SYNCHRONIZATION OF SINGULAR MARKOVIAN JUMPING NEUTRAL COMPLEX DYNAMICAL NETWORKS WITH TIME-VARYING DELAYS VIA PINNING CONTROL

doi:10.1007/s10473-020-0319-y

Abstract

Abstract: This article discusses the synchronization problem of singular neutral complex dynamical networks (SNCDN) with distributed delay and Markovian jump parameters via pinning control. Pinning control strategies are designed to make the singular neutral complex networks synchronized. Some delay-dependent synchronization criteria are derived in the form of linear matrix inequalities based on a modified Lyapunov-Krasovskii functional approach. By applying the Lyapunov stability theory, Jensen's inequality, Schur complement, and linear matrix inequality technique, some new delay-dependent conditions are derived to guarantee the stability of the system. Finally, numerical examples are presented to illustrate the effectiveness of the obtained results.

Key words: Singular complex networks, synchronization, Lyapunov-krasovski method, markovian jump, pinning control, linear matrix inequality

CLC Number:

93D05

K. S. ANAND, J. YOGAMBIGAI, G. A. HARISH BABU, M. SYED ALI, S. PADMANABHAN. SYNCHRONIZATION OF SINGULAR MARKOVIAN JUMPING NEUTRAL COMPLEX DYNAMICAL NETWORKS WITH TIME-VARYING DELAYS VIA PINNING CONTROL[J].Acta mathematica scientia,Series B, 2020, 40(3): 863-886.

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