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
  • [21] Delay-dependent H∞ control for singular Markovian jump systems with time delay
    Wu, Zhengguang
    Su, Hongye
    Chu, Jian
    OPTIMAL CONTROL APPLICATIONS & METHODS, 2009, 30 (05) : 443 - 461
  • [22] Delay-dependent robust exponential state estimation of Markovian jumping fuzzy Hopfield neural networks with mixed random time-varying delays
    Balasubramaniam, P.
    Vembarasan, V.
    Rakkiyappan, R.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (04) : 2109 - 2129
  • [23] Reachable set estimation for Markovian jump neural networks with time-varying delay
    Lin, Wen-Juan
    He, Yong
    Wu, Min
    Liu, Qingping
    NEURAL NETWORKS, 2018, 108 : 527 - 532
  • [24] New delay-dependent exponential stability criteria for neural networks with discrete and distributed time-varying delays
    Tian, Junkang
    Zhong, Shouming
    NEUROCOMPUTING, 2011, 74 (17) : 3365 - 3375
  • [25] Improved delay-dependent stability criterion for neural networks with time-varying delays
    Kwon, O. M.
    Park, Ju H.
    PHYSICS LETTERS A, 2009, 373 (05) : 529 - 535
  • [26] Delay-partitioning-based reachable set estimation of Markovian jump neural networks with time-varying delay
    Jiang, Xiangli
    Xia, Guihua
    Feng, Zhiguang
    Zheng, Wei Xing
    Jiang, Zhengyi
    NEUROCOMPUTING, 2020, 412 : 360 - 371
  • [27] New delay-dependent stability criteria for neural networks with time-varying interval delay
    Chen, Jie
    Sun, Jian
    Liu, G. P.
    Rees, D.
    PHYSICS LETTERS A, 2010, 374 (43) : 4397 - 4405
  • [28] Delay-dependent exponential stability of delayed neural networks with time-varying delay
    He, Yong
    Wu, Min
    She, Jin-Hua
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2006, 53 (07) : 553 - 557
  • [29] A delay decomposition approach to delay-dependent passivity analysis for interval neural networks with time-varying delay
    Balasubramaniam, P.
    Nagamani, G.
    NEUROCOMPUTING, 2011, 74 (10) : 1646 - 1653
  • [30] Novel delay-dependent stability criteria of neural networks with time-varying delay
    Chen, Yonggang
    Wu, Yuanyuan
    NEUROCOMPUTING, 2009, 72 (4-6) : 1065 - 1070
12345