An LMI criterion for chaos synchronization via the linear-state-feedback approach

Author

Jiang, Guo-Ping ; Zheng, Wei Xing

Author_Institution

Dept. of Electron. Eng., Nanjing Univ. of Post & Telecommun.

fYear

2004

fDate

4-4 Sept. 2004

Firstpage

368

Lastpage

371

Abstract

Based on the Lyapunov stability theory in control theory, a new sufficient condition is proposed in this paper for chaos synchronization by the linear-state-feedback approach for a class of chaotic systems. By using Schur theorem and some matrix technique, this criterion is then transformed into the linear matrix inequality (LMI) form, which can be easily verified and resolved using the MATLAB LMI Toolbox. It is shown that under the proposed criterion chaos synchronization can be achieved at an exponential convergence rate. The effectiveness of the criterion proposed herein is verified and demonstrated by the chaotic Murali-Lakshmanan-Chua circuit

Keywords

Chua´s circuit; Lyapunov methods; chaos; convergence; linear matrix inequalities; software packages; state feedback; synchronisation; Lyapunov stability theory; MATLAB LMI Toolbox; Schur theorem; chaos synchronization; chaotic Murali-Lakshmanan-Chua circuit; chaotic systems; control theory; exponential convergence rate; linear matrix inequality; linear state feedback method; matrix technique; sufficient condition; Australia; Chaos; Chaotic communication; Circuits; Communication system control; Control systems; Convergence; Linear matrix inequalities; MATLAB; Stability criteria;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Aided Control Systems Design, 2004 IEEE International Symposium on

Conference_Location

Taipei

Print_ISBN

0-7803-8636-1

Type

conf

DOI

10.1109/CACSD.2004.1393904

Filename

1393904