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

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

数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (3): 955-977.doi: 10.1016/S0252-9602(12)60072-1

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

杨鑫松¹|曹进德^2*

1.Department of Mathematics, Chongqing Normal University, Chongqing 400047, China|2.Department of Mathematics, Southeast University, Nanjing 210096, China

收稿日期:2010-04-19 出版日期:2012-05-20 发布日期:2012-05-20
通讯作者: 曹进德，jdcao@seu.edu.cn E-mail:xinsongyang28@gmail.com；jdcao@seu.edu.cn
基金资助:
This work was jointly supported by the National Natural Science Foundation of China under Grant No. 60874088 and No. 11072059, the Scientific Research Fund of Yunnan Province under Grant No. 2010ZC150, and the Scientific Research Fund of Yunnan Provincial Education Department under Grant No. 07Y10085.

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

YANG Xin-Song¹, CAO Jin-De^2*

1.Department of Mathematics, Chongqing Normal University, Chongqing 400047, China|2.Department of Mathematics, Southeast University, Nanjing 210096, China

Received:2010-04-19 Online:2012-05-20 Published:2012-05-20
Contact: CAO Jin-De，jdcao@seu.edu.cn E-mail:xinsongyang28@gmail.com；jdcao@seu.edu.cn
Supported by:
This work was jointly supported by the National Natural Science Foundation of China under Grant No. 60874088 and No. 11072059, the Scientific Research Fund of Yunnan Province under Grant No. 2010ZC150, and the Scientific Research Fund of Yunnan Provincial Education Department under Grant No. 07Y10085.

摘要/Abstract

摘要：

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.

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

Abstract:

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

中图分类号:

74H65

杨鑫松, 曹进德. ADAPTIVE PINNING SYNCHRONIZATION OF COUPLED NEURAL NETWORKS WITH MIXED DELAYS AND VECTOR-FORM STOCHASTIC#br# PERTURBATIONS[J]. 数学物理学报(英文版), 2012, 32(3): 955-977.

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

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

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