Improved exponential stability criteria for neural networks with time-varying delays

被引：28
|
作者：
Tian, Junkang [1 ]
Zhong, Shouming [1 ,2 ]
Wang, Yong [3 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China
[2] Univ Elect Sci & Technol China, Minist Educ, Key Lab Neuroinformat, Chengdu 611731, Sichuan, Peoples R China
[3] SW Petr Univ, State Key Lab Oil & Gas Reservoir Geol & Exploita, Chengdu 610500, Sichuan, Peoples R China
来源：
NEUROCOMPUTING | 2012年 / 97卷
关键词：
Exponential stability; Neural networks; Time-varying delays; Linear matrix inequality (LMI); GLOBAL ASYMPTOTIC STABILITY; GENERAL ACTIVATION FUNCTIONS; DEPENDENT STABILITY; DISTRIBUTED DELAYS; LMI APPROACH; DISCRETE; INTERVAL;
D O I：
10.1016/j.neucom.2012.05.018
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper concerned the problem of exponential stability criteria for neural networks with discrete and distributed time-varying delays. By dividing the delay interval into multiple segments and choosing a new Lyapunov functional, some improved stability criteria are derived in terms of linear matrix inequalities. The obtained criteria are less conservative due to a convex optimization approach is considered. Finally, two numerical examples are given to illustrate the effectiveness of the proposed method. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码：164 / 173
页数：10
相关论文
共 50 条
  • [21] New stability criteria for neural networks with time-varying delays
    Hua, Changchun
    Yang, Xian
    Yan, Jing
    Guan, Xinping
    APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (09) : 5035 - 5042
  • [22] Criteria for Exponential Stability of Cohen-Grossberg Neural Networks with Multiple Time-Varying Delays
    Wan, Anhua
    Mao, Weihua
    ADVANCED INTELLIGENT COMPUTING THEORIES AND APPLICATIONS, PROCEEDINGS: WITH ASPECTS OF ARTIFICIAL INTELLIGENCE, 2008, 5227 : 19 - +
  • [23] New criteria of global exponential stability for a class of generalized neural networks with time-varying delays
    Wang, Gang
    Zhang, Hua-Guang
    Song, Chong-Hui
    ADVANCES IN NEURAL NETWORKS - ISNN 2006, PT 1, 2006, 3971 : 129 - 134
  • [24] Global Exponential Stability Criteria for Bidirectional Associative Memory Neural Networks with Time-Varying Delays
    Thipcha, J.
    Niamsup, P.
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [25] New criteria of global exponential stability for a class of generalized neural networks with time-varying delays
    Zhang, Huaguang
    Wang, Gang
    NEUROCOMPUTING, 2007, 70 (13-15) : 2486 - 2494
  • [26] Improved stability criteria of neural networks with time-varying delays: An augmented LKF approach
    Li, Tao
    Ye, Xiaoling
    NEUROCOMPUTING, 2010, 73 (4-6) : 1038 - 1047
  • [27] Novel criteria for global exponential periodicity and stability of recurrent neural networks with time-varying delays
    Song, Qiankun
    CHAOS SOLITONS & FRACTALS, 2008, 36 (03) : 720 - 728
  • [28] Novel Exponential Stability Criteria of High-Order Neural Networks With Time-Varying Delays
    Zheng, Cheng-De
    Zhang, Huaguang
    Wang, Zhanshan
    IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2011, 41 (02): : 486 - 496
  • [29] Improved exponential stability criteria for discrete-time neural networks with time-varying delay
    Liu, Zixin
    Lue, Shu
    Zhong, Shouming
    Ye, Mao
    NEUROCOMPUTING, 2010, 73 (4-6) : 975 - 985
  • [30] Improved delay-dependent exponential stability criteria for discrete-time recurrent neural networks with time-varying delays
    Zhang, Baoyong
    Xu, Shengyuan
    Zou, Yun
    NEUROCOMPUTING, 2008, 72 (1-3) : 321 - 330
12345