EXISTENCE AND GLOBAL EXPONENTIAL STABILITY OF PERIODIC SOLUTION OF CELLULAR NEURAL NETWORKS WITH IMPULSES AND LEAKAGE DELAY

被引：13

作者：

Wang, Hui ^{[1
,2
]}

Li, Chuandong ^{[3
]}

Xu, Hongbing ^{[1
]}

机构：

[1] Univ Elect Sci & Technol China, Coll Automat, Chengdu 610064, Peoples R China

[2] Leshan Teachers Coll, Dept Math, Leshan 614004, Sichuan, Peoples R China

[3] Chongqing Univ, Coll Comp Sci, Chongqing 400030, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2009年 / 19卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Cellular neural networks (CNNs); periodic solution; leakage delay; exponential stability; degree theory; ASYMPTOTIC STABILITY; CONTINUOUS-TIME; CNNS;

D O I：

10.1142/S0218127409023329

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper investigates the global periodicity of cellular neural network with impulses and leakage delay (i.e. with delay state feedback instead of instantaneous state feedback). Several conditions guaranteeing the existence, uniqueness, and global exponential stability of periodic solution are derived by using the continuation theorem of coincidence degree theory and a suitable degenerate Lyapuniv-Krasvovskii functional together with model transformation technique.

引用

页码：831 / 842

页数：12

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