Title :
A Note on Synchronization of a Fractional Order Coullet Chaotic System
Author :
Wen Tan ; Fengling Jiang ; Jianxun Liu ; Min Chen
Author_Institution :
Key Lab. of Knowledge Process. & Networked Manuf., Hunan Univ. of Sci. & Technol., Xiangtan, China
Abstract :
In this paper, chaos synchronization problem of the fractional order Coullet system in a master-slave pattern is investigated by using the nonlinear feedback control method. Suitable synchronization conditions are analyzed based on the Lyapunov stability theory. And the synchronization of commensurate order Coullet chaotic system of the base order 0.98 is implemented by virtue of the method. Numerical simulations are provided to verify the performance of the proposed controller.
Keywords :
Lyapunov matrix equations; chaos; differential equations; feedback; nonlinear control systems; stability; synchronisation; Lyapunov stability theory; chaos synchronization problem; chaotic system; fractional order Coullet chaotic system; master slave pattern; nonlinear feedback control method; Asymptotic stability; Chaotic communication; Differential equations; Feedback control; Lyapunov methods; Synchronization; Chaotic synchronization; Fractional differential equations; Fractional order Coullet chaotic system; Nonlinear control; master-slave;
Conference_Titel :
Intelligent System Design and Engineering Application (ISDEA), 2012 Second International Conference on
Conference_Location :
Sanya, Hainan
Print_ISBN :
978-1-4577-2120-5
DOI :
10.1109/ISdea.2012.544
