New delay-dependent stability criteria for uncertain stochastic neural networks with discrete interval and distributed delays

被引:18
|
作者
Chen, Huabin [1 ]
机构
[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
关键词
Uncertain stochastic neural networks; Lyapunov-Krasovskii functional; Linear matrix inequalities (LMIs); Interval time-varying delay; Distributed delay; SQUARE EXPONENTIAL STABILITY; ROBUST STABILITY; MEAN-SQUARE; GLOBAL STABILITY;
D O I
10.1016/j.neucom.2012.06.010
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 studies the globally robustly asymptotical stability in mean square of uncertain stochastic neural networks with discrete interval and distributed time-varying delays. By constructing an augmented Lyapunov-Krasovskii functional, some delay-dependent criteria for the globally robustly asymptotical stability of such systems are formulated in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are provided to illustrate the effectiveness of the obtained results. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码:1 / 9
页数:9
相关论文
共 50 条
  • [1] Delay-dependent Stability for Uncertain Stochastic Neural Networks with Distributed Delays
    Gao, Ming
    Sheng, Li
    [J]. PROCEEDINGS OF THE 10TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA 2012), 2012, : 1495 - 1500
  • [2] Delay-dependent stability criteria of uncertain Markovian jump neural networks with discrete interval and distributed time-varying delays
    Ali, M. Syed
    Arik, Sabri
    Saravanakurnar, R.
    [J]. NEUROCOMPUTING, 2015, 158 : 167 - 173
  • [3] Delay-dependent robust stability analysis of uncertain stochastic neural networks with discrete interval and distributed time-varying delays
    Balasubramaniam, P.
    Rakkiyappan, R.
    [J]. NEUROCOMPUTING, 2009, 72 (13-15) : 3231 - 3237
  • [4] New Stochastic stability criteria for uncertain neural networks with discrete and distributed delays
    Qiu, Jiqing
    Gao, Zhifeng
    Zhang, Jinhui
    [J]. ADVANCED INTELLIGENT COMPUTING THEORIES AND APPLICATIONS, PROCEEDINGS: WITH ASPECTS OF ARTIFICIAL INTELLIGENCE, 2007, 4682 : 120 - 129
  • [5] Improved delay-dependent robust passivity criteria for uncertain neural networks with discrete and distributed delays
    Chen, Zhiwen
    Wang, Xin
    Zhong, Shouming
    Yang, Jun
    [J]. CHAOS SOLITONS & FRACTALS, 2017, 103 : 23 - 32
  • [6] New Delay-dependent Robust Stability Criteria for Uncertain Stochastic Neural Networks with Time-varying Delays
    Feng Wei
    Zhang Wei
    Wu Haixia
    Huang Song
    [J]. PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 3, 2008, : 62 - +
  • [7] 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
  • [8] DELAY-DEPENDENT STABILITY CONDITION FOR NEURAL NETWORKS WITH DISCRETE AND UNBOUNDED DISTRIBUTED DELAYS
    Zhou, Jianping
    [J]. ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2011, 8 (02): : 83 - 90
  • [9] New Criteria on Delay-Dependent Robust Stability for Uncertain Markovian Stochastic Delayed Neural Networks
    Huabin Chen
    Jinjing Wang
    Liu Wang
    [J]. Neural Processing Letters, 2015, 42 : 275 - 290
  • [10] New Criteria on Delay-Dependent Robust Stability for Uncertain Markovian Stochastic Delayed Neural Networks
    Chen, Huabin
    Wang, Jinjing
    Wang, Liu
    [J]. NEURAL PROCESSING LETTERS, 2015, 42 (02) : 275 - 290