Almost Automorphic Solutions of Impulsive Cellular Neural Networks with Piecewise Constant Argument

被引：18

作者：

Abbas, Syed ^{[1
]}

Xia, Yonghui ^{[2
]}

机构：

[1] Indian Inst Technol Mandi, Sch Basic Sci, Mandi 175001, HP, India

[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

来源：

NEURAL PROCESSING LETTERS | 2015年 / 42卷 / 03期

基金：

中国博士后科学基金;

关键词：

Almost automorphic function; Almost automorphic sequence; Cellular neural network; GLOBAL EXPONENTIAL STABILITY; PERIODIC SEQUENCE SOLUTION; DIFFERENTIAL-EQUATIONS; DISTRIBUTED DELAYS; VARIABLE-COEFFICIENTS; GENERALIZED TYPE; CONTINUOUS-TIME; EXISTENCE; DISCRETE; ATTRACTIVITY;

D O I：

10.1007/s11063-014-9381-6

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper we discuss the existence and uniqueness of almost automorphic solutions of an impulsive model of neural network with piecewise constant argument. These kind of solutions are more general than periodic and almost periodic solutions. The results are established by using fixed point theorem. We give several sufficient conditions for the exponential and global attractivity of the solution. At the end an example with numerical simulation is given to illustrate our analytical findings.

引用

页码：691 / 702

页数：12

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