Dynamics and oscillations of generalized high-order Hopfield neural networks with mixed delays

被引：46

作者：

Alimi, Adel M. ^{[1
]}

Aouiti, Chaouki ^{[2
]}

Cherif, Farouk ^{[3
]}

Dridi, Farah ^{[2
]}

M'hamdi, Mohammed Salah ^{[4
]}

机构：

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

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

[3] Univ Sousse, Lab Math Phys Specials Funct & Applicat LR11ES35, ISSATS, Dept Comp sci, Sousse 4002, Tunisia

[4] Univ Bejaia, Fac Technol, Dept Technol, Bejaia 06000, Algeria

来源：

NEUROCOMPUTING | 2018年 / 321卷

关键词：

High-order Hopfield neural networks; Pseudo almost automorphic; Mixed delays; Global exponential stability; Exponential convergence; ALMOST-PERIODIC SOLUTIONS; TIME-VARYING DELAYS; FUNCTIONAL-DIFFERENTIAL EQUATIONS; GLOBAL EXPONENTIAL STABILITY; AUTOMORPHIC SOLUTIONS; WEIGHTED PSEUDO; BANACH-SPACES; DISTRIBUTED DELAYS; EXISTENCE; DISCRETE;

D O I：

10.1016/j.neucom.2018.01.061

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Existence and uniqueness of pseudo almost automorphic solutions for a class of high-order Hopfield neural networks are established by employing a suitable fixed point theorem and differential inequality. Moreover, the attractivity and global exponential stability of the pseudo almost automorphic solution are also considered for the system. Two Numerical examples with graphical illustrations are given to illuminate our main results. (C) 2018 Published by Elsevier B.V.

引用

页码：274 / 295

页数：22

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