Revision and improvement of a Theorem for robust synchronization of nonidentical Lur´e systems

Author

Wu, Xiao Feng ; Cai, Jian Ping ; Zhao, Yi

Author_Institution

Dept. of Math., Zhongshan (Sun Yat-sen) Univ., Guangzhou, China

Volume

52

Issue

7

fYear

2005

fDate

7/1/2005 12:00:00 AM

Firstpage

429

Lastpage

432

Abstract

In 1999, Suykens, Curran, and Chua obtained some nice results for robust synchronization of the master-slave Lur´e systems with parameter mismatch. Lately, it has been found that, in Theorem 2 of Suykens-Curran-Chua, there exists a defect on the estimation of the synchronization error bound. In this paper, a counterexample is taken to verify this defect and then a revision of the theorem is given. Finally, an improved version of the revised theorem is proposed to make the estimation more precise.

Keywords

chaos; matrix algebra; parameter estimation; synchronisation; master-slave Lur´e systems; matrix inequalities; nonidentical Lur´e systems; parameter estimation; parameter mismatch; robust synchronization; synchronization error bound; Chaotic communication; Control systems; Linear matrix inequalities; Master-slave; Mathematics; Robustness; State feedback; Sun; Symmetric matrices; Vectors; Lur´e systems; matrix inequalities; synchronization; synchronization error bound;

fLanguage

English

Journal_Title

Circuits and Systems II: Express Briefs, IEEE Transactions on

Publisher

ieee

ISSN

1549-7747

Type

jour

DOI

10.1109/TCSII.2005.850422

Filename

1468345