Passivity and Synchronization of Multiple Multi-Delayed Neural Networks via Impulsive Control

Abstract

This paper is concerned with the passivity and synchronization for multiple multi-delayed neural networks (MMDNNs) under impulsive control. To ensure the passivity, input strict passivity, and output strict passivity in MMDNNs, a suitable impulsive controller is designed. Moreover, an impulsive time-dependent Lyapunov functional is exploited to obtain the synchronization criterion of MMDNNs, where the criterion is formulated by linear matrix inequalities. Numerical examples are given to verify the validity of the theoretical results.

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

“…e theory of passivity is valid and robust when studying the stability for nonlinear systems since passivity properties of a system can keep the internal stability of the system [13][14][15]. Up to now, a lot of interesting results about passivity of MNNs have been reported [16][17][18].…”