DELAY-DEPENDENT STATE ESTIMATION FOR DISCRETE MARKOVIAN JUMP NEURAL NETWORKS WITH TIME-VARYING DELAY

被引：8
|
作者：
Wu, Zhengguang [1 ]
Shi, Peng [2 ,3 ]
Su, Hongye [1 ]
Chu, Jian [1 ]
机构：
[1] Zhejiang Univ, Natl Lab Ind Control Technol, Inst Cyber Syst & Control, Hangzhou 310027, Zhejiang, Peoples R China
[2] Univ Glamorgan, Dept Comp & Math Sci, Pontypridd CF37 1DL, M Glam, Wales
[3] Victoria Univ, Sch Sci & Engn, Melbourne, Vic 8001, Australia
来源：
ASIAN JOURNAL OF CONTROL | 2011年 / 13卷 / 06期
基金：
国家高技术研究发展计划(863计划); 中国国家自然科学基金; 英国工程与自然科学研究理事会;
关键词：
Neural networks; time-varying delays; state estimation; Markovian jumping parameters; linear matrix inequality (LMI); STOCHASTIC EXPONENTIAL STABILITY; GLOBAL ASYMPTOTIC STABILITY; H-INFINITY CONTROL; ROBUST STABILIZATION; LINEAR-SYSTEMS; CRITERIA;
D O I：
10.1002/asjc.219
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The state estimation problem is discussed for discrete Markovian jump neural networks with time-varying delays in terms of linear matrix inequality (LMI) approach. The considered transition probabilities are assumed to be time-variant and partially unknown. The aim of the state estimation problem is to design a state estimator to estimate the neuron states and ensure the stochastic stability of the error-state system. A delay-dependent sufficient condition for the existence of the desired state estimator is proposed. An explicit expression of the desired estimator is also given. A numerical example is introduced to show the effectiveness of the given result.
引用
收藏
页码：914 / 924
页数：11
相关论文
共 50 条
  • [1] State estimation for discrete Markovian jumping neural networks with time delay
    Wu, Zhengguang
    Su, Hongye
    Chu, Jian
    NEUROCOMPUTING, 2010, 73 (10-12) : 2247 - 2254
  • [2] Delay-dependent state estimation for neural networks with time-varying delay
    Yu, Hui-Jun
    He, Yong
    Wu, Min
    NEUROCOMPUTING, 2018, 275 : 881 - 887
  • [3] 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.
    NEUROCOMPUTING, 2015, 158 : 167 - 173
  • [4] Delay-dependent stability analysis for discrete-time singular Markovian jump systems with time-varying delay
    Wu, Zheng-Guang
    Shi, Peng
    Su, Hongye
    Chu, Jian
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2012, 43 (11) : 2095 - 2106
  • [5] DELAY-DEPENDENT STATE ESTIMATION FOR TIME-VARYING DELAYED NEURAL NETWORKS
    Zhang, Yuejin
    Zhou, Shaosheng
    Xue, Anke
    Zheng, We Xing
    INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2009, 5 (06): : 1711 - 1723
  • [6] State estimation of recurrent neural networks with interval time-varying delay: an improved delay-dependent approach
    Yang Dongsheng
    Liu, Xinrui
    Xu, Yukun
    Wang, Yingchun
    Liu, Zhaobing
    NEURAL COMPUTING & APPLICATIONS, 2013, 23 (3-4) : 1149 - 1158
  • [7] State estimation for discrete-time neural networks with time-varying delay
    Wu, Zhengguang
    Shi, Peng
    Su, Hongye
    Chu, Jian
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2012, 43 (04) : 647 - 655
  • [8] New delay-dependent stability results for discrete-time recurrent neural networks with time-varying delay
    Zhu, Xun-Lin
    Wang, Youyi
    Yang, Guang-Hong
    NEUROCOMPUTING, 2009, 72 (13-15) : 3376 - 3383
  • [9] Delay-Dependent Stability Analysis for Switched Neural Networks With Time-Varying Delay
    Wu, Zheng-Guang
    Shi, Peng
    Su, Hongye
    Chu, Jian
    IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2011, 41 (06): : 1522 - 1530
  • [10] Delay-dependent robust control for singular discrete-time Markovian jump systems with time-varying delay
    Zhou, Wuneng
    Lu, Hongqian
    Duan, Chunmei
    Li, Minghao
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2010, 20 (10) : 1112 - 1128
12345