EXISTENCE AND GLOBAL STABILITY OF ALMOST AUTOMORPHIC SOLUTIONS FOR SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH TIME-VARYING DELAYS IN LEAKAGE TERMS ON TIME SCALES

被引：8

作者：

Xu, Changjin ^{[1
]}

Tang, Xianhua ^{[2
]}

Li, Peiluan ^{[3
]}

机构：

[1] Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Guizhou, Peoples R China

[2] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

[3] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471023, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2018年 / 8卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Shunting inhibitory cellular neural networks; almost automorphic solution; exponential stability; leakage term; time-varying delay; ALMOST-PERIODIC SOLUTIONS; ANTIPERIODIC SOLUTIONS; DIFFERENTIAL-EQUATIONS; EXPONENTIAL STABILITY; ACTIVATION FUNCTIONS; DYNAMIC EQUATIONS; VARIABLE-COEFFICIENTS; DISTRIBUTED DELAYS; LIPSCHITZ; UNIQUENESS;

D O I：

10.11948/2018.1033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

this paper, shunting inhibitory cellular neural networks(SICNNs) with time-varying delays in leakage terms on time scales are investigated. With the aid of the existence of the exponential dichotomy of linear dynamic equations on time scales, fixed point theorem and the theory of calculus on time scales, we establish some sufficient conditions to ensure the existence and exponential stability of almost automorphic solutions for the model. An example with its numerical simulations is given to illustrate the feasibility and effectiveness of the theoretical findings.

引用

页码：1033 / 1049

页数：17

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