Modified Impulsive Synchronization of Fractional Order Hyperchaotic Chen Systems

Author

Ma, Tiedong ; Jiang, Weibo ; Fu, Jie

Author_Institution

Coll. of Autom., Chongqing Univ., Chongqing, China

fYear

2011

fDate

19-22 Oct. 2011

Firstpage

283

Lastpage

287

Abstract

In this paper, a modified impulsive control scheme is proposed to realize complete synchronization of fractional order hyperchaotic Chen systems. By constructing the suitable response system, the integral order synchronization error system is obtained. Based on the theory of Lyapunov stability and impulsive differential equations, some effective sufficient conditions are derived to guarantee the asymptotical stability of synchronization error system. In particular, some simpler and more convenient conditions are derived by taking the same impulsive distances and control gains. Comparing with the existing results, the main results in this paper are more practical and rigorous. Simulation results show the effectiveness and feasibility of the proposed impulsive control method.

Keywords

Lyapunov methods; asymptotic stability; chaos; differential equations; error analysis; synchronisation; Lyapunov stability; asymptotical stability; fractional order hyperchaotic Chen system; impulsive control scheme; impulsive differential equation; impulsive distance; impulsive synchronization; integral order synchronization error system; response system; Chaotic communication; Control systems; Educational institutions; Eigenvalues and eigenfunctions; Stability analysis; Synchronization; fractional order chaotic systems; hyperchaotic systems; impulsive control; synchronization;

fLanguage

English

Publisher

ieee

Conference_Titel

Chaos-Fractals Theories and Applications (IWCFTA), 2011 Fourth International Workshop on

Conference_Location

Hangzhou

Print_ISBN

978-1-4577-1798-7

Type

conf

DOI

10.1109/IWCFTA.2011.40

Filename

6093538