Title :
Globally exponential synchronization of 4D four-wing hyperchaotic systems
Author_Institution :
Sch. of Electr. Eng. & Autom., Shandong Polytech. Univ., Jinan, China
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 4D four-wing hyperchaotic systems was studied. Therefore, four nonlinear control laws were designed to obtain GES of the four-wing hyperchaotic system. The effectiveness of the control laws is demonstrated by using of both numerical and theoretical analysis.
Keywords :
Lyapunov methods; asymptotic stability; chaos; nonlinear control systems; numerical analysis; synchronisation; 4D four-wing hyperchaotic systems; GES; Lyapunov theorem; globally exponential stability; globally exponential synchronization; nonlinear control laws; numerical analysis; theoretical analysis; theoretical predictions; Asymptotic stability; Chaotic communication; Control theory; Convergence; Stability; Synchronization; 4D four-wing hyperchaotic system; globally exponential synchronization; nonlinear control;
Conference_Titel :
Intelligent Control and Automation (WCICA), 2012 10th World Congress on
Conference_Location :
Beijing
Print_ISBN :
978-1-4673-1397-1
DOI :
10.1109/WCICA.2012.6358188
