Finite-time synchronization of sampled-data Markovian jump complex dynamical networks with additive time-varying delays based on dissipative theory

Abstract

This paper is concerned with the problem of finite-time synchronization issue of sampled data Markovian jump complex dynamical networks (MJCDNs) with additive time-varying delays based on dissipative theory. Sufficient conditions to guarantee the finite-time stability of MJCDNs with additive time-varying delays are presented. Sampled-data control with stochastically varying sampling periods is considered. The closed-loop system is not just finite-time bounded but also satisfies the dissipativity conditions. Further we handled a nonuniform sampled data controller. By utilizing the properties of Kronecker product combined with the appropriate Lyapunov-functionals technique, a novel delay-dependent finite-time stability of dissipativity rule is derived in terms of linear matrix inequalities (LMIs) to ensure that the delayed complex dynamical systems to be dissipative. Finally numerical examples are given to represent the applicability of the proposed approach.