On the exponential stability of stochastic Markovian jump systems

被引：0
|
作者：
Boukas, EK [1 ]
Yang, H [1 ]
机构：
[1] Ecole Polytech Montreal, Dept Mech Engn, Quebec City, PQ H3C 3A7, Canada
来源：
PROCEEDINGS OF THE 36TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5 | 1997年
关键词：
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 deals with the exponential stability of the class of stochastic systems with jumps. For the linear case, a sufficient condition, which guarantees that the nominal system with a bounded diffusion term remains stable under a state feedback control law, is established. For the case of uncertaiin linear stochastic system, we have designed an optimal control law that guarantees the robust exponential stability of the systems. Finally for the nonlinear case with matching conditions, we have established a similar result.
引用
收藏
页码：547 / 548
页数：2
相关论文
共 50 条
  • [1] ALMOST SURE EXPONENTIAL STABILITY OF STOCHASTIC REACTION DIFFUSION SYSTEMS WITH MARKOVIAN JUMP
    Liu, J.
    [J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2014, 40 (03): : 619 - 629
  • [2] Exponential stability of stochastic Markovian jump systems with time-varying and distributed delays
    Zhao, Xueyan
    Deng, Feiqi
    Gao, Wenhua
    [J]. SCIENCE CHINA-INFORMATION SCIENCES, 2021, 64 (10)
  • [3] Exponential stability of stochastic Markovian jump systems with time-varying and distributed delays
    Xueyan ZHAO
    Feiqi DENG
    Wenhua GAO
    [J]. Science China(Information Sciences), 2021, 64 (10) : 251 - 253
  • [4] Exponential stability of stochastic Markovian jump systems with time-varying and distributed delays
    Xueyan Zhao
    Feiqi Deng
    Wenhua Gao
    [J]. Science China Information Sciences, 2021, 64
  • [5] Exponential Stability of Discrete-Time Markovian Jump Nonlinear Systems With Stochastic Impulses
    Cai, Ting
    Cheng, Pei
    [J]. IEEE ACCESS, 2023, 11 : 108245 - 108256
  • [6] Improved exponential stability for stochastic Markovian jump systems with nonlinearity and time-varying delay
    He, Yong
    Zhang, Yan
    Wu, Min
    She, Jin-Hua
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2010, 20 (01) : 16 - 26
  • [7] Refined exponential stability for stochastic Markovian jump systems with nonlinearity and time-varying delays
    Yuan, Meng
    Zhang, Xian
    [J]. PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 1602 - 1607
  • [8] Almost sure exponential stability of time-varying linear stochastic Markovian jump systems
    Liu, Xiaohua
    Zhao, Xueyan
    Deng, Feiqi
    Gao, Wenhua
    [J]. 2019 3RD IEEE CONFERENCE ON CONTROL TECHNOLOGY AND APPLICATIONS (IEEE CCTA 2019), 2019, : 947 - 949
  • [9] Exponential H∞ filtering for stochastic Markovian jump systems with time delays
    Chen, Yun
    Zheng, Wei Xing
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2014, 24 (04) : 625 - 643
  • [10] A Note on Sufficient Conditions of Almost Sure Exponential Stability for Semi-Markovian Jump Stochastic Systems
    Wang, Bao
    Zhu, Quanxin
    [J]. IEEE ACCESS, 2019, 7 : 49466 - 49473
12345