Stochastic Stabilization for Nonhomogeneous Markovian Jump Discrete-Time Singular Systems

被引:0
|
作者
陈利雄 [1 ]
崔文霞 [1 ]
刘昱昊 [1 ]
机构
[1] School of Mathematics Physics and Statistics,Shanghai University of Engineering Science
基金
中国国家自然科学基金;
关键词
stochastic stability; nonhomogeneous; Lyapunov function; singular system; Markovian switching;
D O I
10.19884/j.1672-5220.2018.06.009
中图分类号
TP13 [自动控制理论];
学科分类号
摘要
Stochastic stability analysis and control synthesis problems are studied for a class of nonhomogeneous Markovian jump discretetime singular systems( MJDSS). The time-varying character is considered to be the model in a polytopic sense. Based on the parameter dependent stochastic Lyapunov functional and the matrix analysis techniques, sufficient criteria are derived to ensure regularity, causality and stochastic stability of the closed-loop singular system in terms of linear matrix inequalities. Finally,one example is provided to illustrate the effectiveness of our results.
引用
收藏
页码:486 / 490
页数:5
相关论文
共 50 条
  • [21] Novel Criteria of Stochastic Stability for Discrete-Time Markovian Jump Singular Systems via Supermartingale Approach
    Han, Yingying
    Zhou, Shaosheng
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 67 (12) : 6940 - 6947
  • [22] On the Problems of Robust Stability and Stabilization for Uncertain Discrete-time Singular Markovian Jump System
    Ran Huajun
    Zhang Tao
    2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 2257 - 2260
  • [23] Stochastic Stability and Stabilization of Discrete-Time Markovian Jump Systems in the Presence of Incomplete Knowledge of Transition Probabilities
    Wang Yijing
    Sun Yunna
    Zuo Zhiqiang
    2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 1395 - 1399
  • [24] Stabilization control of a class of discrete-time Markov jump singular systems
    Sheng, Li
    Yang, Hui-Zhong
    Kongzhi yu Juece/Control and Decision, 2010, 25 (08): : 1189 - 1194
  • [25] Asynchronous Control for Discrete-Time Singular Markovian Jump Systems With Actuator Saturation
    Zhang, Qian
    Yan, Huaicheng
    Tian, Yongxiao
    Qi, Ping
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2024, 71 (08) : 3890 - 3894
  • [26] Discrete-time Markovian jump linear systems
    Szajowski, K
    de Koning, WL
    CONTROL AND CYBERNETICS, 1998, 27 (01): : 63 - 80
  • [27] STABILIZATION OF DISCRETE-TIME MARKOVIAN JUMP SYSTEMS WITH PARTIALLY UNKNOWN TRANSITION PROBABILITIES
    Zhang, Qingling
    Wang, Guoliang
    Liu, Wanquan
    Zhang, Yi
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2011, 16 (04): : 1197 - 1211
  • [28] Robust stability and stabilization of uncertain discrete-time Markovian jump linear systems
    de Souza, Carlos E.
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (05) : 836 - 841
  • [29] Stochastic stability for discrete-time singular systems with Markov jump parameters
    Manfrim, A. L. P.
    Terra, M. H.
    Costa, E. F.
    Ishihara, J. Y.
    2008 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 2008, : 1650 - +
  • [30] Stochastic Optimal Tracking with Preview for Linear Discrete-Time Markovian Jump Systems
    Nakura, Gou
    HYBRID SYSTEMS: COMPUTATION AND CONTROL, 2009, 5469 : 455 - 459