Fuzzy sampled‐data exponential synchronization of T‐S fuzzy complex networks with discontinuous activations and mixed time‐varying delays

Abstract

This paper investigates the exponential synchronization for T‐S fuzzy complex networks (TSFCNs) with discontinuous activations and mixed time‐varying delays. Based on the IF‐THEN rules, the T‐S fuzzy model of complex networks has been obtained to approximate non‐linear dynamic systems via interpolating certain local linear system. A fuzzy sampled‐data control strategy is designed to achieve exponential stability for the TSFCN by constructing the bilateral time‐dependent Lyapunov–Krasovskii functional. Furthermore, according to the Filippov discontinuity theory, the exponential synchronization criteria of TSFCN with discontinuous activations and mixed time‐varying delays under the linear matrix inequality constraints are obtained. Finally, two numerical simulations are provided to illustrate the effectiveness and feasibility of the proposed method.

Quantized fault-tolerant pinning control for finite-time H∞ synchronization of T-S fuzzy discrete Markovian-jump complex networks subject to heterogeneous delays

“…As an efficient method with accurate approximation properties, Takagi-Sugeno (T-S) fuzzy model has been proposed to handle complex nonlinear systems [10]. Under a set of IF-THEN rules, the model of complex networks can be built via combining local input-output relations with nonlinear fuzzy membership functions, which has been applied in numerous existing works [11][12][13] so far. In [11], Wu et al concentrated on the partial coupled complex networks with T-S fuzzy nodes for synchronization control.…”