Coupled Lag Synchronization for Chaotic Delayed Neural Networks Via LMI Approach

Author

Bo Li ; Yang, Dong ; Xiaohong Zhang

Author_Institution

Coll. of Math. & Phys., Chongqing Univ., China

fYear

2006

fDate

7-11 Aug. 2006

Firstpage

1092

Lastpage

1095

Abstract

In this paper, the chaotic lag synchronization for coupled time-delayed neural systems is investigated in detail firstly. We analyze the asymptotic stability for the error dynamical system based on Lyapunov method and linear matrix inequality (LMI) technique. A new sufficient condition for determining the lag synchronization between the coupling systems is derived. Above all, we skillfully shift our criterion which is expressed in the terms of LMI into the generalized eigenvalue minimization programming (GEVP) for the first time. The minimum of coupling strength is obtained successfully. A numerical experiment illustrates the effectiveness and advantage of our results.

Keywords

Lyapunov matrix equations; asymptotic stability; chaos; delay systems; eigenvalues and eigenfunctions; linear matrix inequalities; minimisation; synchronisation; Lyapunov method; asymptotic stability; chaotic delayed neural networks; coupled lag synchronization; coupled time-delayed neural systems; error dynamical system; generalized eigenvalue minimization programming; linear matrix inequality; Asymptotic stability; Biological neural networks; Chaos; Chaotic communication; Chemical lasers; Eigenvalues and eigenfunctions; Linear matrix inequalities; Lyapunov method; Neural networks; Nonlinear dynamical systems; Chaos; Delayed neural system; GEVP; LMI; Lag-synchronization;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference, 2006. CCC 2006. Chinese

Conference_Location

Harbin

Print_ISBN

7-81077-802-1

Type

conf

DOI

10.1109/CHICC.2006.280561

Filename

4060245