Asymptotic almost automorphic solutions of impulsive neural network with almost automorphic coefficients

被引：32

作者：

Abbas, Syed ^{[1
]}

Mahto, Lakshman ^{[1
]}

Hafayed, Mokhtar ^{[2
]}

Alimi, Adel M. ^{[3
]}

机构：

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

[2] Mohamed Khider Univ, Lab Appl Math, Biskra 07000, Algeria

[3] Univ Sfax, Dept Elect & Comp Engn, Sfax, Tunisia

来源：

NEUROCOMPUTING | 2014年 / 142卷

关键词：

Neural networks; Impulsive condition; Fixed point method; Almost automorphic functions; Lyapunov-like functional; PERIODIC-SOLUTIONS; EXISTENCE; EQUATIONS; STABILITY; PSEUDO;

D O I：

10.1016/j.neucom.2014.04.028

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 existence and asymptotic stability of asymptotically almost automorphic solution of impulsive neural networks with delay is discussed. The results are established by using various fixed point theorems and Lyapunov-like functional. As far as we know, this is the first paper to discuss such kind of solutions for impulsive neural networks. At the end, we give few examples to illustrate our theoretical findings. One can see that the numerical simulation results show asymptotically almost automorphic behaviour of the solution. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：326 / 334

页数：9

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