Stochastic stability of jump linear systems

被引:144
|
作者
Fang, YG [1 ]
Loparo, KA
机构
[1] Univ Florida, Dept Elect & Comp Engn, Gainesville, FL 32611 USA
[2] Case Western Reserve Univ, Dept Elect Engn & Comp Sci, Cleveland, OH 44106 USA
关键词
jump linear systems; Kronecker product; Lyapunov equation; mean square stability; stability; stochastic systems;
D O I
10.1109/TAC.2002.800674
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this note, some testable conditions for mean square (i.e., second moment) stability for discrete-time jump linear systems with time-homogenous and time-inhomogenous finite state Markov chain form processes are presented.
引用
收藏
页码:1204 / 1208
页数:5
相关论文
共 50 条
  • [21] Stochastic Stability and Stabilization of Uncertain Jump Linear Delay Systems via Delay Decomposition
    Wang, Jun-Wei
    Wu, Huai-Ning
    Luo, Yue-Sheng
    JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2011, 133 (02):
  • [22] Stochastic stability and stabilization of positive Markov jump linear impulsive systems with time delay
    Zhao, Ping
    Kang, Yu
    Niu, Ben
    Wang, Xinjun
    IET CONTROL THEORY AND APPLICATIONS, 2022, 16 (17): : 1731 - 1738
  • [23] 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
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2017, 27 (06) : 894 - 914
  • [24] Stochastic and exponential stability of discrete-time Markov jump linear singular systems
    Chavez-Fuentes, Jorge R.
    Mayta, Jorge E.
    Costa, Eduardo F.
    Terra, Marco H.
    SYSTEMS & CONTROL LETTERS, 2017, 107 : 92 - 99
  • [25] Stochastic Stability of Semi-Markov Jump Linear Systems with Uncertain Transition Rates
    Faraji-Niri, Mona
    Jahed-Motlagh, Mohammad-Reza
    2015 23RD IRANIAN CONFERENCE ON ELECTRICAL ENGINEERING (ICEE), 2015, : 799 - 804
  • [26] Further criterion for stochastic stability analysis of semi-Markovian jump linear systems
    Jiang, Baoping
    Karimi, Hamid Reza
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2020, 30 (07) : 2689 - 2700
  • [27] Towards stability analysis of jump linear systems with state-dependent and Stochastic switching
    Tejada, A
    González, OR
    Gray, WS
    PROCEEDINGS OF THE 2004 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2004, : 1893 - 1898
  • [28] Equivalence between Mean Square, Stochastic and Exponential Stability for Singular Jump Linear Systems
    Chavez-Fuentes, Jorge R.
    Costa, Eduardo F.
    Terrac, M. H.
    2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC), 2011, : 2877 - 2882
  • [29] Stochastic stability of non-linear impulsive semi-Markov jump systems
    Lin, Yu
    Zhang, Yu
    IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (11): : 1753 - 1760
  • [30] ON STABILITY OF LINEAR STOCHASTIC SYSTEMS
    KLEINMAN, DL
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1969, AC14 (04) : 429 - +