SYNCHRONIZATION OF MASTER-SLAVE MARKOVIAN SWITCHING COMPLEX DYNAMICAL NETWORKS WITH TIME-VARYING DELAYS IN NONLINEAR FUNCTION VIA SLIDING MODE CONTROL

摘要

In this article,a synchronization problem for master-slave Markovian switching complex dynamical networks with time-varying delays in nonlinear function via sliding mode control is investigated.On the basis of the appropriate Lyapunov-Krasovskii functional,introducing some free weighting matrices,new synchronization criteria are derived in terms of linear matrix inequalities (LMIs).Then,an integral sliding surface is designed to guarantee synchronization of master-slave Markovian switching complex dynamical networks,and the suitable controller is synthesized to ensure that the trajectory of the closed-loop error system can be driven onto the prescribed sliding mode surface.By using Dynkin's formula,we established the stochastic stablity of master-slave system.Finally,numerical example is provided to demonstrate the effectiveness of the obtained theoretical results.