Comparisons of Two Sufficient Conditions for Chaos Synchronization

Author

Jianping, Cai ; Jiangen, Wang ; Xiaofeng, Wu ; Shuhui, Chen

Author_Institution

Zhongshan Univ., Guangzhou

fYear

2007

Firstpage

235

Lastpage

240

Abstract

Two sufficient conditions for a generic master-slave synchronization scheme by linear state error feedback control are derived based respectively on Sylvester´s criterion and Gerschgorin disc theorem, which are expressed by some inequalities. It is proven theoretically that the sufficient condition by Sylvester´s criterion is more flexible than that by Gerschgorin disc theorem. The two sufficient conditions are further compared by three typical chaotic systems: the Duffing equation of two dimensions, the Lorenz system of three dimensions and a loudspeaker system of four dimensions. Numerical simulations support the theoretical result.

Keywords

chaos; linear systems; nonlinear control systems; state feedback; Duffing equation; Gerschgorin disc theorem; Lorenz system; Sylvester criterion; chaos synchronization; chaotic systems; generic master-slave synchronization scheme; linear state error feedback control; loudspeaker system; Chaos; Chaotic communication; Communication system control; Control systems; Error correction; Feedback control; Linear feedback control systems; Master-slave; Nonlinear control systems; Sufficient conditions; Gerschgorin disc theorem; Sylvester´s criterion; chaos synchronization; feedback control; sufficient condition;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference, 2007. CCC 2007. Chinese

Conference_Location

Hunan

Print_ISBN

978-7-81124-055-9

Electronic_ISBN

978-7-900719-22-5

Type

conf

DOI

10.1109/CHICC.2006.4346795

Filename

4346795