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
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;
Conference_Titel :
Intelligent Control and Automation, 2004. WCICA 2004. Fifth World Congress on
Print_ISBN :
0-7803-8273-0
DOI :
10.1109/WCICA.2004.1340841
