Impulsive Multisynchronization of Coupled Multistable Neural Networks With Time-Varying Delay

被引：120

作者：

Wang, Yan-Wu ^{[1
,2
]}

Yang, Wu ^{[1
,2
]}

Xiao, Jiang-Wen ^{[1
,2
]}

Zeng, Zhi-Gang ^{[1
,2
]}

机构：

[1] Huazhong Univ Sci & Technol, Sch Automat, Wuhan 430074, Peoples R China

[2] Huazhong Univ Sci & Technol, Minist Educ, Key Lab Image Proc & Intelligent Control, Wuhan 430074, Peoples R China

来源：

IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS | 2017年 / 28卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Coupled delayed multistable neural networks (NNs); directed topology; impulsive control strategy; multisynchronization; GLOBAL SYNCHRONIZATION; STABILITY ANALYSIS; EXPONENTIAL SYNCHRONIZATION; ASYMPTOTIC STABILITY; ROBUST STABILITY; GENERAL-CLASS; SYSTEMS; CRITERIA; CONSENSUS; ARRAYS;

D O I：

10.1109/TNNLS.2016.2544788

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper studies the synchronization problem of coupled delayed multistable neural networks (NNs) with directed topology. To begin with, several sufficient conditions are developed in terms of algebraic inequalities such that every subnetwork has multiple locally exponentially stable periodic orbits or equilibrium points. Then two new concepts named dynamical multisynchronization (DMS) and static multisynchronization (SMS) are introduced to describe the two novel kinds of synchronization manifolds. Using the impulsive control strategy and the Razumikhin-type technique, some sufficient conditions for both the DMS and the SMS of the controlled coupled delayed multistable NNs with fixed and switching topologies are derived, respectively. Simulation examples are presented to illustrate the effectiveness of the proposed results.

引用

页码：1560 / 1571

页数：12

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