Impulsive control for stabilization and synchronization of hyperchaotic Chua system

Author

Cheng Hao ; Wu Quanjun ; Zhou Jin

Author_Institution

Shanghai Inst. of Appl. Math. & Mech., Shanghai Univ., Shanghai, China

fYear

2011

fDate

22-24 July 2011

Firstpage

481

Lastpage

486

Abstract

The issues of impulsive control and synchronization of hyperchaotic Chua system are investigated in this paper. Based on the impulsive control theory of dynamical systems, some simple yet less conservative criteria for asymptotical stabilization and synchronization of impulsively controlled hyperchaotic Chua system are established. It is shown that impulses play an important role in making the controlled system asymptotically stable and synchronous. Subsequently, numerical results are presented to demonstrate the effectiveness of the proposed control techniques.

Keywords

asymptotic stability; chaos; differential equations; nonlinear control systems; synchronisation; asymptotic stability; differential equations; dynamical systems; hyperchaotic Chua system stabilization; hyperchaotic Chua system synchronization; impulsive control theory; Asymptotic stability; Chaos; Control systems; Control theory; Eigenvalues and eigenfunctions; Lyapunov methods; Synchronization; Hyperchaotic Chua System; Impulsive Control; Impulsive Synchronization;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2011 30th Chinese

Conference_Location

Yantai

ISSN

1934-1768

Print_ISBN

978-1-4577-0677-6

Electronic_ISBN

1934-1768

Type

conf

Filename

6000921