Finite-time boundedness of uncertain time-delayed neural network with Markovian jumping parameters

被引:66
作者
He, Shuping [1 ]
Liu, Fei [2 ]
机构
[1] Anhui Univ, Coll Elect Engn & Automat, Hefei 230601, Peoples R China
[2] Jiangnan Univ, Inst Automat, Minist Educ, Key Lab Adv Proc Control Light Ind, Wuxi 214122, Peoples R China
基金
中国国家自然科学基金;
关键词
Markovian jumping neural networks (MJNNs); Finite-time boundedness (FTB); Time delay; Uncertainties; Linear matrix inequalities; DEPENDENT EXPONENTIAL STABILITY; H-INFINITY; ROBUST STABILITY; STABILIZATION; DISCRETE; SYSTEMS;
D O I
10.1016/j.neucom.2012.09.005
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The stochastic finite-time boundedness (FTB) problem is considered for a class of Markovian jumping neural networks (MJNNs) with time delay and uncertainties. By selecting the appropriate stochastic Lyapunov-Krasovskii functional, sufficient conditions of stochastic FTB of MJNNs are presented and proved. The FTB criteria are formulated in the form of linear matrix inequalities. Simulation results illustrate the effectiveness of the developed approaches. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码:87 / 92
页数:6
相关论文
共 29 条
  • [21] FINITE TIME STABILITY UNDER PERTURBING FORCES AND ON PRODUCT SPACES
    WEISS, L
    INFANTE, EF
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1967, AC12 (01) : 54 - &
  • [22] Delay-dependent exponential stability analysis for discrete-time switched neural networks with time-varying delay
    Wu, Zheng-Guang
    Shi, Peng
    Su, Hongye
    Chu, Jian
    [J]. NEUROCOMPUTING, 2011, 74 (10) : 1626 - 1631
  • [23] Finite-time analysis and H∞ for switched stochastic systems
    Xiang, Zhengrong
    Qiao, Changhui
    Mahmoud, Magdi S.
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2012, 349 (03): : 915 - 927
  • [24] Delay-dependent exponential stability for a class of neural networks with time delays
    Xu, SY
    Lam, J
    Ho, DWC
    Zou, Y
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 183 (01) : 16 - 28
  • [25] Global robust exponential stability analysis for interval recurrent neural networks
    Xu, SY
    Lam, J
    Ho, DWC
    Zou, Y
    [J]. PHYSICS LETTERS A, 2004, 325 (02) : 124 - 133
  • [26] Novel robust stability criteria for uncertain stochastic Hopfield neural networks with time-varying delays
    Zhang, Jinhui
    Shi, Peng
    Qiu, Jiqing
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2007, 8 (04) : 1349 - 1357
  • [27] Finite-time stabilization by state feedback control for a class of time-varying nonlinear systems
    Zhang, Xianfu
    Feng, Gang
    Sun, Yonghui
    [J]. AUTOMATICA, 2012, 48 (03) : 499 - 504
  • [28] Robust finite-time stabilization of uncertain singular Markovian jump systems
    Zhang, Yingqi
    Liu, Caixia
    Mu, Xiaowu
    [J]. APPLIED MATHEMATICAL MODELLING, 2012, 36 (10) : 5109 - 5121
  • [29] Finite-time robust stochastic stability of uncertain stochastic delayed reaction-diffusion genetic regulatory networks
    Zhou, Jianping
    Xu, Shengyuan
    Shen, Hao
    [J]. NEUROCOMPUTING, 2011, 74 (17) : 2790 - 2796