Impulsive fractional-order neural networks with time-varying delays: almost periodic solutions

被引：29

作者：

Stamov, Gani ^{[1
]}

Stamova, Ivanka ^{[1
]}

机构：

[1] Univ Texas San Antonio, Dept Math, San Antonio, TX 78249 USA

来源：

NEURAL COMPUTING & APPLICATIONS | 2017年 / 28卷 / 11期

关键词：

Almost periodic solutions; Impulsive fractional functional; Neural networks; Asymptotic stability; Lyapunov method; GLOBAL EXPONENTIAL STABILITY; DIFFERENTIAL-EQUATIONS; EXISTENCE; SYNCHRONIZATION; DISSIPATIVITY; CHAOS;

D O I：

10.1007/s00521-016-2229-4

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 study the problems of existence and global asymptotic stability of almost periodic solutions for a cellular neural network of fractional order with time-varying delays and impulses. The impulses are realized at fixed moments of time and can be considered as a control. The main results are obtained by employing the fractional Lyapunov method and fractional comparison principle.

引用

页码：3307 / 3316

页数：10

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