ADAPTIVE PINNING SYNCHRONIZATION OF COUPLED NEURAL NETWORKS WITH MIXED DELAYS AND VECTOR-FORM STOCHASTIC#br#
PERTURBATIONS

doi:10.1016/S0252-9602(12)60072-1

Abstract

Abstract:

In this article, we consider the global chaotic synchronization of general cou-pled neural networks, in which subsystems have both discrete and distributed delays. Stochastic perturbations between subsystems are also considered. On the basis of two sim-ple adaptive pinning feedback control schemes, Lyapunov functional method, and stochas-tic analysis approach, several sufficient conditions are developed to guarantee global syn-chronization of the coupled neural networks with two kinds of delay couplings, even if only partial states of the nodes are coupled. The outer-coupling matrices may be symmetric or asymmetric. Unlike existing results that an isolate node is introduced as the pinning target, we pin to help the network realizing synchronization without introducing any iso-late node when the network is not synchronized. As a by product, sufficient conditions under which the network realizes synchronization without control are derived. Numerical simulations confirm the effectiveness of the obtained results.

Key words: Coupled neural networks, mixed delays, synchronization, vector-form noises, pinning, adaptive, asymmetric coupling

CLC Number:

74H65

YANG Xin-Song, CAO Jin-De. ADAPTIVE PINNING SYNCHRONIZATION OF COUPLED NEURAL NETWORKS WITH MIXED DELAYS AND VECTOR-FORM STOCHASTIC#br# PERTURBATIONS[J].Acta mathematica scientia,Series B, 2012, 32(3): 955-977.

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ADAPTIVE PINNING SYNCHRONIZATION OF COUPLED NEURAL NETWORKS WITH MIXED DELAYS AND VECTOR-FORM STOCHASTIC#br# PERTURBATIONS

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