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

doi:10.1007/s10473-020-0319-y

数学物理学报(英文版) ›› 2020, Vol. 40 ›› Issue (3): 863-886.doi: 10.1007/s10473-020-0319-y

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

K. S. ANAND, J. YOGAMBIGAI, G. A. HARISH BABU, M. SYED ALI, S. PADMANABHAN

1 APS College of Engineering, Bangalore 560082, India;
2 MMES College of Arts and Science, Melvisharam, Tamilnadu, India;
3 Reva Institute of Technology and Management, Bengaluru-560064;
4 Department of Mathematics, Thiruvalluvar University, Vellore, Tamilnadu 632 115, India;
5 RNS Institute of Technology, Channasandra, Bangalore 560098, India

收稿日期:2018-08-29 修回日期:2019-07-04 出版日期:2020-06-25 发布日期:2020-07-17
作者简介:M. SYED ALI,E-mail:syedgru@gmail.com
基金资助:
The work of author was supported by NBHM grant. 2/48 (5)/2016/NBHMR.P)/-R -D II/14088

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

K. S. ANAND, J. YOGAMBIGAI, G. A. HARISH BABU, M. SYED ALI, S. PADMANABHAN

1 APS College of Engineering, Bangalore 560082, India;
2 MMES College of Arts and Science, Melvisharam, Tamilnadu, India;
3 Reva Institute of Technology and Management, Bengaluru-560064;
4 Department of Mathematics, Thiruvalluvar University, Vellore, Tamilnadu 632 115, India;
5 RNS Institute of Technology, Channasandra, Bangalore 560098, India

Received:2018-08-29 Revised:2019-07-04 Online:2020-06-25 Published:2020-07-17
Supported by:
The work of author was supported by NBHM grant. 2/48 (5)/2016/NBHMR.P)/-R -D II/14088

摘要/Abstract

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.

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

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

中图分类号:

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]. 数学物理学报(英文版), 2020, 40(3): 863-886.

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

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

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