Fault-tolerant passive synchronization for complex dynamical networks with Markovian jump based on sampled-data control

Abstract

This paper investigates fault-tolerant passive synchronization for a class of complex dynamical networks with Markovian jump and coupling time-varying delays based on sampled-data control. The main purpose is to design a fault-tolerant sampled-data controller to ensure that the closed-loop error system is passively synchronous in the presence of actuator failure. By constructing a novel Lyapunov–Krasovskii functional, in which the characteristics of the sampled-data are fully considered. Then combining some integral inequalities, free weighting matrices and convex combination method, we establish the passive synchronization criterion for a class of complex dynamical networks with Markovian jump. Moreover, the proposed passive synchronization criterion can be simplified into the form of linear matrix inequalities (LMIs) using Matlab toolbox. Finally, two numerical examples are given to verify the validity and practicability of the theoretical results.