Finite-time Stability and Stabilization of Linear Stochastic Systems

被引:0
|
作者
Yan Zhiguo [1 ]
Zhang Guoshan [1 ]
Wang Jiankui [1 ]
机构
[1] Tianjin Univ, Sch Elect Engn & Automat, Tianjin 300072, Peoples R China
关键词
Stochastic Systems; Finite-time Stability; Finite-time Stochastic (c(1); c(2))-stability; Matrix Inequality; UNCERTAINTIES;
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 introduces a new finite-time stability concept for linear stochastic systems which is defined as finite-time stochastic (c(1), c(2))-stability. Some practical test criteria for finite-time stochastic (c(1), c(2))-stability are obtained. In the sequence, the finite-time stochastic (c(1), c(2))-stabilization is studied and some sufficient conditions are given via state-feedback using matrix inequality approach. An algorithm is presented for solving the matrix inequalities arising from finite-time stochastic (c(1), c(2))stabilization. Finally, two examples are employed to illustrate the results.
引用
收藏
页码:1115 / 1120
页数:6
相关论文
共 50 条
  • [1] Finite-Time Stochastic Stability and Stabilization of Linear Markovian Jump Systems
    Zuo, Zhiqiang
    Liu, Yi
    Wang, Yijing
    2011 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, 2011, : 3174 - 3177
  • [2] Finite-Time Stability and Stabilization of Linear Stochastic Parabolic Distributed Parameter Systems
    Zuo, Huang
    Dai, Xisheng
    Zhang, Jianxiang
    PROCEEDINGS OF THE 33RD CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2021), 2021, : 5524 - 5529
  • [3] Finite-time stability and stabilization of linear discrete time-varying stochastic systems
    Zhang, Tianliang
    Deng, Feiqi
    Zhang, Weihai
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2019, 356 (03): : 1247 - 1267
  • [4] Finite-time stability and stabilization of linear discrete time-varying stochastic systems
    Zhang T.
    Deng F.
    Zhang W.
    Journal of the Franklin Institute, 2019, 356 (03): : 1247 - 1267
  • [5] Finite-time stability and stabilization of switched linear systems
    Du, Haibo
    Lin, Xiangze
    Li, Shihua
    PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 1938 - 1943
  • [6] Finite-time stability and stabilization of nonlinear stochastic hybrid systems
    Yang, Ying
    Li, Junmin
    Chen, Guopei
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 356 (01) : 338 - 345
  • [7] FINITE-TIME STABILITY AND STABILIZATION FOR SWITCHED DISCRETE LINEAR SYSTEMS
    Xiang, Weiming
    Xiao, Jian
    Xiao, Chengyong
    CONTROL AND INTELLIGENT SYSTEMS, 2011, 39 (02) : 122 - 128
  • [8] Stochastic finite-time stability and stabilization for stochastic nonlinear systems with impulse effects
    Hu, Wei
    Zhu, Quanxin
    Ding, Kui
    EUROPEAN JOURNAL OF CONTROL, 2024, 75
  • [9] Annular Finite-Time Stabilization of Stochastic Linear Time-Varying Systems
    Tartaglione, Gaetano
    Ariola, Marco
    De Tommasi, Gianmaria
    Amato, Francesco
    2018 IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2018, : 7219 - 7224
  • [10] Finite-time stability and stabilization of Ito stochastic time-varying systems
    Yan Zhiguo
    Zhang Weihai
    Lin Zhongwei
    2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, : 5433 - 5436