Search

This paper is concerned with the event-based finite-time H ∞ control problem for a class of networked state-saturated switched systems subject to time delays, nonlinear perturbations and exogenous ...

This paper investigates the exponential synchronization of Master–Slave Markovian jump complex networks with nonlinear perturbation via a sampled-data sliding mode control. First introduce an impro...

The problem of fault detection for a class of nonlinear systems with randomly occurring nonlinear perturbations under the adaptive event-triggered scheme is investigated. The phenomena of randomly ...

The impulsive synchronisation of singular hybrid coupled systems with time-varying nonlinear perturbation is discussed in this paper. The synchronising impulsive effects are considered for singular hybrid coupled systems. A sufficient condition that ensures the synchronisation of singular impulsive dynamical networks is derived by applying a single pinning impulsive controller. Moreover, the convergence rate of the stability is estimated for the discussed dynamical network. Finally, simulation result is given to illustrate the effectiveness of the developed criteria.

This paper investigates the finite-time stability FTS analysis problem for switched systems with both nonlinear perturbation and time-varying delays. For the system to be finite-time stable, a sufficient condition is proposed based on some delay differential inequalities DDIs, rather than the Lyapunov-like functions which are commonly used in the FTS analysis of switched systems. Compared with the Lyapunov-like function method, the FTS conditions based on the DDI method are easier for checking and do not require FTS of each subsystem. Two examples are given to illustrate the effectiveness of the developed theory.

This paper concerns the stability analysis for singular systems with time-varying delay and nonlinear perturbations. Two cases of time-varying delay, which is differentiable (Case 1) or not differentiable (Case 2), are considered. The considered nonlinear perturbations includes the norm-bounded uncertainties as a special case. Some delay-dependent stability criteria are derived by using a delay decomposition approach. In the delay decomposition approach, the entire delay interval is divided into multiple sub-intervals for which different energy functions are defined for building new Lyapunov–Krasovskii functional. Some numerical and practical examples are given to show the effectiveness and significant improvement of the proposed method.

This article investigates the robust stability of linear neutral systems with time-varying delay and nonlinear perturbations. Using a new Lyapunov-Krasovskii functional and employing some free weighting matrices, less conservative delay-dependent robust stability conditions for such systems in terms of linear matrix inequalities are derived. Numerical examples are given to indicate significant improvements over some existing results.

In this paper, the problem of the stability analysis for neutral delay-differential systems with nonlinear perturbations is investigated. Using the Lyapunov method, we present new sufficient conditions for the stability, in terms of the linear matrix inequality (LMI), which can be easily solved by various convex optimization algorithms. Numerical examples are given to illustrate the application of the proposed method.

Based on Lyapunov stability theory associated with transformation techniques, the D-stability robustness problem is first discussed for discrete large-scale systems subjected to interconnections and perturbations. Three classes of perturbation are treated: (1) unstructured parametric perturbations; (2) highly structured parametric perturbations; and (3) nonlinear perturbations. If all the eigenvalues of each nominal subsystem are located inside the specified discs D i (α i , r i ), respectively, sufficient conditions for D-stability are presented to guarantee that all the eigenvalues of each perturbed subsystem remain inside the same discs