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

被引：37

作者：

M'Hamdi, Mohammed Salah ^{[1
]}

Aouiti, Chaouki ^{[1
]}

Touati, Abderrahmane ^{[1
]}

Alimi, Adel M. ^{[2
]}

Snasel, Vaclav ^{[3
]}

机构：

[1] Univ Carthage, Dept Math, Fac Sci Bizerta, BP W, Zarzouna 7021, Bizerta, Tunisia

[2] Univ Sfax, Natl Engn Sch Sfax ENIS, REGIM Lab, Res Grp Intelligent Machines, BP 1173, Sfax 3038, Tunisia

[3] VSB Tech Univ Ostrava, Ostrava, Czech Republic

来源：

ACTA MATHEMATICA SCIENTIA | 2016年 / 36卷 / 06期

关键词：

weighted pseudo almost-periodic solution; shunting inhibitory cellular neural networks; mixed delays; global exponential stability; GLOBAL EXPONENTIAL STABILITY;

D O I：

10.1016/S0252-9602(16)30098-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：1662 / 1682

页数：21

共 38 条

[1] Asymptotic almost automorphic solutions of impulsive neural network with almost automorphic coefficients [J].

Abbas, Syed ;

Mahto, Lakshman ;

Hafayed, Mokhtar ;

Alimi, Adel M. .

NEUROCOMPUTING, 2014, 142 :326-334

[2]

Ammar Boudour, 2012, EXISTENCE UNIQUENESS, V23, P109

[3]

[Anonymous], 2000, LINEAR SYSTEMS EXPON

[4] Pseudo Almost Automorphic Solutions of Recurrent Neural Networks with Time-Varying Coefficients and Mixed Delays [J].

Aouiti, Chaouki ;

M'hamdi, Mohammed Salah ;

Touati, Abderrahmane .

NEURAL PROCESSING LETTERS, 2017, 45 (01) :121-140

[5] Global stability of almost periodic solutions of Hopfield neural networks with neutral time-varying delays [J].

Bai, Chuanzhi .

APPLIED MATHEMATICS AND COMPUTATION, 2008, 203 (01) :72-79

[6] Existence and stability of almost periodic solutions of Hopfield neural networks with continuously distributed delays [J].

Bai, Chuanzhi .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (11) :5850-5859

[7] SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS - DERIVATION AND STABILITY ANALYSIS [J].

BOUZERDOUM, A ;

PINTER, RB .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1993, 40 (03) :215-221

[8] A set of stability criteria for delayed cellular neural networks [J].

Cao, J .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2001, 48 (04) :494-498

[9] Almost periodic attractor of delayed neural networks with variable coefficients [J].

Cao, JD ;

Chen, AP ;

Huang, X .

PHYSICS LETTERS A, 2005, 340 (1-4) :104-120

[10] Matrix measure strategies for stability and synchronization of inertial BAM neural network with time delays [J].

Cao, Jinde ;

Wan, Ying .

NEURAL NETWORKS, 2014, 53 :165-172

← 1 2 3 4 →