Title :
Anti-Synchronization of Hyperchaotic Lorenz System and Liu System
Author :
Shi, Xue Rong ; Wang, Zuolei
Author_Institution :
Dept. of Math., Yancheng Teachers Univ., Yancheng, China
Abstract :
This work is concerned with anti-synchronization of hyperchaotic Lorenz system (four orders) and Liu system (three orders) by add-order method. Based on Lyapunov stability theory, different controllers are designed to anti-synchronize the two non-identical chaotic systems, active control is used when parameters are known, while the adaptive control rule and the parameter update law are derived via adaptive control when parameters are uncertain. Finally, numerical simulations are also shown to verify the results.
Keywords :
Lyapunov methods; adaptive control; chaos; control system synthesis; nonlinear control systems; synchronisation; uncertain systems; Liu system; Lyapunov stability theory; active control; adaptive control; add-order method; antisynchronization; controller design; hyperchaotic Lorenz system; nonidentical chaotic systems; uncertain system; Adaptive control; Chaos; Control systems; Equations; Lyapunov method; Mathematics; Numerical simulation; Sufficient conditions;
Conference_Titel :
Photonics and Optoelectronics, 2009. SOPO 2009. Symposium on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-4412-0
DOI :
10.1109/SOPO.2009.5230207
