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In this paper, an aperiodically intermittent event-based control strategy is developed to investigate the practical fixed-time consensus (FTC) tracking problem of nonlinear multi-agent systems (MASs). Different from the traditional event-based scheme, we incorporate the event-based scheme into the intermittent control mechanism, and the aperiodically intermittent event-based mechanism is developed, which can significantly save resources, particularly in terms of reducing the energy consumption of communication. Additionally, our proposed mechanism enables practical intermittent event-based FTC tracking for a directed graph, while eliminating the dependence on initial states for convergence time estimation. Moreover, the measurement error and intermittent event-based controller are constructed based on the hyperbolic tangent function, then the non-differentiable problem and Zeno behavior can be avoided. Furthermore, an improved triggering mechanism of the event-based scheme is designed to avoid continuous monitoring in control intervals. Hence, resource consumption can be further reduced. Finally, the multiple ground vehicles and Chua’s circuit are considered in simulation examples to verify the effectiveness of theoretical results. Note to Practitioners—This paper addresses the FTC tracking problem of MASs via intermittent event-based control for a directed graph, which can be applied to multiple ground vehicles and Chua’s circuit system. Unlike the asymptotic and finite-time stability results, the upper bound of the convergence time can be estimated, which is unrelated to the initial states and can better satisfy the application requirements. Considering the limitation of communication bandwidth and saving resources, we take the event-based scheme into the intermittent control mechanism, and a new aperiodic intermittent event-based controller is designed under the fixed-time convergence. Contrary to the traditional fixed-time control strategies via intermittent control or event-based control, the proposed algorithms in this study can effectively reduce the update frequency of the controller and significantly save energy under intermittent monitoring, which is more friendly for control engineers. The feasibility of the obtained results is demonstrated by examples of multiple ground vehicles and Chua’s circuit. Potential applications of the proposed control algorithms include smart grid, cooperative search and exploration.

This paper investigates the T-S fuzzy-based bipartite quasi-synchronization of fractional-order heterogeneous coupled reaction-diffusion neural networks. In the considered neural networks, interactions between adjacent neurons are time-varying, cooperative, and competitive, and heterogeneity and T-S fuzzy system rule are simultaneously introduced to characterize the parameter uncertainty arising from complexity and ambiguity in the real world. A new time-varying graph-theoretic Lyapunov function is given for time-varying coupled reaction-diffusion neural networks. Meanwhile, a more general fractional-order derivative law is provided to estimate the derivative of this function, which includes the existing fractional-order derivative laws. Based on a fuzzy-based aperiodically intermittent control, some sufficient conditions are offered for the bipartite quasi-synchronization under a time-varying graph-theoretic Lyapunov function, and the allowable error bound is given. Finally, we carry out some simulations numerically to show the validity of the theory.

This brief explores the prescribed-time stability (PTS) of complex networks (CNs) with aperiodically intermittent control (AIC). A time-varying function is introduced in the new AIC so that the system can converge within an arbitrary prescribed time. A Lyapunov function is proposed by introducing an auxiliary function satisfying some conditions to solve the problem of studying the PTS for CNs with AIC. Then, combined Lyapunov method with Kirchhoff’s matrix tree theorem, the stability criterion for ensuring that CNs with AIC achieve the PTS is obtained. Furthermore, an application to coupled oscillator networks (CONs) is given. Some simulations are shown to demonstrate the validity of the main results.

This article considers the exponential output synchronization of complex networks with output coupling (CNOC) based on the intermittent event-triggered control (IE-TC) strategy. Unlike existing intermittent control strategies, the proposed IE-TC strategy is event-triggered instead of time-triggered during the control intervals. Moreover, the average control rate is adopted for intermittent control, which makes the results less conservative. A new Lyapunov function is proposed to simplify the proof, which does not require the traditional mathematical induction method for intermittent control. Based on the Lyapunov method and inequality technique, sufficient conditions for achieving exponential output synchronization of CNOC for undirected graph and digraph topologies are given, respectively. Moreover, the Zeno phenomenon can be excluded. Finally, an example with simulations is provided to verify the feasibility of the theoretical results.