WEIGHTED PSEUDO ALMOST-PERIODIC SOLUTIONS OF SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH MIXED DELAYS

In this paper, we prove the existence and the global exponential stability of the unique weighted pseudo almost-periodic solution of shunting inhibitory cellular neural networks with mixed time-varying delays comprising different discrete and distributed time delays. Some sufficient conditions are g...

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Bibliographic Details
Published in:Acta mathematica scientia Vol. 36; no. 6; pp. 1662 - 1682
Main Author: Mohammed Salah M＇HAMDI Chaouki AOUITI Abderrahmane TOUATI Adel M. ALIMI Vaclav SNASEL
Format: Journal Article
Language:English
Published: Elsevier Ltd 01.11.2016
Department of Mathematics, University of Carthage, Faculty of Sciences of Bizerta,BP W, 7021 Zarzouna, Bizerta, Tunisia%REGIM-lab: Research Groups on Intelligent Machines, University of Sfax, National Engineering School of Sfax(ENIS), BP 1173, Sfax 3038, Tunisia%VSB Technical University of Ostrava, Czech Republic
Subjects:
34C27
34D20
34K05
34K40
47H10
92B20
global exponential stability
mixed delays
shunting inhibitory cellular neural networks
weighted pseudo almost-periodic solution
伪概周期解
全局指数稳定性
分流
加权
变时滞
混合
细胞神经网络
解的存在性
global exponential stability
34C27
34K40
47H10
shunting inhibitory cellular neural networks
mixed delays
34D20
34K05
92B20
weighted pseudo almost-periodic solution
ISSN:0252-9602, 1572-9087
Online Access:Get full text
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Summary:In this paper, we prove the existence and the global exponential stability of the unique weighted pseudo almost-periodic solution of shunting inhibitory cellular neural networks with mixed time-varying delays comprising different discrete and distributed time delays. Some sufficient conditions are given for the existence and the global exponential stability of the weighted pseudo almost-periodic solution by employing fixed point theorem and differential inequality techniques. The results of this paper complement the previously known ones. Finally, an illustrative example is given to demonstrate the effectiveness of our results.
Bibliography:weighted pseudo almost-periodic solution; shunting inhibitory cellular neuralnetworks; mixed delays; global exponential stability
In this paper, we prove the existence and the global exponential stability of the unique weighted pseudo almost-periodic solution of shunting inhibitory cellular neural networks with mixed time-varying delays comprising different discrete and distributed time delays. Some sufficient conditions are given for the existence and the global exponential stability of the weighted pseudo almost-periodic solution by employing fixed point theorem and differential inequality techniques. The results of this paper complement the previously known ones. Finally, an illustrative example is given to demonstrate the effectiveness of our results.
42-1227/O
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(16)30098-4