The Stability and Stabilization of Markov Jump Linear Systems with Regime Cluster

被引:0
|
作者
Zhou Jian [1 ]
Kang Yu [1 ,2 ,3 ]
Zhu Jin [1 ]
机构
[1] Univ Sci & Technol China, Dept Automat, Hefei, Peoples R China
[2] Univ Sci & Technol China, Dept Automat, State Key Lab Fire Sci, Hefei, Peoples R China
[3] Chinese Acad Sci, Key Lab Technol GeoSpatial Informat Proc & Applic, Beijing, Peoples R China
关键词
Markov jump linear systems; regime cluster; stochastic stability; PROBABILITIES;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper is concerned with the stability and stabilization analysis for another usual class of Markov jump linear systems(MJLSs). In this paper, some of the system's regimes are difficult or unable to classify accurately, and this problem can be solved via recombined the probability space of the system. As a result, the necessary and sufficient conditions for stochastic stability of the system are showed below. Finally, numerical example is provided to show the validity of the method. There are also some expectation about the application of the method used in this paper in the end.
引用
收藏
页码:1663 / 1667
页数:5
相关论文
共 50 条
  • [1] Stability and stabilization for Markov jump linear systems in polyhedral cones
    Chen, Ying
    Bolzern, Paolo
    Colaneri, Patrizio
    Bo, Yuming
    Du, Baozhu
    [J]. 2018 IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2018, : 4779 - 4784
  • [2] Stochastic stability and robust stabilization of semi-Markov jump linear systems
    Huang, Ji
    Shi, Yang
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2013, 23 (18) : 2028 - 2043
  • [3] On the Robust Stability, Stabilization, and Stability Radii of Continuous-time Markov Jump Linear Systems
    Todorov, Marcos G.
    Fragoso, Marcelo D.
    [J]. PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 3864 - 3869
  • [4] Stabilization of Markov Jump Linear Systems with Input Quantization
    Mingming Ji
    Zhijun Li
    Bo Yang
    Weidong Zhang
    [J]. Circuits, Systems, and Signal Processing, 2015, 34 : 2109 - 2126
  • [5] Stabilization of Markov Jump Linear Systems with Input Quantization
    Ji, Mingming
    Li, Zhijun
    Yang, Bo
    Zhang, Weidong
    [J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2015, 34 (07) : 2109 - 2126
  • [6] Stochastic stability and stabilization of a class of piecewisehomogeneous Markov jump linear systems with mixed uncertainties
    Faraji-Niri, Mona
    Jahed-Motlagh, Mohammad-Reza
    Barkhordari-Yazdi, Mojtaba
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2017, 27 (06) : 894 - 914
  • [7] Stochastic stability and stabilization of positive Markov jump linear impulsive systems with time delay
    Zhao, Ping
    Kang, Yu
    Niu, Ben
    Wang, Xinjun
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2022, 16 (17): : 1731 - 1738
  • [8] ON THE ROBUST STABILITY, STABILIZATION, AND STABILITY RADII OF CONTINUOUS-TIME INFINITE MARKOV JUMP LINEAR SYSTEMS
    Todorov, Marcos G.
    Fragoso, Marcelo D.
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2011, 49 (03) : 1171 - 1196
  • [9] Learning-based stabilization of Markov jump linear systems
    Liu, Jason J. R.
    Ogura, Masaki
    Li, Qiyu
    Lam, James
    [J]. NEUROCOMPUTING, 2024, 586
  • [10] Stochastic Stability and Stabilization of Semi-Markov Jump Linear Systems with Uncertain Transition Rates
    Faraji-Niri, Mona
    Jahed-Motlagh, Mohammad-Reza
    [J]. INFORMATION TECHNOLOGY AND CONTROL, 2017, 46 (01): : 37 - 52