New criteria on delay-dependent stability for discrete-time neural networks with time-varying delays

被引：70
|
作者：
Kwon, O. M. [1 ]
Park, M. J. [1 ]
Park, Ju H. [2 ]
Lee, S. M. [3 ]
Cha, E. J. [4 ]
机构：
[1] Chungbuk Natl Univ, Sch Elect Engn, Cheongju 361763, South Korea
[2] Yeungnam Univ, Dept Elect Engn, Kyongsan 712749, South Korea
[3] Daegu Univ, Sch Elect Engn, Gyongsan 712714, South Korea
[4] Chungbuk Natl Univ, Dept Biomed Engn, Sch Med, Cheongju 361763, South Korea
来源：
NEUROCOMPUTING | 2013年 / 121卷
基金：
新加坡国家研究基金会;
关键词：
Discrete-time neural networks; Time-varying delay; Stability; Lyapunov method; EXPONENTIAL STABILITY; ROBUST STABILITY; SYSTEMS; STABILIZATION; ARRAYS;
D O I：
10.1016/j.neucom.2013.04.026
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, the problem of delay-dependent stability for discrete-time neural networks with time-varying delays is investigated. By constructing a newly augmented Lyapunov-Krasovskii functional, a sufficient condition for guaranteeing the asymptotic stability of the concerned network is derived in the framework of linear matrix inequalities. Also, a further improved stability condition is developed by proposing a new activation condition which has not been considered in the literature. Two numerical examples are given to illustrate the effectiveness of the proposed methods. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：185 / 194
页数：10
相关论文
共 50 条
  • [1] Improved delay-dependent stability criteria for discrete-time stochastic neural networks with time-varying delays
    Luo, Meng-zhuo
    Zhong, Shou-ming
    [J]. CEIS 2011, 2011, 15
  • [2] Improved Criteria on Delay-Dependent Stability for Discrete-Time Neural Networks with Interval Time-Varying Delays
    Kwon, O. M.
    Park, M. J.
    Park, Ju H.
    Lee, S. M.
    Cha, E. J.
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [3] Novel Delay-Dependent Stability Criteria for Discrete-Time Neural Networks with Time-Varying Delay
    Stojanovic, Sreten
    Stojanovic, Milan
    Stevanovic, Milos
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2018, 2018
  • [4] Improved delay-dependent exponential stability criteria for discrete-time recurrent neural networks with time-varying delays
    Zhang, Baoyong
    Xu, Shengyuan
    Zou, Yun
    [J]. NEUROCOMPUTING, 2008, 72 (1-3) : 321 - 330
  • [5] Improved delay-dependent stability conditions for discrete-time neural networks with time-varying delays
    Xiaoting Bo
    Yanyan Sun
    Wenyong Duan
    [J]. International Journal of Dynamics and Control, 2024, 12 : 1034 - 1043
  • [6] Improved delay-dependent stability conditions for discrete-time neural networks with time-varying delays
    Bo, Xiaoting
    Sun, Yanyan
    Duan, Wenyong
    [J]. INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL, 2023, 12 (4) : 1034 - 1043
  • [7] Delay-Dependent Exponential Stability for Discrete-Time BAM Neural Networks with Time-Varying Delays
    Chen, Yonggang
    Bi, Weiping
    Wu, Yuanyuan
    [J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2008, 2008
  • [8] Improved Delay-Dependent Stability Criteria for Discrete-Time Systems with Time-Varying Delays
    O. M. Kwon
    M. J. Park
    Ju H. Park
    S. M. Lee
    E. J. Cha
    [J]. Circuits, Systems, and Signal Processing, 2013, 32 : 1949 - 1962
  • [9] Improved Delay-Dependent Stability Criteria for Discrete-Time Systems with Time-Varying Delays
    Kwon, O. M.
    Park, M. J.
    Park, Ju H.
    Lee, S. M.
    Cha, E. J.
    [J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2013, 32 (04) : 1949 - 1962
  • [10] New delay-dependent exponential stability criteria for neural networks with discrete and distributed time-varying delays
    Tian, Junkang
    Zhong, Shouming
    [J]. NEUROCOMPUTING, 2011, 74 (17) : 3365 - 3375
12345