EXPONENTIAL STABILITY FOR STOCHASTIC NEURAL NETWORKS OF NEUTRAL TYPE WITH IMPULSIVE EFFECTS

被引：41
作者：
Sakthivel, Rathinasamy [1 ]
Samidurai, R. [2 ]
Anthoni, S. Marshal [3 ]
机构：
[1] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea
[2] Periyar Univ, Dept Math, Salem 636011, India
[3] Anna Univ Coimbatore, Dept Math, Coimbatore 641047, Tamil Nadu, India
来源：
MODERN PHYSICS LETTERS B | 2010年 / 24卷 / 11期
关键词：
Stochastic neutral neural networks; impulsive effects; global exponential stability; linear matrix inequality; TIME-VARYING DELAYS; GLOBAL ASYMPTOTIC STABILITY; DISTRIBUTED DELAYS; ROBUST STABILITY; DISCRETE; CRITERIA;
D O I：
10.1142/S0217984910023141
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
This paper is concerned with the exponential stability of stochastic neural networks of neutral type with impulsive effects. By employing the Lyapunov functional and stochastic analysis, a new stability criterion for the stochastic neural network is derived in terms of linear matrix inequality. A numerical example is provided to show the effectiveness and applicability of the obtained result.
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收藏
页码：1099 / 1110
页数：12
相关论文
共 32 条
  • [1] Stability of stochastic delay neural networks
    Blythe, S
    Mao, XR
    Liao, XX
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2001, 338 (04): : 481 - 495
  • [2] ABSOLUTE STABILITY OF GLOBAL PATTERN-FORMATION AND PARALLEL MEMORY STORAGE BY COMPETITIVE NEURAL NETWORKS
    COHEN, MA
    GROSSBERG, S
    [J]. IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1983, 13 (05): : 815 - 826
  • [3] Dynamics analysis of impulsive stochastic Cohen-Grossberg neural networks with Markovian jumping and mixed time delays
    Dong, Meng
    Zhang, Huaguang
    Wang, Yingchun
    [J]. NEUROCOMPUTING, 2009, 72 (7-9) : 1999 - 2004
  • [4] Mean square global asymptotic stability of stochastic recurrent neural networks with distributed delays
    Guo, Yingxin
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (02) : 791 - 795
  • [5] Exponential stability analysis for uncertain neural networks with interval time-varying delays
    Kwon, O. M.
    Park, Ju H.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 212 (02) : 530 - 541
  • [6] Lakshmikantham V., 1989, World scientific, V6
  • [7] Delay-dependent exponential stability analysis of delayed neural networks: an LMI approach
    Liao, XF
    Chen, GR
    Sanchez, EN
    [J]. NEURAL NETWORKS, 2002, 15 (07) : 855 - 866
  • [8] Global stability for neural networks of neutral-type with interval time-varying delays
    Park, Ju H.
    Kwon, O. M.
    [J]. CHAOS SOLITONS & FRACTALS, 2009, 41 (03) : 1174 - 1181
  • [9] Further results on state estimation for neural networks of neutral-type with time-varying delay
    Park, Ju H.
    Kwon, O. M.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 208 (01) : 69 - 75
  • [10] ANALYSIS ON GLOBAL STABILITY OF STOCHASTIC NEURAL NETWORKS OF NEUTRAL TYPE
    Park, Ju H.
    Kwon, O. M.
    [J]. MODERN PHYSICS LETTERS B, 2008, 22 (32): : 3159 - 3170
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