A New Approach to Stability Analysis for Stochastic Hopfield Neural Networks With Time Delays

被引：6
|
作者：
Lv, Xiang [1 ]
机构：
[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2022年 / 67卷 / 10期
基金：
中国国家自然科学基金; 美国国家科学基金会;
关键词：
Neurons; Dynamical systems; Delays; Biological neural networks; Differential equations; Stochastic processes; Stability criteria; Random dynamical systems; stability; stationary solutions; stochastic delay neural networks; GLOBAL EXPONENTIAL STABILITY; SMALL-GAIN THEOREM; ASYMPTOTIC STABILITY; SYSTEMS; OSCILLATIONS; DISCRETE; DYNAMICS; INPUTS;
D O I：
10.1109/TAC.2021.3120682
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This article is devoted to the existence and the global stability of stationary solutions for stochastic Hopfield neural networks with time delays and additive white noises. Using the method of random dynamical systems, we present a new approach to guarantee that the infinite-dimensional stochastic flow generated by stochastic delay differential equations admits a globally attracting random equilibrium in the state-space of continuous functions. An example is given to illustrate the effectiveness of our results, and the forward trajectory synchronization will occur.
引用
收藏
页码：5278 / 5288
页数：11
相关论文
共 50 条
  • [1] Robust stability for stochastic Hopfield neural networks with time delays
    Wang, Zidong
    Shu, Huisheng
    Fang, Jian'an
    Liu, Xiaohui
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2006, 7 (05) : 1119 - 1128
  • [2] Exponential stability of neural stochastic Hopfield neural networks with time varying delays
    Liu, Linna
    Deng, Feiqi
    [J]. 2019 3RD IEEE CONFERENCE ON CONTROL TECHNOLOGY AND APPLICATIONS (IEEE CCTA 2019), 2019, : 660 - 665
  • [3] Stochastic stability analysis, of fuzzy hopfield neural networks with time-varying delays
    Huang, H
    Ho, DWC
    Lam, J
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2005, 52 (05) : 251 - 255
  • [4] ROBUST STABILITY ANALYSIS FOR FUZZY STOCHASTIC HOPFIELD NEURAL NETWORKS WITH TIME-VARYING DELAYS
    Gopalakrishnan, N.
    [J]. COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2020, 69 (02): : 1285 - 1309
  • [5] Stability Analysis of Stochastic Neutral Hopfield Neural Networks with Multiple Time-Varying Delays
    Li, Yongcai
    Xu, Shengbing
    Feng, Jiqiang
    [J]. ADVANCES IN SWARM INTELLIGENCE, ICSI 2022, PT II, 2022, : 132 - 142
  • [6] Novel Robust Stability Criteria for Stochastic Hopfield Neural Networks With Time Delays
    Yang, Rongni
    Gao, Huijun
    Shi, Peng
    [J]. IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2009, 39 (02): : 467 - 474
  • [7] STABILITY ANALYSIS OF HOPFIELD NEURAL NETWORKS WITH DELAYS
    周冬明
    曹进德
    李继彬
    [J]. Annals of Applied Mathematics, 1998, (02) : 362 - 369
  • [8] Stability analysis of uncertain fuzzy Hopfield neural networks with time delays
    Ali, M. Syed
    Balasubramaniam, P.
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (06) : 2776 - 2783
  • [9] Stability analysis of second order Hopfield neural networks with time delays
    Pei, JA
    Xu, DY
    Yang, ZC
    Zhu, W
    [J]. ADVANCES IN NEURAL NETWORKS - ISNN 2005, PT 1, PROCEEDINGS, 2005, 3496 : 241 - 246
  • [10] On stability of disturbed Hopfield neural networks with time delays
    Liu, YG
    You, ZS
    Cao, LP
    [J]. NEUROCOMPUTING, 2006, 69 (7-9) : 941 - 948
12345