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
  • [41] Improved delay-dependent stability analysis of discrete-time neural networks with time-varying delay
    Jin, Li
    He, Yong
    Wu, Min
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2017, 354 (04): : 1922 - 1936
  • [42] Delay-dependent H∞ filtering for discrete-time singular Markovian jump systems with time-varying delay and partially unknown transition probabilities
    Lin, Jinxing
    Fei, Shumin
    Shen, Jiong
    SIGNAL PROCESSING, 2011, 91 (02) : 277 - 289
  • [43] New delay-dependent stability criteria for recurrent neural networks with time-varying delays
    Ren, Zerong
    Xie, Xiangjun
    APPLIED SCIENCE, MATERIALS SCIENCE AND INFORMATION TECHNOLOGIES IN INDUSTRY, 2014, 513-517 : 922 - 926
  • [44] Delay-Dependent Criteria for Robust Stabilization of Markovian Switching Networks with Time-Varying Delay
    Sathananthan, S.
    Beane, C.
    Keel, L. H.
    STOCHASTIC ANALYSIS AND APPLICATIONS, 2009, 27 (04) : 694 - 712
  • [45] Delay decomposition approach to state estimation of neural networks with mixed time-varying delays and Markovian jumping parameters
    Lakshmanan, S.
    Vembarasan, V.
    Balasubramaniam, P.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2013, 36 (04) : 395 - 412
  • [46] New delay-dependent criterion for the stability of recurrent neural networks with time-varying delay
    ZHANG HuaGuang & WANG ZhanShan School of Information Science and Engineering
    Science China(Information Sciences), 2009, (06) : 942 - 948
  • [47] Robust Delay-Dependent Passivity Analysis for Neural Networks with Interval Time-Varying Delay
    Xiao, Shen-Ping
    Lian, Hong-Hai
    Zeng, Hong-Bing
    Chen, Gang
    Zhang, Xiao-Hu
    2018 IEEE 15TH INTERNATIONAL CONFERENCE ON NETWORKING, SENSING AND CONTROL (ICNSC), 2018,
  • [48] Neuronal State Estimation for Neural Networks With Two Additive Time-Varying Delay Components
    Zhang, Xian-Ming
    Han, Qing-Long
    Wang, Zidong
    Zhang, Bao-Lin
    IEEE TRANSACTIONS ON CYBERNETICS, 2017, 47 (10) : 3184 - 3194
  • [49] New delay-dependent criterion for the stability of recurrent neural networks with time-varying delay
    HuaGuang Zhang
    ZhanShan Wang
    Science in China Series F: Information Sciences, 2009, 52 : 942 - 948
  • [50] New delay-dependent criterion for the stability of recurrent neural networks with time-varying delay
    Zhang HuaGuang
    Wang ZhanShan
    SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES, 2009, 52 (06): : 942 - 948
12345