Finite-Time Stability of Stochastic Cohen-Grossberg Neural Networks with Markovian Jumping Parameters and Distributed Time-Varying Delays

被引：10
|
作者：
Arslan, Emel [1 ]
Ali, M. Syed [2 ]
Saravanan, S. [2 ]
机构：
[1] Istanbul Univ, Dept Comp Engn, Fac Engn, TR-34320 Istanbul, Turkey
[2] Thiruvalluvar Univ, Dept Math, Vellore 632115, Tamil Nadu, India
来源：
NEURAL PROCESSING LETTERS | 2017年 / 46卷 / 01期
关键词：
Finite-time stability; Cohen-Grossberg neural networks; Lyapunov-Krasovskii method; Stochastic; Time-varying delay; EXPONENTIAL STABILITY; STATE ESTIMATION; BOUNDEDNESS; STABILIZATION; SYSTEMS;
D O I：
10.1007/s11063-016-9574-2
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 finite-time stability problem is considered for a class of stochastic Cohen-Grossberg neural networks (CGNNs) with Markovian jumping parameters and distributed time-varying delays. Based on Lyapunov-Krasovskii functional and stability analysis theory, a linear matrix inequality approach is developed to derive sufficient conditions for guaranteeing the stability of the concerned system. It is shown that the addressed stochastic CGNNs with Markovian jumping and distributed time varying delays are finite-time stable. An illustrative example is provided to show the effectiveness of the developed results.
引用
收藏
页码：71 / 81
页数：11
相关论文
共 50 条
  • [1] Finite-Time Stability of Stochastic Cohen–Grossberg Neural Networks with Markovian Jumping Parameters and Distributed Time-Varying Delays
    Emel Arslan
    M. Syed Ali
    S. Saravanan
    Neural Processing Letters, 2017, 46 : 71 - 81
  • [2] Global asymptotic stability of Markovian jumping stochastic Cohen-Grossberg BAM neural networks with discrete and distributed time-varying delays
    Du, Yuanhua
    Zhong, Shouming
    Zhou, Nan
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 243 : 624 - 636
  • [3] Stochastic finite-time stability of reaction-diffusion Cohen-Grossberg neural networks with time-varying delays
    Ali, M. Syed
    Saravanan, S.
    Palanisamy, L.
    CHINESE JOURNAL OF PHYSICS, 2019, 57 : 314 - 328
  • [4] Robust stability of uncertain Markovian jumping Cohen-Grossberg neural networks with mixed time-varying delays
    Sheng, Li
    Yang, Huizhong
    CHAOS SOLITONS & FRACTALS, 2009, 42 (04) : 2120 - 2128
  • [5] Dynamic analysis of Markovian jumping impulsive stochastic Cohen-Grossberg neural networks with discrete interval and distributed time-varying delays
    Rakkiyappan, R.
    Balasubramaniam, P.
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2009, 3 (04) : 408 - 417
  • [6] Finite-time Synchronization of Coupled Cohen-Grossberg Neural Networks with Time-varying Delays
    Qiu, Shui-Han
    Huang, Yan-Li
    Wang, Jin-Liang
    Ren, Shun-Yan
    Liu, Dong-Fang
    PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017), 2017, : 3966 - 3971
  • [7] Stability of Cohen-Grossberg neural networks with time-varying delays
    Huang, Tingwen
    Chan, Andrew
    Huang, Yu
    Cao, Jinde
    NEURAL NETWORKS, 2007, 20 (08) : 868 - 873
  • [8] Stability analysis of Markovian jumping stochastic Cohen-Grossberg neural networks with mixed time delays
    Zhang, Huaguang
    Wang, Yingchun
    IEEE TRANSACTIONS ON NEURAL NETWORKS, 2008, 19 (02): : 366 - 370
  • [9] Global stability of Cohen-Grossberg neural networks with time-varying and distributed delays
    Li T.
    Fei S.
    Zhu Q.
    Journal of Control Theory and Applications, 2008, 6 (4): : 449 - 454
  • [10] Exponential stability of stochastic Cohen-Grossberg neural networks with time-varying delays
    Li, XL
    Cao, JD
    ADVANCES IN NEURAL NETWORKS - ISNN 2005, PT 1, PROCEEDINGS, 2005, 3496 : 162 - 167
12345