Finite-Time Synchronization and Passivity of Multiple Delayed Coupled Neural Networks via Impulsive Control

Abstract

This paper focuses on the finite-time passivity (FTP) and finite-time synchronization (FTS) for multiple delayed coupled neural networks (MDCNNs) with and without uncertain parameters. A novel FTP criterion for MDCNNs with different dimensions of input and output is derived by designing an impulsive controller and using the Jensen's inequality. Then, by means of the Lyapunov functional and integral inequality techniques, a sufficient condition is established to ensure the FTS of MDCNNs via impulsive control. Furthermore, the robust FTP and FTS in MDCNNs are considered. Finally, a numerical example is given to demonstrate the validity of the presented results. INDEX TERMS Impulsive control, finite-time passivity, finite-time synchronization, multiple time delays, coupled neural networks.

Finite-Time Bound Synchronization of the New Chaotic System With Energy Consumption Estimation

“…In the existing finite time control research for complex systems, the controller generally adopts nonlinear feedback controller. For example, in [27,[32][33][34][35], the controller contains exponential term, () , this kind of controller is discontinuous controller, while another kind of controller contains exponential term and symbolic function, such as (()) () in [30][31], this kind of controller is continuous controller. Theorem 1 only uses linear feedback controller to realize finite time control of chaotic system.…”

“…This kind of controller contains neither exponential term nor symbolic function. Obviously, the controller in Theorem 1 is simpler than the existing controller in [27,[30][31][32][33][34][35]. Remark 3.…”

“…Generally, the shorter the synchronization time between two chaotic systems, the less the control cost. In order to shorten the control time of chaotic systems, people pay more and more attention to finite-time control technology, so various finite-time control methods are proposed [27,[32][33][34][35]. In the existing finite-time control methods, the general controller contains a symbolic function, which is a discontinuous functional controller [31][32].…”

Feedback Control for Passivity of Memristor‐Based Multiple Weighted Coupled Neural Networks

“…Complex networks (CNs) have attracted more and more interests of researchers in recent years, and CNs are ubiquitous in our life, such as communication networks, metabolic system networks, and food networks. Coupled NNs (CNNs) are a special class of CNs, which are composed of many NNs through mutually coupling [19,20]. Considering the fact that the passivity of CNNs has been broadly applied to many fields including chaos generators and brain science.…”