Delay-Dependent Fuzzy Sampled-Data Synchronization of T–S Fuzzy Complex Networks With Multiple Couplings

Abstract

This paper studies the problem of synchronization for a class of Takagi–Sugeno (T–S) fuzzy complex networks, where the node dynamics may include partial coupling, diffusion coupling, discrete-time coupling, and delayed coupling. A fuzzy sampled-data control strategy that takes into account the time-delay effect is designed to solve the synchronization problem of such networks. Synchronization criteria are established for complex networks with the target node by constructing a modified time-dependent Lyapunov functional and using a mathematical induction approach. In contrast to most existing results, the constructed Lyapunov functional is neither necessarily positive on sampling intervals nor needlessly continuous at sampling instants. Moreover, a corresponding greater aperiodic sampling interval is obtained. Numerical simulation is presented to demonstrate the feasibility and validity of the proposed strategies.