Exponential Stability of Delayed Reaction-Diffusion Neural Networks with Markovian Jumping Parameters Based on State Estimation

被引：0
|
作者：
Liu Yan [1 ]
Sun Duoqing
Ma Huiquan
机构：
[1] Hebei Normal Univ Sci & Technol, Inst Math & Syst Sci, Qinhuangdao 066004, Peoples R China
来源：
PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE | 2012年
关键词：
Neural Networks; Stochastic Exponential Stability; Markovian Jumping Parameter; Reaction-Diffusion; GLOBAL ASYMPTOTIC STABILITY; NONLINEAR-SYSTEMS; DYNAMICS;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper deals with the exponential stability problem for a class of delayed reaction-diffusion neural networks with Markovian jumping parameters. Based on the state estimation of jump parameters, a suitable stochastic Lyapunov-Krasovskii functional is employed to develop a sufficient condition for the exponential stability in terms of linear matrix inequalities (LMIs). A numerical example is provided to show the effectiveness of the proposed approach.
引用
收藏
页码：3267 / 3272
页数：6
相关论文
共 50 条
  • [11] Adaptive estimation for delayed neural networks with Markovian jumping parameters
    Tong, Dongbing
    Zhou, Wuneng
    Wang, Han
    Zhou, Jun
    Zhou, Xianghui
    Xu, Yuhua
    OPTIK, 2015, 126 (21): : 2960 - 2964
  • [12] The exponential stability of high-order delayed BAM neural networks with Markovian jumping parameters
    Wang, Yangling
    PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016, 2016, : 3566 - 3572
  • [13] Global asymptotic stability of stochastic reaction-diffusion recurrent neural networks with Markovian jumping parameters and mixed delays
    Vidhya, C.
    Dharani, S.
    Balasubramaniam, P.
    JOURNAL OF ANALYSIS, 2019, 27 (01): : 277 - 292
  • [14] Global asymptotic stability of stochastic reaction-diffusion recurrent neural networks with Markovian jumping parameters and mixed delays
    C. Vidhya
    S. Dharani
    P. Balasubramaniam
    The Journal of Analysis, 2019, 27 : 277 - 292
  • [15] Sampled-data state estimation for delayed neural networks with Markovian jumping parameters
    Jiawen Hu
    Nan Li
    Xiaohui Liu
    Gongxuan Zhang
    Nonlinear Dynamics, 2013, 73 : 275 - 284
  • [16] Sampled-data state estimation for delayed neural networks with Markovian jumping parameters
    Hu, Jiawen
    Li, Nan
    Liu, Xiaohui
    Zhang, Gongxuan
    NONLINEAR DYNAMICS, 2013, 73 (1-2) : 275 - 284
  • [17] Protocol-based state estimation for delayed Markovian jumping neural networks
    Li, Jiahui
    Dong, Hongli
    Wang, Zidong
    Zhang, Weidong
    NEURAL NETWORKS, 2018, 108 : 355 - 364
  • [18] Stability for delayed reaction-diffusion neural networks
    Allegretto, W.
    Papini, D.
    PHYSICS LETTERS A, 2007, 360 (06) : 669 - 680
  • [19] Delay-Dependent Robust Exponential Stability of Impulsive Markovian Jumping Reaction-Diffusion Cohen-Grossberg Neural Networks
    Kao, Yonggui
    Wang, Changhong
    Zhang, Lin
    NEURAL PROCESSING LETTERS, 2013, 38 (03) : 321 - 346
  • [20] Delay-Dependent Robust Exponential Stability of Impulsive Markovian Jumping Reaction-Diffusion Cohen-Grossberg Neural Networks
    Yonggui Kao
    Changhong Wang
    Lin Zhang
    Neural Processing Letters, 2013, 38 : 321 - 346
12345