Title :
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
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;
Conference_Titel :
Control Conference, 2006. CCC 2006. Chinese
Conference_Location :
Harbin
Print_ISBN :
7-81077-802-1
DOI :
10.1109/CHICC.2006.280561
