Stochastic Stability of Semi-Markov Jump Linear Systems: An LMI Approach

被引：0
|
作者：
Huang, Ji [1 ]
Shi, Yang [1 ]
机构：
[1] Univ Victoria, Dept Mech Engn, Victoria, BC V8W 3P6, Canada
来源：
2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC) | 2011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：
The semi-Markov jump linear system is more general than the classic Markov jump linear system. In the semi-Markov jump linear systems, the governing stochastic process is not a Markov process, but a semi-Markov process. Instead of the exponential distribution for the sojourn-time in each mode in the jump linear system, the Weibull distribution is considered in this paper. By deriving the infinitesimal generator for the Lyapunov function of the semi-Markov jump linear system, the numerically testable sufficient conditions for stochastic stability of semi-Markov jump linear systems are obtained. Numerical examples are provided to validate the proposed sufficient stochastic stability conditions.
引用
收藏
页码：4668 / 4673
页数：6
相关论文
共 50 条
  • [11] Stochastic Stability of Semi-Markov Positive Linear Systems with Actuator Saturation
    You, Lijie
    Hu, Zenghui
    Mu, Xiaowu
    [J]. PROCEEDINGS OF THE 38TH CHINESE CONTROL CONFERENCE (CCC), 2019, : 1333 - 1338
  • [12] Stochastic stability and stabilization for stochastic differential semi-Markov jump systems with incremental quadratic constraints
    Zhang, Min
    Huang, Jun
    Zhang, Yueyuan
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2021, 31 (14) : 6788 - 6809
  • [13] Stochastic mixed impulsive control and stability for stochastic functional differential systems with semi-Markov jump
    Zhang, Ning
    Chen, Huiyu
    Li, Wenxue
    [J]. NEUROCOMPUTING, 2023, 534 : 187 - 198
  • [14] Stability and Control of Fuzzy Semi-Markov Jump Systems Under Unknown Semi-Markov Kernel
    Ning, Zepeng
    Cai, Bo
    Weng, Rui
    Zhang, Lixian
    Su, Shun-Feng
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2022, 30 (07) : 2452 - 2465
  • [15] Stability Optimization of Positive Semi-Markov Jump Linear Systems via Convex Optimization
    Zhao C.
    Ogura M.
    Sugimoto K.
    [J]. SICE Journal of Control, Measurement, and System Integration, 2020, 13 (05) : 233 - 239
  • [16] Mean stability of continuous-time semi-Markov jump linear positive systems
    Ogura, Masaki
    Martin, Clyde F.
    [J]. 2014 AMERICAN CONTROL CONFERENCE (ACC), 2014, : 3261 - 3266
  • [17] Asynchronous H∞ control of semi-Markov jump linear systems
    Xu, Zhaowen
    Su, Hongye
    Shi, Peng
    Wu, Zheng-Guang
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2019, 349 : 270 - 280
  • [18] Stability analysis of semi-Markov switched stochastic systems
    Wang, Bao
    Zhu, Quanxin
    [J]. AUTOMATICA, 2018, 94 : 72 - 80
  • [19] Linear programming-based stochastic stabilization of hidden semi-Markov jump positive systems
    Jia, Xuan
    Zhang, Junfeng
    Raissi, Tarek
    [J]. AIMS MATHEMATICS, 2024, 9 (10): : 26483 - 26498
  • [20] Stochastic Stabilization of Semi-Markov Jump Systems with Linear Fraction Uncertainty: State Feedback Case
    Long, Fei
    Zhou, Junmin
    Guo, Lu
    [J]. 2014 INTERNATIONAL CONFERENCE ON MECHATRONICS AND CONTROL (ICMC), 2014, : 2247 - 2252
12345