Synchronization of Singular Markovian Jumping Neutral Complex Dynamical Networks with Time-Varying Delays via Pinning Control

被引：9

作者：

Anand, K. S. ^{[1
]}

Yogambigai, J. ^{[2
]}

Harish Babu, G. A. ^{[3
]}

Ali, M. Syed ^{[4
]}

Padmanabhan, S. ^{[5
]}

机构：

[1] APS Coll Engn, Bangalore 560082, Karnataka, India

[2] MMES Coll Arts & Sci, Melvisharam, Tamil Nadu, India

[3] Reva Inst Technol & Management, Bengaluru 560064, India

[4] Thiruvalluvar Univ, Dept Math, Vellore 632115, Tamil Nadu, India

[5] RNS Inst Technol, Bangalore 560098, Karnataka, India

来源：

ACTA MATHEMATICA SCIENTIA | 2020年 / 40卷 / 03期

关键词：

Singular complex networks; synchronization; Lyapunov-krasovskimethod; markovian jump; pinning control; linear matrix inequality; NEURAL-NETWORKS; EXPONENTIAL SYNCHRONIZATION; CLUSTER SYNCHRONIZATION; STATE ESTIMATION; STABILITY; CRITERIA; DISCRETE; INTERVAL; SYSTEMS; MODEL;

D O I：

10.1007/s10473-020-0319-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：863 / 886

页数：24

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