Stochastic Finite-Time Stability of Nonlinear Markovian Switching Systems With Impulsive Effects

被引:10
|
作者
Xu, Jia [1 ,2 ]
Sun, Jitao [1 ]
Yue, Dong [3 ]
机构
[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
[2] Tongji Univ, Coll Elect & Informat Engn, Shanghai 201804, Peoples R China
[3] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Hubei, Peoples R China
基金
美国国家科学基金会;
关键词
stochastic finite-time stability; SMSS; impulsive systems; linear matrix inequality; LINEAR-SYSTEMS; STABILIZATION; JUMP;
D O I
10.1115/1.4005359
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 paper, we introduce a new concept of stochastic finite-time stability for a class of nonlinear Markovian switching systems with impulsive effects. Based on the linear matrix inequality approach, sufficient conditions for the system to be stochastic finite-time stable are derived. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed conditions. [DOI: 10.1115/1.4005359]
引用
收藏
页数:5
相关论文
共 50 条
  • [1] Finite-time stability and stabilization of Markovian switching stochastic systems with impulsive effects
    Ying Yang1
    2.Department of Mathematics
    [J]. Journal of Systems Engineering and Electronics, 2010, 21 (02) : 254 - 260
  • [2] Finite-time stability and stabilization of Markovian switching stochastic systems with impulsive effects
    Yang, Ying
    Li, Junmin
    Chen, Guopei
    [J]. JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS, 2010, 21 (02) : 254 - 260
  • [3] Finite-time stability of stochastic nonlinear systems with Markovian switching
    Yin, Juliang
    Yu, Xin
    Khoo, Suiyang
    [J]. PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017), 2017, : 1919 - 1924
  • [4] Finite-time stability and stabilization of stochastic nonlinear systems with Markovian switching
    Zhao, Ping
    Zhao, Yan
    Guo, Rongwei
    [J]. PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016, 2016, : 1770 - 1776
  • [5] Stochastic Finite-Time Stabilization for a Class of Nonlinear Markovian Jump Stochastic Systems With Impulsive Effects
    Chen, Wu-Hua
    Wei, Chenghai
    Lu, Xiaomei
    [J]. JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2015, 137 (04):
  • [6] Finite-time Stabilization for a Class of Stochastic Nonlinear Systems with Markovian Switching
    Zhao, Gui-Hua
    Liu, Shu-Jun
    [J]. 2017 CHINESE AUTOMATION CONGRESS (CAC), 2017, : 168 - 173
  • [7] Finite-time annular domain stability of Ito stochastic impulsive systems with markovian jumping under asynchronous switching
    Gao, Lijun
    Luo, Fangmei
    Yao, Xiuming
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 2020, 93 (09) : 2066 - 2085
  • [8] Novel Criteria on Finite-Time Stability of Impulsive Stochastic Nonlinear Systems
    Hua, Lanfeng
    Zhu, Hong
    Zhong, Shouming
    Shi, Kaibo
    Cao, Jinde
    [J]. IEEE-CAA JOURNAL OF AUTOMATICA SINICA, 2023, 10 (07) : 1634 - 1636
  • [9] Novel Criteria on Finite-Time Stability of Impulsive Stochastic Nonlinear Systems
    Lanfeng Hua
    Hong Zhu
    Shouming Zhong
    Kaibo Shi
    Jinde Cao
    [J]. IEEE/CAA Journal of Automatica Sinica, 2023, 10 (07) : 1634 - 1636
  • [10] Asymptotic Stability of Nonlinear Impulsive Stochastic Systems with Markovian Switching
    Zhang, Xinwen
    Jia, Chao
    Liu, Weiguo
    [J]. ICMLC 2019: 2019 11TH INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND COMPUTING, 2019, : 114 - 118