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.

Stability and synchronization analysis of inertial memristive neural networks with time delays

“…Several effective methods such as delay decomposition approach, convex combination, free weighting matrix approach and inequalities technique have been explored and developed in the literature, see for examples Balasubramaniam et al (2011), Balasubramaniam and Vembarasan (2012). Moreover, in Wang and Shen (2015), authors have concerned the synchronization of memristor-based neural networks with time-varying delays is investigated by employing the Newton-Leibniz formulation and inequality technique.…”

Global Stability of Fractional Order Coupled Systems with Impulses via a Graphic Approach

“…There are a large amount of scientific research results on the stability and synchronization of both integer-order and fractional-order differential equations. For examples, one can refer to [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. Besides, there are many results about fractional equations such as [16][17][18][19][20][21][22].…”

Synchronization of continuous-time Markovian jumping singular complex networks with mixed mode-dependent time delays

“…At the same time, several literatures have been published concerning the synchronization analysis of the complex networks with Markovian jumping parameters. For example, in [12,14], the exponential synchronization problem of complex networks with Markovian jumping parameters and mixed delays is investigated. However, it is worth pointing out that, up to now, all the aforementioned results concerning dynamics analysis problems for delayed complex networks with or without Markovian jumping parameters have been applied to continuous-time models [15][16][17][18][19][20].…”