Exponential stability criterion for interval neural networks with discrete and distributed delays

被引：25
|
作者：
Chen, Hao [1 ,2 ]
Zhong, Shouming [1 ]
Shao, Jinliang [1 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China
[2] Huaibei Normal Univ, Sch Math Sci, Huaibei 235000, Anhui, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 250卷
关键词：
Neural networks; Lyapunov functional; Distributed delay; Exponential stability; M-matrix theory; TIME-VARYING DELAYS; GLOBAL ROBUST STABILITY; SLIDING MODE CONTROLLER; MARKOV JUMP SYSTEMS; DEPENDENT STABILITY; INFINITY CONTROL; BOUNDEDNESS; DESIGN;
D O I：
10.1016/j.amc.2014.10.089
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates the global exponential stability of neural networks with discrete and distributed delays. A new criterion for the exponential stability of neural networks with mixed delays is derived by using the Lyapunov stability theory, Homomorphic mapping theory and matrix theory. The obtained result is easier to be verified than those previously reported stability results. Finally, some illustrative numerical examples are given to show the effectiveness of the proposed result. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：121 / 130
页数：10
相关论文
共 50 条
  • [1] Exponential Stability on Stochastic Neural Networks With Discrete Interval and Distributed Delays
    Yang, Rongni
    Zhang, Zexu
    Shi, Peng
    IEEE TRANSACTIONS ON NEURAL NETWORKS, 2010, 21 (01): : 169 - 175
  • [2] A New Globally Exponential Stability Criterion for Neural Networks with Discrete and Distributed Delays
    Chen, Hao
    Zhong, Shouming
    Yang, Jinxiang
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
  • [3] On global stability criterion for neural networks with discrete and distributed delays
    Park, Ju H.
    CHAOS SOLITONS & FRACTALS, 2006, 30 (04) : 897 - 902
  • [4] Switched Exponential State Estimation and Robust Stability for Interval Neural Networks with Discrete and Distributed Time Delays
    Xu, Hongwen
    Wu, Huaiqin
    Li, Ning
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [5] Global exponential estimates of stochastic interval neural networks with discrete and distributed delays
    Shu, Zhan
    Lam, James
    NEUROCOMPUTING, 2008, 71 (13-15) : 2950 - 2963
  • [6] Robust Stability of Stochastic Neural Networks with Interval Discrete and Distributed Delays
    Zhu, Song
    Shen, Yi
    Chen, Guici
    NEURAL INFORMATION PROCESSING, PT 1, PROCEEDINGS, 2009, 5863 : 259 - 266
  • [7] A global exponential robust stability criterion for interval delayed neural networks with variable delays
    Li, CD
    Liao, XF
    Zhang, R
    NEUROCOMPUTING, 2006, 69 (7-9) : 803 - 809
  • [8] Exponential stability of the neural networks with time-varying discrete and distributed delays
    Li, Qingbo
    Wang, Shujuan
    Wu, Yuanyuan
    2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5, 2010, : 2453 - +
  • [9] Global exponential stability of generalized recurrent neural networks with discrete and distributed delays
    Liu, Yurong
    Wang, Zidong
    Liu, Xiaohui
    NEURAL NETWORKS, 2006, 19 (05) : 667 - 675
  • [10] Exponential Stability of the Neural Networks with Discrete and Distributed Time-Varying Delays
    Li, Qingbo
    Xing, Peixu
    Wu, Yuanyuan
    ADVANCES IN NEURAL NETWORKS - ISNN 2010, PT 1, PROCEEDINGS, 2010, 6063 : 569 - +
12345