Exponential stability of delayed and impulsive cellular neural networks with partially Lipschitz continuous activation functions

被引：42
作者：
Song, Xueli [1 ]
Xin, Xing [2 ]
Huang, Wenpo [3 ]
机构：
[1] Changan Univ, Dept Math & Informat Sci, Xian 710064, Peoples R China
[2] CASC, Acad 4, Inst 41, Xian 710025, Peoples R China
[3] Univ Macau, Fac Business Adm, Macau, Peoples R China
来源：
NEURAL NETWORKS | 2012年 / 29-30卷
关键词：
Partial Lipschitz continuity; Relative nonlinear measure; Exponential stability; Cellular neural networks; Distributed delays; GLOBAL ASYMPTOTIC STABILITY; DISTRIBUTED DELAYS; CRITERIA;
D O I：
10.1016/j.neunet.2012.01.006
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The paper discusses exponential stability of distributed delayed and impulsive cellular neural networks with partially Lipschitz continuous activation functions. By relative nonlinear measure method, some novel criteria are obtained for the uniqueness and exponential stability of the equilibrium point. Our method abandons usual assumptions on global Lipschitz continuity, boundedness and monotonicity of activation functions. Our results are generalization and improvement of some existing ones. Finally, two examples and their simulations are presented to illustrate the correctness of our analysis. (C) 2012 Elsevier Ltd. All rights reserved.
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收藏
页码：80 / 90
页数：11
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