Title :
Globally exponential synchronization of hyperchaotic systems
Author :
Xuezhen Liu ; Li, Yuxia ; Zhao, Dandan ; Xuezhen Liu
Author_Institution :
Coll. of Inf. & Electr. Eng., Shandong Univ. of Sci. & Technol., Qingdao
Abstract :
The globally exponential synchronization(GES) was proved based on the Lyapunov theorem for globally exponential stability. To demonstrate the theoretical predictions, the GES of hyperchaotic Chen and Lorenz systems were studied. Therefore, several nonlinear control laws were designed to obtain GES of the two hyperchaotic systems.The effectiveness of the control laws is demonstrated by using of both numerical and theoretical analysis.
Keywords :
Lyapunov methods; asymptotic stability; chaos; control system synthesis; nonlinear control systems; numerical analysis; synchronisation; Chen system; GES; Lorenz system; Lyapunov theorem; globally exponential synchronization; hyperchaotic systems; nonlinear control laws; numerical analysis; theoretical analysis; Asymptotic stability; Automation; Chaotic communication; Control systems; Convergence; Educational institutions; Industrial electronics; Intelligent control; Lighting control; Nonlinear control systems; globally exponential synchronization; hyperchaotic system; nonlinear control;
Conference_Titel :
Intelligent Control and Automation, 2008. WCICA 2008. 7th World Congress on
Conference_Location :
Chongqing
Print_ISBN :
978-1-4244-2113-8
Electronic_ISBN :
978-1-4244-2114-5
DOI :
10.1109/WCICA.2008.4593385
