title: Synchronization of chaotic nonlinear continuous neural networks with time-varying delay.
abstract: In this paper, the synchronization problem for delayed continuous time nonlinear complex neural networks is considered. The delay dependent state feed back synchronization gain matrix is obtained by considering more general case of time-varying delay. Using Lyapunov stability theory, the sufficient synchronization criteria are derived in terms of Linear Matrix Inequalities (LMIs). By decomposing the delay interval into multiple equidistant subintervals, Lyapunov-Krasovskii functionals (LKFs) are constructed on these intervals. Employing these LKFs, new delay dependent synchronization criteria are proposed in terms of LMIs for two cases with and without derivative of time-varying delay. Numerical examples are illustrated to show the effectiveness of the proposed method.
authors.affiliation: Department of Mathematics, Gandhigram Rural Institute, Deemed University, Gandhigram, Tamilnadu 624 302 India.
authors.forename: P
authors.initials: P
authors.lastname: Balasubramaniam
authors.forename: R
authors.initials: R
authors.lastname: Chandran
authors.forename: S
authors.initials: S
authors.lastname: Jeeva Sathya Theesar
keywords: Delay decomposition; Maximum admissible upper bound (MAUB); Neural networks; Synchronization; Time-varying delay