Exponential convergence of Cohen-Grossberg neural networks with continuously distributed leakage delays

被引：0

作者：

Chen, Zhibin ^{[1
]}

Gong, Shuhua ^{[2
]}

机构：

[1] Hunan Univ Technol, Sch Sci, Zhuzhou 412000, Hunan, Peoples R China

[2] Jiaxing Univ, Coll Math Phys & Informat Engn, Jiaxing 314001, Zhejiang, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年

基金：

中国国家自然科学基金;

关键词：

Cohen-Grossberg neural network; global exponential convergence; continuously distributed delay; leakage term; TIME-VARYING DELAYS; PERIODIC-SOLUTIONS; STABILITY; BAM; TERMS; EXISTENCE; CRITERIA;

D O I：

10.1186/1029-242X-2014-48

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the global exponential convergence of Cohen-Grossberg neural networks with continuously distributed leakage delays. By using the Lyapunov functional method and differential inequality techniques, we propose a new approach to establishing some sufficient conditions ensuring that all solutions of the networks converge exponentially to the zero point. Our results complement some recent ones.

引用

页数：8

共 50 条

[41] The existence of nonzero almost periodic solution for Cohen-Grossberg neural networks with continuously distributed delays and impulses
Li, Yongkun
Zhang, Tianwei
Xing, Zhiwei
NEUROCOMPUTING, 2010, 73 (16-18) : 3105 - 3113
[42] Global exponential convergence of delayed inertial Cohen-Grossberg neural networks
Wu, Yanqiu
Dai, Nina
Tu, Zhengwen
Wang, Liangwei
Tang, Qian
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2023, 28 (06): : 1062 - 1076
[43] Exponential Convergence for Cellular Neural Networks with Continuously Distributed Delays in the Leakage Terms
Xiong, Wanmin
Meng, Junxia
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2013, (10)
[44] Exponential stability of Cohen-Grossberg neural networks
School of Sciences, Xi'an Jiaotong University, Xi'an 710049, China
Hsi An Chiao Tung Ta Hsueh, 2006, 2 (215-218):
[45] Global Asymptotic Stability of Reaction-Diffusion Cohen-Grossberg Neural Networks With Continuously Distributed Delays
Wang, Zhanshan
Zhang, Huaguang
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2010, 21 (01): : 39 - 49
[46] Adaptive Synchronization for Inertial Cohen-Grossberg Neural Networks with Distributed Delays
Wang, Yanyan
Yan, Zhilian
ENGINEERING LETTERS, 2023, 31 (04) : 1486 - 1491
[47] Exponential stability of Cohen-Grossberg neural networks
Wang, L
Zou, XF
NEURAL NETWORKS, 2002, 15 (03) : 415 - 422
[48] Harmless delays in Cohen-Grossberg neural networks
Wang, L
Zou, XF
PHYSICA D-NONLINEAR PHENOMENA, 2002, 170 (02) : 162 - 173
[49] STOCHASTIC STABILITY OF COHEN-GROSSBERG NEURAL NETWORKS WITH UNBOUNDED DISTRIBUTED DELAYS
Chen, Ping
Huang, Chuangxia
Liang, Xiaolin
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2010,
[50] LMI-based Criteria for Cohen-Grossberg BAM Neutral Neural Networks with Continuously Distributed Delays
Liu, Guoquan
Wang, Zhicheng
Luo, Chaomin
Luo, Xianxi
2016 12TH INTERNATIONAL CONFERENCE ON NATURAL COMPUTATION, FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY (ICNC-FSKD), 2016, : 321 - 324

← 1 2 3 4 5 →