Global asymptotic stability of a class of dynamic neural systems with asymmetric connection weights

被引:0
|
作者
Xia, YS [1 ]
Wang, J [1 ]
机构
[1] Chinese Univ Hong Kong, Dept Automat & Comp Aided Engn, Shatin, Hong Kong, Peoples R China
关键词
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Recently, a class of dynamic neural systems were presented and analyized due to their good performance in optimization computation and low complexity for implementation. The global asymptotic stability of dynamic neural systems with symmetric weights was well studied. In this paper, we investigate the global asymptotical stability of a dynamic neural system with asymmetric weights. Since asymmetric weight cases are more general than symmetric ones, the new results are significant in both theory and applications.
引用
收藏
页码:870 / 871
页数:2
相关论文
共 50 条
  • [41] Global asymptotic stability in a class of difference equations
    Yang, Xiaofan
    Cui, Limin
    Tang, Yuan Yan
    Cao, Jianqiu
    ADVANCES IN DIFFERENCE EQUATIONS, 2007, 2007 (1)
  • [42] Global Asymptotic Stability and Robust Stability of a Class of Cohen-Grossberg Neural Networks With Mixed Delays
    Zhang, Huaguang
    Wang, Zhanshan
    Liu, Derong
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2009, 56 (03) : 616 - 629
  • [43] Global asymptotic stability in pseudolinear systems
    A. O. Ignat’ev
    Mathematical Notes, 2017, 102 : 429 - 430
  • [44] Global asymptotic stability in pseudolinear systems
    Ignat'ev, A. O.
    MATHEMATICAL NOTES, 2017, 102 (3-4) : 429 - 430
  • [45] Global Asymptotic Stability and Stabilization of Long Short-Term Memory Neural Networks with Constant Weights and Biases
    Deka, Shankar A.
    Stipanovic, Dusan M.
    Murmann, Boris
    Tomlin, Claire J.
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2019, 181 (01) : 231 - 243
  • [46] Global asymptotic stability and global exponential stability of delayed cellular neural networks
    Liao, XXX
    Wang, J
    Zeng, ZG
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2005, 52 (07) : 403 - 409
  • [47] Global Asymptotic Stability and Stabilization of Long Short-Term Memory Neural Networks with Constant Weights and Biases
    Shankar A. Deka
    Dušan M. Stipanović
    Boris Murmann
    Claire J. Tomlin
    Journal of Optimization Theory and Applications, 2019, 181 : 231 - 243
  • [48] Global Uniform Asymptotic Stability of a Class of Switched Linear Systems with an Infinite Number of Subsystems
    Araghi, L. F.
    Suratgar, A. A.
    Feizi, E.
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [49] Global Asymptotic Stability for a Class of Generalized Neural Networks with Interval Time-Varying Delays
    Zhang, Xian-Ming
    Han, Qing-Long
    IEEE TRANSACTIONS ON NEURAL NETWORKS, 2011, 22 (08): : 1180 - 1192
  • [50] Analysis of Global Asymptotic Stability and Pseudo Almost Periodic Solution of a Class of Chaotic Neural Networks
    Cherif, Farouk
    MATHEMATICAL MODELLING AND ANALYSIS, 2013, 18 (04) : 489 - 504