Projective synchronization of a hyperchaotic system via periodically intermittent control

We further study the projective synchronization of a new hyperchaotic system. Different from the most existing methods, intermittent control is applied to chaotic synchronization in the present paper. We formulate the intermittent control system that governs the dynamics of the projective synchroniz...

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Bibliographic Details
Published inChinese physics B Vol. 21; no. 9; pp. 156 - 160
Main Author 黄军建 李传东 张伟 韦鹏程
Format Journal Article
LanguageEnglish
Published 01.09.2012
Subjects
Computer simulation
Control systems
Controllers
Dynamical systems
Dynamics
Lyapunov稳定性理论
Mathematical analysis
Stability
Synchronism
Synchronization
动态管理
投影同步
指数稳定性
混沌同步
稳定性判据
超混沌系统
间歇控制系统
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Summary:We further study the projective synchronization of a new hyperchaotic system. Different from the most existing methods, intermittent control is applied to chaotic synchronization in the present paper. We formulate the intermittent control system that governs the dynamics of the projective synchronization error, then derive the sufficient conditions for the exponential stability of intermittent control system by using the Lyapunov stability theory, and finally establish the periodically intermittent controller according to the stability criterion by which the projective synchronization is expected to be achieved. The analytical results are also demonstrated by several numerical simulations.
Bibliography:Huang aun-aian, Li Chuan-Dong, Zhang Wei, and Wei Peng-Cheng a） College of Computer, Chongqing University, Chongqing 400030, China b） Department of Computer Science, Chongqing Education College, Chongqing 400067, China
intermittent control, hyperchaotic system, projective synchronization
We further study the projective synchronization of a new hyperchaotic system. Different from the most existing methods, intermittent control is applied to chaotic synchronization in the present paper. We formulate the intermittent control system that governs the dynamics of the projective synchronization error, then derive the sufficient conditions for the exponential stability of intermittent control system by using the Lyapunov stability theory, and finally establish the periodically intermittent controller according to the stability criterion by which the projective synchronization is expected to be achieved. The analytical results are also demonstrated by several numerical simulations.
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:10.1088/1674-1056/21/9/090508