H∞ Filtering for Markovian Switching System with Mode-Dependent Time-Varying Delays

被引:0
|
作者
P. Balasubramaniam
V. M. Revathi
机构
[1] Gandhigram Rural Institute—Deemed University,Department of Mathematics
关键词
Markovian switching; Stochastic stability; filtering; Discrete delay; Mode-dependent delay; Linear matrix inequality (LMI);
D O I
暂无
中图分类号
学科分类号
摘要
This paper deals with the problem of H∞ filtering for Markovian switching systems. The system under consideration involves discrete and mode-dependent time-varying delays. The aim of this paper is to design a filter such that the filtering error system is stochastically stable with a prescribed H∞ disturbance attenuation level. Sufficient conditions for the existence of H∞ filters are expressed in terms of linear matrix inequalities (LMIs), which can be solved by using Matlab LMI control toolbox. Numerical examples are given by including a transmission control protocol (TCP) network model to illustrate the practical importance and effectiveness of the proposed main results.
引用
收藏
页码:347 / 369
页数:22
相关论文
共 50 条
  • [1] H∞ Filtering for Markovian Switching System with Mode-Dependent Time-Varying Delays
    Balasubramaniam, P.
    Revathi, V. M.
    [J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2014, 33 (02) : 347 - 369
  • [2] Mode-Dependent Filtering for Stochastic Markovian Switching Genetic Regulatory Networks with Leakage and Time-Varying Delays
    Revathi, V. M.
    Balasubramaniam, P.
    Ratnavelu, K.
    [J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2014, 33 (11) : 3349 - 3388
  • [3] L2-L∞ Filtering for neutral Markovian switching system with mode-dependent time-varying delays and partially unknown transition probabilities
    Balasubramaniam, P.
    Revathi, V. M.
    Park, Ju H.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (17) : 9524 - 9542
  • [4] NEW RESULTS ON STABILITY OF STOCHASTIC NEURAL NETWORKS WITH MARKOVIAN SWITCHING AND MODE-DEPENDENT TIME-VARYING DELAYS
    Li, Peijuan
    Wang, Yueying
    Zhou, Pingfang
    Wang, Quanbao
    Duan, Dengping
    [J]. NEURAL NETWORK WORLD, 2014, 24 (01) : 103 - 116
  • [5] H∞ Filter Design For Markovian Jump Linear Systems with Mode-dependent Time-Varying Delays
    Zhang Xianming
    Xiao Shenping
    He Yong
    [J]. PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 2, 2008, : 95 - +
  • [6] Exponential H∞ Filtering for Singular Markovian Jump Systems With Mixed Mode-Dependent Time-Varying Delay
    Wang, Yueying
    Shi, Peng
    Wang, Quanbao
    Duan, Dengping
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2013, 60 (09) : 2440 - 2452
  • [7] Delay-dependent H∞ filtering for stochastic systems with Markovian switching and mixed mode-dependent delays
    Shen, Hao
    Xu, Shengyuan
    Song, Xiaona
    Chu, Yuming
    [J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2010, 4 (01) : 122 - 133
  • [8] Fault Detection Filtering for A Kind of Nonlinear Markovian Jump Systems With Mode-Dependent Time-Varying Delays and Parameter Uncertainties
    Zhuang Guangming
    Zhang Huasheng
    Zhao Junsheng
    Xia Jianwei
    [J]. 2015 34TH CHINESE CONTROL CONFERENCE (CCC), 2015, : 2871 - 2876
  • [9] Mode-dependent H∞ Filtering for Time-varying Delays Neutral Jump Systems Based on FWM Technique
    Zhao, Guowei
    Zhuang, Guangming
    Xia, Jianwei
    Sun, Wei
    Zhao, Junsheng
    Zhang, Minsong
    [J]. INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2021, 19 (06) : 2092 - 2104
  • [10] Asynchronous H∞ Filtering for Singular Markov Jump Neural Networks with Mode-Dependent Time-Varying Delays
    Yin, Yuexia
    Zhuang, Guangming
    Xia, Jianwei
    Chen, Guoliang
    [J]. NEURAL PROCESSING LETTERS, 2022, 54 (06) : 5439 - 5456