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
收藏
页码：3307 / 3316
页数：10
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