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

fYear

2008

fDate

25-27 June 2008

Firstpage

2894

Lastpage

2899

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/WCICA.2008.4593385

Filename

4593385