The Existence and the Stability of Weighted Pseudo Almost Periodic Solution of High-Order Hopfield Neural Network

被引：12

作者：

Aouiti, Chaouki ^{[1
]}

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

Cherif, Farouk ^{[2
]}

机构：

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

[2] Univ Sousse, Lab Math Phys Specials Funct & Applicat LR11ES35, ESSHS, Sousse 4002, Tunisia

来源：

ARTIFICIAL NEURAL NETWORKS AND MACHINE LEARNING - ICANN 2016, PT I | 2016年 / 9886卷

关键词：

Weighted pseudo almost-periodic solution; High-order Hopfield neural networks; Delays;

D O I：

10.1007/978-3-319-44778-0_56

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, by employing fixed point theorem and differential inequality techniques, some sufficient conditions are given for the existence and the global exponential stability of the unique weighted pseudo almost-periodic solution of high-order Hopfield neural networks with delays. An illustrative example is also given at the end of this paper to show the effectiveness of our results.

引用

页码：478 / 485

页数：8

共 50 条

[1] Existence and Exponential Stability of Periodic Solution of High-Order Hopfield Neural Network with Delays on Time Scales
Li, Yongkun
Zhao, Lili
Liu, Ping
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2009, 2009
[2] Existence and Stability of Pseudo Almost Periodic Solution for Neutral Type High-Order Hopfield Neural Networks with Delays in Leakage Terms on Time Scales
Li, Yongkun
Yang, Li
Li, Bing
NEURAL PROCESSING LETTERS, 2016, 44 (03) : 603 - 623
[3] Existence and Stability of Pseudo Almost Periodic Solution for Neutral Type High-Order Hopfield Neural Networks with Delays in Leakage Terms on Time Scales
Yongkun Li
Li Yang
Bing Li
Neural Processing Letters, 2016, 44 : 603 - 623
[4] Existence and exponential stability of positive almost periodic solutions for high-order Hopfield neural networks
Bing Xiao
Hua Meng
APPLIED MATHEMATICAL MODELLING, 2009, 33 (01) : 532 - 542
[5] Existence and exponential stability of almost-periodic solutions for high-order Hopfield neural networks
Yu, Yuehua
Cai, Mingshan
MATHEMATICAL AND COMPUTER MODELLING, 2008, 47 (9-10) : 943 - 951
[6] Existence and Global Exponential Stability of Pseudo Almost Periodic Solution for Clifford- Valued Neutral High-Order Hopfield Neural Networks With Leakage Delays
Li, Bing
Li, Yongkun
IEEE ACCESS, 2019, 7 : 150213 - 150225
[7] Existence and Exponential Stability of Almost Periodic Solution for Hopfield Neural Network Equations with Almost Periodic Imput
杨喜陶
NortheasternMathematicalJournal, 2006, (02) : 199 - 205
[8] PSEUDO ALMOST PERIODIC SOLUTION OF FRACTIONAL-ORDER CLIFFORD-VALUED HIGH-ORDER HOPFIELD NEURAL NETWORKS
Huo, Nina
Li, Yongkun
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2024, 14 (05): : 2488 - 2504
[9] Piecewise Pseudo Almost Periodic Solution for Impulsive Generalised High-Order Hopfield Neural Networks with Leakage Delays
Aouiti, Chaouki
M'hamdi, Mohammed Salah
Cao, Jinde
Alsaedi, Ahmed
NEURAL PROCESSING LETTERS, 2017, 45 (02) : 615 - 648
[10] Piecewise Pseudo Almost Periodic Solution for Impulsive Generalised High-Order Hopfield Neural Networks with Leakage Delays
Chaouki Aouiti
Mohammed Salah M’hamdi
Jinde Cao
Ahmed Alsaedi
Neural Processing Letters, 2017, 45 : 615 - 648

← 1 2 3 4 5 →