that may damage the network security. In accordance with the Lyapunov stability approach, a set of adequate criteria in the configuration of linear matrix inequalities is derived to confirm the stochastic boundedness of the resulting system. Further, the considered resilient controller and the observer gain matrices are calculated from the established linear matrix inequality constraints. The validity of the developed schemes and performance of the obtained results is consummated through two numerical examples, which include a high alpha research vehicle model. [ABSTRACT FROM AUTHOR]

This work investigates stability of interfered digital filters with time-varying delay and saturation overflow arithmetic. A criterion is proposed to guarantee exponential stability of the state-delayed digital filters with saturation nonlinearities and external disturbance. The established condition is utilized to obtain the H ∞ performance norm of the interfered digital filters employing saturation arithmetic. Further, a result is developed for the asymptotic stability of interference-free digital filters with zero state-delay. The criterion presented for the digital filters employing saturation arithmetic is shown to be less conservative than the existing works. All the stability conditions are in the form of linear matrix inequalities framework and thus readily solvable. Numerical examples are given to illustrate the merit and efficiency of the established criteria. [ABSTRACT FROM AUTHOR]

In this paper, the finite-time fault detection (FTFD) problem is investigated for a class of discrete-time nonlinear systems subject to the probabilistic interval time-varying delay and the randomly occurring faults (ROFs) under the annulus-event-based communication strategy (AEBCS). A Bernoulli stochastic variable is used to depict the probability interval time-varying delay phenomenon, where the time delay is bounded and its probability distributions can be observed. The phenomena of the ROFs are characterized by the Markov chain with two states. Furthermore, the AEBCS is applied to determine whether the measured signals can be transmitted to the filter or not. For the fault detection (FD) problem, we propose some sufficient conditions to ensure that the error dynamics system is finite-time stochastically stable with the specified H ∞ performance index. Meanwhile, the gains of the filter can be calculated via the feasible solution to certain linear matrix inequalities. In the end, two numerical examples are proposed to verify the effectiveness of newly proposed FTFD method via the AEBCS. [ABSTRACT FROM AUTHOR]

This paper considers the impulsive functional observer design problem for fractional-order nonlinear systems satisfying incremental quadratic constraints. The incremental quadratic constraints can describe many commonly encountered nonlinearities in the existing literature. Firstly, a fractional-order nonlinear system with incremental quadratic constraints and output nonlinearities is presented and the definition of incremental quadratic constraints is introduced. Secondly, an impulsive functional observer is designed to guarantee that the error system is exponentially stable. Thirdly, based on matrix partition, an approach to obtain the gains of the observer is proposed. Meanwhile, the sufficient conditions can be obtained via solving linear matrix inequalities. Subsequently, an algorithm is given to illustrate the steps of impulsive functional observer design. Finally, an example about fractional-order chaotic system is provided to illustrate the effectiveness of the designed controller. [ABSTRACT FROM AUTHOR]

This paper studies a class of inertial neural networks with leakages and varying delays on timescales: x i △ △ (t) = - a i (t) x i △ (t - η i (t)) - b i (t) x i (t - ξ i (t)) + ∑ j = 1 n c ij (t) f j (x j (t)) + ∑ j = 1 n d ij (t) g j (x j (t - q ij (t))) + S i (t). The problems of the existence, the uniqueness and the exponential stability of almost anti-periodic solution on timescales are investigated. We establish some sufficient conditions to guarantee the main results, by constructing the Lyapunov functions and using some classical inequalities. A numerical example is given for illustration. [ABSTRACT FROM AUTHOR]

This paper deals with the dissipativity analysis problem for a class of fractional-order static neural networks (FOSNNs). We first derive a novel sufficient condition for global asymptotic stability of FOSNNs by constructing novel convex Lyapunov functions and using linear matrix inequality techniques. Then, based on the proposed stable criterion combined with some auxiliary properties of fractional calculus, the dissipative problem for the related system is solved for the first time. In addition, we also extend the obtained results to generalized fractional-order neural networks. Four numerical examples are provided to show the validity and effectiveness of the proposed results. [ABSTRACT FROM AUTHOR]

This paper investigates the problem of observer-based H ∞ control for one-sided Lipschitz nonlinear systems subject to parametric uncertainties and external disturbances. In order to relax some conservatisms and limitations of the traditional Lipschitz condition, the one-sided Lipschitz and quadratically inner-bounded conditions are used. On the contrary to the methods proposed in the literature, our method allows for uncertainty in the input matrix B, as well as the dynamic and output matrices A and C. To derive design conditions in terms of LMIs, the well-known Young's relation is employed for handling the bilinear terms naturally arising in observer-based controller design. Finally, two examples are presented to demonstrate the validity of the theoretical results. [ABSTRACT FROM AUTHOR]

This paper considers the H ∞ control problem for Lur'e singular systems with time delays. By using Lyapunov stability theory, sufficient conditions for the system to be exponentially stable and satisfy the performance index of H ∞ are obtained; these conditions are based on the linear matrix inequality method. Then the design of a state feedback controller is given, by applying a more clever approach for a nonlinear matrix with a special format to convert it into the sum of several linear matrices, such that the closed-loop system is also exponentially stable. Finally, numerical examples illustrate the effectiveness of the proposed method and its advantages over existing approaches. [ABSTRACT FROM AUTHOR]

The aim of this paper is to present a robust anti-windup compensator methodology to deal with the stabilization of nonlinear time-varying delay systems, which are described by Takagi–Sugeno (T–S) fuzzy models. Given a stabilizing output feedback fuzzy controller, an anti-windup control approach is developed to estimate the domain of attraction. Based on the Lyapunov–Krasovskii functional and delay-dependent analysis, sufficient conditions for the robust stabilization via anti-windup controller are derived in terms of linear matrix inequalities. In addition, an algorithm is provided to optimize the anti-windup gain and reduce the conservatism. Numerical examples illustrate the effectiveness of our methodology and show the improvements over the existing ones. [ABSTRACT FROM AUTHOR]

This paper deals with the problem of finite-time stabilization for the multi-rate networked control system with network-induced time delays. In order to guarantee the finite-time stability and overcome the adverse impact of network-induced time delays in both sensor-to-controller channel and controller-to-actuator channel, a networked predictive control strategy is proposed based on multi-rate sampling mechanism. By utilizing the techniques of lifting and augmenting, the augmented closed-loop system is derived with a uniform sampling rate. By applying the Lyapunov stability theorem, sufficient conditions are established such that the multi-rate networked control system can be finite-time stabilized. Furthermore, the gain matrices are determined for the observer and the controller by solving bilinear matrix inequality or linear matrix inequality. Finally, a numerical example is presented to show the validity of the obtained results. [ABSTRACT FROM AUTHOR]

This paper is concerned with the problem of fault detection filter design for a class of nonlinear Markovian jump systems with incomplete measurements and distributed delay. A unified model is proposed to address the phenomena such as packet losses, signal quantization and sensor saturation. The objective is to design a finite-time dissipative-based fault detection filter such that for all unknown disturbances, the estimation error between the residual signal and the fault is minimized and also to guarantee the stochastic finite-time boundedness of the augmented filtering error system with a prespecified dissipative performance level. By using Lyapunov stability theory along with stochastic analysis techniques, a set of sufficient criterion is established for the existence of desired fault detection filter. Further, the filter gain parameters are obtained by solving the linear matrix inequality-based constraints. Two numerical examples including an inverted pendulum model are presented to illustrate the effectiveness of the proposed filter design algorithm. [ABSTRACT FROM AUTHOR]

This paper proposes a new approach to investigate the problem of designing sampled-data controller for master–slave synchronization of chaotic Lur'e systems with time delay. Compared with existing methods, this method can make full use of the information of actual sampling pattern. To reflect more realistic the information on both the intervals e(t) to e (t k) and e(t) to e (t k + 1) , a novel two-side sampling-interval-dependent discontinuous Lyapunov functional (DLF) is constructed, which can fully utilizes the available characteristics of actual sampling information. Based on this DLF and by using modified free-matrix-based integral inequality, novel less conservative stability criteria of the synchronization error system are derived in the form of linear matrix inequalities, which guarantee the master system synchronizes with the slave system. At the same time, the gain matrix of the sampling controller is gained with a bigger sampling interval than the previous conclusions. Simulation results are provided to demonstrate the effectiveness and benefits of the presented synchronization scheme. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to study the event-triggered H∞ control problem of network singular systems with unknown disturbances. First, we use an adaptive event-triggered scheme suitable for singular systems, which can adaptively adjust the trigger parameters of dynamic errors in order to economize confined network resources and downgrade conservatism. In this paper, the singular system is taken as the controlled object, and two observers are designed to assess the state and disturbance of the system, respectively. Therefore, a novel adaptive event-triggered H∞ control for singular systems with extended state observer is proposed. Second, by constructing a new Lyapunov functional, and using linear matrix inequalities and the theory of Lyapunov stability, the conditions for the system's asymptotic stability are obtained. Finally, to demonstrate the validity of the derived results, some simulations and comparisons are provided. [ABSTRACT FROM AUTHOR]

The synchronization of a Riemann–Liouville-type fractional inertial neural network with a time delay and two inertial terms is studied in this paper. Some new Lyapunov functions are constructed. Based on the properties of the Riemann–Liouville fractional derivative, two new synchronization criteria are given in terms of linear matrix inequalities (LMIs). Suitable controllers are designed to ensure that synchronization can be achieved between the master system and slave system. Four numerical examples are provided to show the effectiveness and superiority of the obtained criteria. [ABSTRACT FROM AUTHOR]

This paper considers the problem of stabilization with event-triggered guaranteed cost control for a class of uncertain neural networks systems with time delays, where the time delays are assumed to be non-differentiable time-varying. A new Zeno-free dynamic event-triggered mechanism is first proposed, and then, based on it, a sufficient condition in terms of linear matrix inequalities is provided to ensure the asymptotic stability of the closed-loop system with guaranteed cost control. Two examples with simulations are provided to illustrate the efficiency of the proposed method. [ABSTRACT FROM AUTHOR]

In this paper, the design problem of fault detection filter for a class of networked control system subject to Markov jump parameters, randomly occurring uncertainties, sensor faults and packet dropouts by using state feedback control is investigated. The fault detection filter is used as an optimal residual generator that generates the residual signal and also guarantees the sensitivity of residual signal to the faults. To be more specific, a suitable threshold is selected for the residual evaluation function to reduce the error between the sensor faults and the residual signal. Further, by employing a fault detection technique along with output quantization approach, a new set of sufficient conditions is derived to ensure the stochastic stabilization of the addressed system with sensor faults under a predefined H ∞ performance level. Particularly, by constructing Lyapunov–Krasovskii functional and utilizing extended Wirtinger-based single integral inequality, the required sufficient conditions are derived in terms of linear matrix inequalities for getting the required result. At last, two numerical examples including high alpha research vehicle model are presented to demonstrate the usefulness of our developed results. [ABSTRACT FROM AUTHOR]

This paper studies H∞ control of Markovian jump linear singularly perturbed systems (MJLSPSs). A sufficient condition in terms of linear matrix inequalities (LMIs), different from ones in previous existing works, is given for designing H∞ control to overcome the difficulties of solving either Riccati equations or nonlinear matrix inequalities. Then, the jump H∞ controller can be obtained effectively by solving the proposed LMIs. Furthermore, a method is developed for evaluating an allowable upper bound of the singular perturbation parameter, in which a prescribed H∞ performance is satisfied. Finally, two numerical examples are presented to illustrate the effectiveness of the proposed design methods. [ABSTRACT FROM AUTHOR]

This work addresses stability of interfered digital filters with state-delay and saturation arithmetic. By utilizing a quadratic Lyapunov functional and properties of saturation overflow, a new condition is established to ensure stability of interfered digital filters under the influence of saturation arithmetic and state-delay. The criterion is capable of finding minimum H ∞ norm in the existence of external disturbance and ensures exponential stability in the nonexistence of disturbance. Further, an improved condition is obtained to ensure asymptotic stability of digital filters with saturation arithmetic. The established conditions are in linear matrix inequality framework and therefore computationally less demanding. It is shown that the stability criteria presented in this study are less stringent than few existing stability results. With the help of numerical examples, superiority of the presented approach is demonstrated. [ABSTRACT FROM AUTHOR]

This paper is concerned with the problem of H ∞ control for a class of uncertain switched singular systems with time-varying state delays under asynchronous switching. The asynchronous phenomenon is caused by the choice of controller lagging behind the corresponding subsystem in practice. First, sufficient conditions by finding a novel piecewise Lyapunov–Krasovskii function combining with average dwell time technique are given to guarantee the exponential admissibility of the system. The algebraic equations and differential equations of the original system are proved to be exponentially stable. Then, a condition guaranteeing the H ∞ performance of the original system is derived based on the above analysis. Furthermore, strict LMI formulas for solving the state feedback controller are given. Finally, the effectiveness of the proposed methods is illustrated by numerical examples. [ABSTRACT FROM AUTHOR]

This paper is devoted to the problem of H ∞ filtering for a class of discrete-time singular Markovian jump systems with generally uncertain transition rates. Each transition rate of the jumping process is completely unknown or only the estimated value is known. The objective is to design a H ∞ filter such that the resulting filtering error system is stochastically admissible (regular, causal and stochastically stable) while satisfying a prescribed H ∞ performance γ . Sufficient conditions are derived that can guarantee the filtering error system is H ∞ stochastically admissible. Moreover, explicit expression of the filter gains is obtained by solving a set of strict linear matrix inequalities. Finally, a numerical example is included to illustrate the effectiveness of the proposed method. [ABSTRACT FROM AUTHOR]

This paper deals with the issue of state estimation for the class of bidirectional associative memory cellular neural networks (BAMCNNs) involving multi-proportional delays. The main objective of this problem is to sketch a state estimator by utilizing the known output measurements of the proposed network in such a way that the dynamics of the estimation error system is globally asymptotically stable. By formulating a proper Lyapunov-Krasovskii functional (LKF) and making use of the Lyapunov stability theory, delay-dependent and independent sufficient conditions are obtained in the form of linear matrix inequalities (LMIs) to achieve the prescribed estimation performance. By using specified parameter values, the state estimator gain matrices are calculated by means of solving the obtained LMIs. Finally, numerical illustrations are explored to show the applicability and advantages of the proposed theoretical results. [ABSTRACT FROM AUTHOR]

This paper studies the master–slave synchronization in a class of delayed neural networks under external disturbance. Initially, based on an exogenous disturbance model, an effective observer is proposed to estimate the disturbance and the estimation is further utilized to design the composite controller. Then, as for the overall closed-loop error system, by choosing an augmented Lyapunov–Krasovskii functional and using some recently reported techniques, a sufficient condition is established to guarantee the desired stability and H ∞ control performance. Furthermore, by combining free-weighting matrix technique with matrix transformation one, two co-design methods are obtained to ensure the existence of observer gain and controller ones in terms of linear matrix inequalities, which can possess much less conservatism. Finally, some comparisons and simulations in an example are given to illustrate our proposed methods. [ABSTRACT FROM AUTHOR]