Global Stability of Almost Periodic Solution of a Class of Neutral-Type BAM Neural Networks

被引：1

作者：

Pan, Tetie ^{[1
]}

Shi, Bao ^{[1
]}

Yuan, Jian ^{[1
]}

机构：

[1] Naval Aeronaut & Astronaut Univ, Inst Syst Sci & Math, Yantai 264001, Shandong, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2012年

关键词：

EXPONENTIAL STABILITY; EXISTENCE; UNIQUENESS; DISCRETE; DELAYS;

D O I：

10.1155/2012/482584

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A class of BAM neural networks with variable coefficients and neutral delays are investigated. By employing fixed-point theorem, the exponential dichotomy, and differential inequality techniques, we obtain some sufficient conditions to insure the existence and globally exponential stability of almost periodic solution. This is the first time to investigate the almost periodic solution of the BAM neutral neural network and the results of this paper are new, and they extend previously known results.

引用

页数：18

共 50 条

[31] Periodic solution problems of neutral-type stochastic neural networks with time-varying delays
Zheng, Famei
Li, Xiaoliang
Du, Bo
FRONTIERS IN PHYSICS, 2024, 12
[32] Almost periodic solutions for neutral-type neural networks with the delays in the leakage term on time scales
Wang, Pan
Li, Yongkun
Ye, Yuan
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (15) : 4297 - 4310
[33] Existence and global exponential stability of pseudo almost periodic solution for neutral delay BAM neural networks with time-varying delay in leakage terms
Aouiti, Chaouki
Ben Gharbia, Imen
Cao, Jinde
M'hamdi, Mohammed Salah
Alsaedi, Ahmed
CHAOS SOLITONS & FRACTALS, 2018, 107 : 111 - 127
[34] Almost periodic dynamical behaviors of neutral-type neural networks with discontinuous activations and mixed delays
Qiu, Hongjun
Zhang, Yanhong
Xu, Chengfeng
Kong, Fanchao
FILOMAT, 2023, 37 (18) : 6089 - 6114
[35] Existence and exponential stability of periodic solution for a class of Cohen-Grossberg-type BAM neural networks
Tian, Anfeng
Gai, Mingjiu
Shi, Bao
Zhang, Qiang
NEUROCOMPUTING, 2010, 73 (16-18) : 3147 - 3159
[36] Pseudo almost periodic solutions of discrete-time neutral-type neural networks with delays
Fanchao Kong
Xianwen Fang
Applied Intelligence, 2018, 48 : 3332 - 3345
[37] Global Asymptotic Stability Analysis for Stochastic Neutral-Type Delayed Neural Networks
Feng, Wei
Wu, Haixia
2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5, 2010, : 2658 - 2662
[38] New conditions for global stability of neutral-type delayed Cohen-Grossberg neural networks
Ozcan, Neyir
NEURAL NETWORKS, 2018, 106 : 1 - 7
[39] Periodic solution for neutral-type inertial neural networks with time-varying delays
Mei Xu
Bo Du
Advances in Difference Equations, 2020
[40] Global attractive periodic solutions of neutral-type neural networks with delays in the leakage terms
Zhu, Shihong
Du, Bo
AIMS MATHEMATICS, 2023, 8 (11): : 26731 - 26744

← 1 2 3 4 5 →