Exponential networked synchronization of master-slave chaotic systems with time-varying communication topologies

The networked synchronization problem of a class of master-slave chaotic systems with time-varying communication topologies is investigated in this paper. Based on algebraic graph theory and matrix theory, a simple linear state feedback controller is designed to synchronize the master chaotic system...

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Published inChinese physics B Vol. 21; no. 4; pp. 151 - 158
Main Author 杨东升 刘振伟 赵琰 刘兆冰
Format Journal Article
LanguageEnglish
Published 01.04.2012
Subjects
Algebra
Chaos theory
Communication systems
Controllers
Feedback
Lyapunov稳定性理论
Stability
Synchronism
Synchronization
Topology
主从
同步问题
拓扑结构
时间变化
混沌系统
结构网络
通信方案
Online AccessGet full text
ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/21/4/040503

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Summary:The networked synchronization problem of a class of master-slave chaotic systems with time-varying communication topologies is investigated in this paper. Based on algebraic graph theory and matrix theory, a simple linear state feedback controller is designed to synchronize the master chaotic system and the slave chaotic systems with a time- varying communication topology connection. The exponential stability of the closed-loop networked synchronization error system is guaranteed by applying Lyapunov stability theory. The derived novel criteria are in the form of linear matrix inequalities （LMIs）, which are easy to examine and tremendously reduce the computation burden from the feedback matrices. This paper provides an alternative networked secure communication scheme which can be extended conveniently. An illustrative example is given to demonstrate the effectiveness of the proposed networked synchronization method.
Bibliography:The networked synchronization problem of a class of master-slave chaotic systems with time-varying communication topologies is investigated in this paper. Based on algebraic graph theory and matrix theory, a simple linear state feedback controller is designed to synchronize the master chaotic system and the slave chaotic systems with a time- varying communication topology connection. The exponential stability of the closed-loop networked synchronization error system is guaranteed by applying Lyapunov stability theory. The derived novel criteria are in the form of linear matrix inequalities （LMIs）, which are easy to examine and tremendously reduce the computation burden from the feedback matrices. This paper provides an alternative networked secure communication scheme which can be extended conveniently. An illustrative example is given to demonstrate the effectiveness of the proposed networked synchronization method.
Yang Dong-Sheng, Liu Zhen-Wei, Zhao Yan, and Liu Zhao-Bing a） College of Information Science and Engineering, Northeastern University, Shenyang 110004, China b） Department of Automatic Control Engineering, Shenyang Institute of Engineering, Shenyang 110136, China
exponential networked synchronization, master-slave chaotic systems, algebraic graph theory, communication topology
11-5639/O4
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/21/4/040503