New Improved Exponential Stability Criteria for Discrete-Time Neural Networks with Time-Varying Delay

被引：2
|
作者：
Liu, Zixin [1 ,2 ]
Lv, Shu [1 ]
Zhong, Shouming [1 ]
Ye, Mao [3 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Appl Math, Chengdu 610054, Peoples R China
[2] Guizhou Coll Finance & Econ, Sch Math & Stat, Guiyang 550004, Peoples R China
[3] Univ Elect Sci & Technol China, Sch Engn & Comp Sci, Chengdu 610054, Peoples R China
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2009年 / 2009卷
关键词：
GLOBAL ROBUST STABILITY; PERIODIC-SOLUTION; SYSTEMS;
D O I：
10.1155/2009/874582
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The robust stability of uncertain discrete-time recurrent neural networks with time-varying delay is investigated. By decomposing some connection weight matrices, new Lyapunov-Krasovskii functionals are constructed, and serial new improved stability criteria are derived. These criteria are formulated in the forms of linear matrix inequalities (LMIs). Compared with some previous results, the new results are less conservative. Three numerical examples are provided to demonstrate the less conservatism and effectiveness of the proposed method. Copyright (C) 2009 Zixin Liu et al.
引用
收藏
页数：23
相关论文
共 50 条
  • [31] Improved results on stability and H∞ performance analysis for discrete-time neural networks with time-varying delay
    Chen, Qiao
    Liu, Xinge
    Guo, Peiyu
    Liu, Hua
    Li, Xiayun
    COMPUTATIONAL & APPLIED MATHEMATICS, 2022, 41 (05):
  • [32] Improved delay-dependent stability conditions for discrete-time neural networks with time-varying delays
    Bo, Xiaoting
    Sun, Yanyan
    Duan, Wenyong
    INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL, 2023, 12 (4) : 1034 - 1043
  • [33] Mean square exponential stability for discrete-time stochastic fuzzy neural networks with mixed time-varying delay
    Liu, Di
    Wang, Lijie
    Pan, Yingnan
    Ma, Haoyi
    NEUROCOMPUTING, 2016, 171 : 1622 - 1628
  • [34] Exponential stability and extended dissipativity criteria for generalized discrete-time neural networks with additive time-varying delays
    Shan, Yaonan
    She, Kun
    Zhong, Shouming
    Zhong, Qishui
    Shi, Kaibo
    Zhao, Can
    APPLIED MATHEMATICS AND COMPUTATION, 2018, 333 : 145 - 168
  • [35] Exponential Stability Results of Discrete-Time Stochastic Neural Networks with Time-Varying Delays
    Li, Yajun
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
  • [36] Global exponential stability of impulsive discrete-time neural networks with time-varying delays
    Xu, Honglei
    Chen, Yuanqiang
    Teo, Kok Lay
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (02) : 537 - 544
  • [37] Discrete-time recurrent neural networks with time-varying delays: Exponential stability analysis
    Liu, Yurong
    Wang, Zidong
    Serrano, Alan
    Liu, Xiaohui
    PHYSICS LETTERS A, 2007, 362 (5-6) : 480 - 488
  • [38] New delay-dependent stability results for discrete-time recurrent neural networks with time-varying delay
    Zhu, Xun-Lin
    Wang, Youyi
    Yang, Guang-Hong
    NEUROCOMPUTING, 2009, 72 (13-15) : 3376 - 3383
  • [39] New delay-dependent stability criterion for discrete-time recurrent neural networks with time-varying delay
    Zhu, Xun-Lin
    Shang, Zhanlei
    Yang, Hong-Yong
    CCDC 2009: 21ST CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, PROCEEDINGS, 2009, : 4343 - +
  • [40] Enhanced Stability Criteria for Discrete-time Systems with Time-varying Delay
    Lijuan Zhu
    Chengyun Zhu
    International Journal of Control, Automation and Systems, 2021, 19 : 2385 - 2394
12345