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

doi:10.1016/S0252-9602(17)30008-5

摘要/Abstract

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.

关键词: Markovian switching, complex dynamical networks, Lyapunov-Krasovskii method, sliding mode control, Linear Matrix Inequality

Abstract:

Key words: Markovian switching, complex dynamical networks, Lyapunov-Krasovskii method, sliding mode control, Linear Matrix Inequality

M. Syed ALI, J. YOGAMBIGAI, 曹进德. SYNCHRONIZATION OF MASTER-SLAVE MARKOVIAN SWITCHING COMPLEX DYNAMICAL NETWORKS WITH TIME-VARYING DELAYS IN NONLINEAR FUNCTION VIA SLIDING MODE CONTROL[J]. 数学物理学报(英文版), 2017, 37(2): 368-384.

M. Syed ALI, J. YOGAMBIGAI, Jinde CAO. SYNCHRONIZATION OF MASTER-SLAVE MARKOVIAN SWITCHING COMPLEX DYNAMICAL NETWORKS WITH TIME-VARYING DELAYS IN NONLINEAR FUNCTION VIA SLIDING MODE CONTROL[J]. Acta mathematica scientia,Series B, 2017, 37(2): 368-384.

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