Fixed Point and Asymptotic Analysis of Cellular Neural Networks

被引：12
作者：
Lai, Xianghong [2 ]
Zhang, Yutian [1 ]
机构：
[1] Nanjing Univ Informat Sci & Technol, Sch Math & Stat, Nanjing 210044, Jiangsu, Peoples R China
[2] Nanjing Univ Informat Sci & Technol, Sch Econ & Management, Nanjing 210044, Jiangsu, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS | 2012年
基金：
中国国家自然科学基金;
关键词：
PARTIAL-DIFFERENTIAL-EQUATIONS; GLOBAL EXPONENTIAL STABILITY; PERIODIC-SOLUTIONS; DELAYS;
D O I：
10.1155/2012/689845
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We firstly employ the fixed point theory to study the stability of cellular neural networks without delays and with time-varying delays. Some novel and concise sufficient conditions are given to ensure the existence and uniqueness of solution and the asymptotic stability of trivial equilibrium at the same time. Moreover, these conditions are easily checked and do not require the differentiability of delays.
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页数：12
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