GENERAL STABILITY OF STOCHASTIC MARKOV JUMP LINEAR SYSTEMS BASED ON THE SPECTRUM TECHNIQUE

被引：6
|
作者：
Sheng, Li [1 ]
Gao, Ming [2 ]
Zhang, Weihai [2 ]
机构：
[1] China Univ Petr East China, Coll Informat & Control Engn, Qingdao 266580, Peoples R China
[2] Shandong Univ Sci & Technol, Coll Informat & Elect Engn, Qingdao 266590, Peoples R China
来源：
ASIAN JOURNAL OF CONTROL | 2013年 / 15卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Markov jump linear systems; stochastic systems; general stability; spectrum technique; STABILIZABILITY; DESTABILIZATION; STABILIZATION; EQUATIONS; SURE;
D O I：
10.1002/asjc.710
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 applies the spectrum technique to investigate the general stability of stochastic Markov jump linear systems (SMJLSs). First, the notion of spectrum for SMJLSs is defined and the relationship between the spectrum and the asymptotical mean square stability is revealed. Second, by analyzing the spectrum distribution in the complex plane, some new concepts of stability, such as critical stability, regional stability, and essential instability, are introduced for SMJLSs. Necessary and sufficient conditions on such general stability are established. Finally, several numerical examples are carried out to illustrate the developed theory.
引用
收藏
页码：1417 / 1425
页数：9
相关论文
共 50 条
  • [1] Stochastic stability of Positive Markov Jump Linear Systems
    Bolzern, Paolo
    Colaneri, Patrizio
    De Nicola, Giuseppe
    AUTOMATICA, 2014, 50 (04) : 1181 - 1187
  • [2] Input-Output Stochastic Stability for Markov Jump Linear Systems
    Costa, Eduardo F.
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2025, 70 (01) : 635 - 641
  • [3] Stochastic Stability of Jump Discrete-Time Linear Systems With Markov Chain in a General Borel Space
    Costa, O. L. V.
    Figueiredo, D. Z.
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (01) : 223 - 227
  • [4] Stochastic stability of positive Markov jump linear systems with fixed dwell time
    Lian, Jie
    Wang, Renke
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2021, 40
  • [5] Stochastic stability and robust stabilization of semi-Markov jump linear systems
    Huang, Ji
    Shi, Yang
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2013, 23 (18) : 2028 - 2043
  • [6] Stochastic Stability of Semi-Markov Jump Linear Systems: An LMI Approach
    Huang, Ji
    Shi, Yang
    2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC), 2011, : 4668 - 4673
  • [7] Stochastic stability of jump linear systems
    Fang, YG
    Loparo, KA
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (07) : 1204 - 1208
  • [8] 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
  • [9] Stability Analysis of Stochastic Hybrid Jump Linear Systems Using a Markov Kernel Approach
    Tejada, Arturo
    Gonzalez, Oscar R.
    Gray, W. Steven
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2013, 58 (12) : 3156 - 3168
  • [10] 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
12345