Stability and chaos of a neural network with uncertain time delays

被引:0
|
作者
Zhou, SB [1 ]
Li, H
Wu, ZF
机构
[1] Chongqing Univ, Dept Comp Sci & Engn, Chongqing 440004, Peoples R China
[2] Univ Lethbridge, Dept Math & Comp Sci, Lethbridge, AB T1K 3M4, Canada
关键词
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Time delays affect the behavior of a dynamic system significantly. Chaos have been found in a simplest neural network system consisted with even one neuron. It is known difficult to analyze chaos theoretically in a neural network system with uncertain time delays. In this paper we consider a neural network consisted with one neuron with uncertain time delays. Stability of the system is analyzed first. Chaos phenomenon of the system is then illustrated by giving the diagram of bifurcation and the largest Lyapunov exponent.
引用
下载
收藏
页码:340 / 345
页数:6
相关论文
共 50 条
  • [21] New robust stability criteria for uncertain neural networks with time-varying delays
    Zhang, Jinhui
    Qiu, Jiqing
    Shi, Peng
    ICICIC 2006: FIRST INTERNATIONAL CONFERENCE ON INNOVATIVE COMPUTING, INFORMATION AND CONTROL, VOL 3, PROCEEDINGS, 2006, : 648 - +
  • [22] Exponential stability analysis for uncertain neural networks with interval time-varying delays
    Kwon, O. M.
    Park, Ju H.
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 212 (02) : 530 - 541
  • [23] New stability criteria for uncertain neural networks with interval time-varying delays
    Wu, Haixia
    Feng, Wei
    Liang, Xinyuan
    COGNITIVE NEURODYNAMICS, 2008, 2 (04) : 363 - 370
  • [24] Robust μ-stability for uncertain stochastic neural networks with unbounded time-varying delays
    Liu, Xiwei
    Chen, Tianping
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2008, 387 (12) : 2952 - 2962
  • [25] Dynamic adaptive neural network control of systems with uncertain multiple-time-delays
    Zhang, Min
    Hu, Shou-Song
    Xi Tong Gong Cheng Yu Dian Zi Ji Shu/Systems Engineering and Electronics, 2009, 31 (02): : 434 - 438
  • [26] Robust stability of uncertain Markovian jump discrete-time recurrent neural networks with time delays
    Gao, Ming
    Sheng, Li
    Cui, Baotong
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2010, 41 (12) : 1525 - 1536
  • [27] Washout filter-based chaotic control in a neural network with uncertain time delays
    Zhou, SB
    Liao, LF
    Wu, ZF
    Li, H
    2005 INTERNATIONAL CONFERENCE ON COMMUNICATIONS, CIRCUITS AND SYSTEMS, VOLS 1 AND 2, PROCEEDINGS: VOL 1: COMMUNICATION THEORY AND SYSTEMS, 2005, : 959 - 963
  • [28] Fixed-Time Stability for Discontinuous Uncertain Inertial Neural Networks With Time-Varying Delays
    Kong, Fanchao
    Zhu, Quanxin
    Huang, Tingwen
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2022, 52 (07): : 4507 - 4517
  • [29] STABILITY OF STOCHASTIC-SYSTEMS WITH UNCERTAIN TIME DELAYS
    VERRIEST, EI
    FLORCHINGER, P
    SYSTEMS & CONTROL LETTERS, 1995, 24 (01) : 41 - 47
  • [30] Exponential stability of uncertain stochastic fuzzy BAM neural networks with time-varying delays
    Ali, M. Syed
    Balasubramaniam, P.
    NEUROCOMPUTING, 2009, 72 (4-6) : 1347 - 1354