The Asymptotic Stability of General Stochastic Hybrid Systems

被引：1
|
作者：
Liu Haijun [1 ]
Mu Xiaowu [1 ]
机构：
[1] Zhengzhou Univ, Dept Math, Zhengzhou 450052, Peoples R China
来源：
PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 2 | 2008年
关键词：
General stochastic hybrid system; Stability; Asymptotic stability; Lyapunov function; Martingale;
D O I：
10.1109/CHICC.2008.4605256
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 stability of general stochastic hybrid systems. With the extended generator formula and differential formula for GSHS, Lypunov asymptotic stability theorem is extended to general stochastic hybrid systems.
引用
收藏
页码：628 / 631
页数：4
相关论文
共 50 条
  • [31] STABILITY WITH GENERAL DECAY RATE OF HYBRID NEUTRAL STOCHASTIC PANTOGRAPH DIFFERENTIAL EQUATIONS DRIVEN BY LEVY NOISE
    Zhang, Tian
    Gao, Chuanhou
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 27 (07): : 3725 - 3747
  • [32] Asymptotic stability and instability criteria for nonautonomous systems
    Jiang L.
    Journal of Mathematical Sciences, 2011, 177 (3) : 395 - 401
  • [33] On asymptotic stability of delay-difference systems
    Liao, Xin-Yuan
    Zhu, Hui-Yan
    Chen, Feng-de
    APPLIED MATHEMATICS AND COMPUTATION, 2006, 176 (02) : 759 - 767
  • [34] Asymptotic synchronization and topology identification of stochastic hybrid delayed coupled systems with multiple weights
    Zhang, Chunmei
    Chen, Huiling
    Xu, Qin
    Feng, Yuli
    Li, Ran
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2024, 51
  • [35] Asymptotic stability theorem of Narenda-Annaswamy with stochastic systems and its applications in synchronous switching systems
    Mu, XW
    Liu, HJ
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 811 - 818
  • [36] Sufficient and Necessary Condition for the Asymptotic Stability of Stochastic Systems With Discrete Time Feedbacks and Applications
    Zhao, Xueyan
    Deng, Feiqi
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 67 (09) : 4717 - 4732
  • [37] RAZUMIKHIN-TYPE THEOREMS FOR ASYMPTOTIC STABILITY OF IMPULSIVE STOCHASTIC FUNCTIONAL DIFFERENTIAL SYSTEMS
    Pei CHENG~1 Feiqi DENG~2 Xisheng DAI~3 Systems Engineering Institute
    Journal of Systems Science and Systems Engineering, 2010, 19 (01) : 72 - 84
  • [38] Razumikhin-type theorems for asymptotic stability of impulsive stochastic functional differential systems
    Pei Cheng
    Feiqi Deng
    Xisheng Dai
    Journal of Systems Science and Systems Engineering, 2010, 19 : 72 - 84
  • [39] New asymptotic stability conditions for nonlinear stochastic systems driven by fractional Brownian motion
    Yuan, Xiaolin
    Ren, Guojian
    Li, Mingze
    Yu, Yongguang
    FILOMAT, 2024, 38 (18) : 6355 - 6369
  • [40] Asymptotic stability of a stochastic May mutualism system
    Liu, Guodong
    Qi, Haokun
    Chang, Zhengbo
    Meng, Xinzhu
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2020, 79 (03) : 735 - 745
12345