DocumentCode
420744
Title
Novel synchronization conditions for a class of coupled chaotic systems
Author
Jiang, Guo-Ping ; Zheng, Wei Xing
Author_Institution
Dept. of Electron. Eng., Nanjing Univ. of Posts & Telecommun., China
Volume
2
fYear
2004
fDate
15-19 June 2004
Firstpage
1272
Abstract
The linear coupling method is applied to achieve chaos synchronization for a class of chaotic systems, in which the nonlinear functions satisfy the Lipschitz condition. Some new sufficient conditions are developed based on Lyapunov stability theory. By using Gerschgorin theorem in matrix theory, the conditions are then transformed into the forms of algebraic inequalities. The proposed method and conditions are applied to the chaotic Chua´s circuits for demonstration.
Keywords
Chua´s circuit; Lyapunov methods; chaos; matrix algebra; nonlinear control systems; nonlinear functions; stability; synchronisation; Gerschgorin theorem; Lipschitz condition; Lyapunov stability theory; algebraic inequalities; chaos synchronization; coupled chaotic systems; linear coupling method; nonlinear functions; Australia; Chaos; Chaotic communication; Circuit noise; Couplings; Erbium; Linear matrix inequalities; Lyapunov method; Sufficient conditions; Symmetric matrices;
fLanguage
English
Publisher
ieee
Conference_Titel
Intelligent Control and Automation, 2004. WCICA 2004. Fifth World Congress on
Print_ISBN
0-7803-8273-0
Type
conf
DOI
10.1109/WCICA.2004.1340841
Filename
1340841
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