Finite-Time and Practical Stability of a Class of Stochastic Dynamical Systems

被引：23
|
作者：
Michel, Anthony N. [1 ]
Hou, Ling [2 ]
机构：
[1] Univ Notre Dame, Dept Elect Engn, Notre Dame, IN 46556 USA
[2] St Cloud State Univ, Dept Elect & Comp Engn, St Cloud, MN USA
来源：
47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008) | 2008年
关键词：
D O I：
10.1109/CDC.2008.4738705
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 practice, one is not only interested in qualitative characterizations provided by Lyapunov and Lagrange stability, but also in quantitative information concerning system behavior, including estimates of trajectory bounds over finite and infinite time intervals. This type of information has been ascertained in a systematic manner using the notions of finite-time stability and practical stability. In the present paper we generalize some of the existing finite-time stability and practical stability results for deterministic dynamical systems determined by ordinary differential equations to dynamical systems determined by an important class of stochastic differential equations. We consider two types of stability concepts: finite-time and practical stability in the mean and in the mean square. We demonstrate the applicability of our results by means of several examples.
引用
收藏
页码：3452 / 3456
页数：5
相关论文
共 50 条
  • [41] Finite-time state feedback stabilization for a class of stochastic nonlinear systems
    Zhao, Yan
    Zhao, Ping
    2016 IEEE INTERNATIONAL CONFERENCE ON INFORMATION AND AUTOMATION (ICIA), 2016, : 1325 - 1329
  • [42] Resilient Finite-Time Controller Design of a Class of Stochastic Nonlinear Systems
    Yan, Zhiguo
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [43] Finite-time stability of nonlinear stochastic ?-Hilfer fractional systems with time delay
    Yang, Qing
    Bai, Chuanzhi
    Yang, Dandan
    AIMS MATHEMATICS, 2022, 7 (10): : 18837 - 18852
  • [44] Finite-time stability and stabilization of Ito stochastic time-varying systems
    Yan Zhiguo
    Zhang Weihai
    Lin Zhongwei
    2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, : 5433 - 5436
  • [45] New finite-time stability result for a class of Ito-Doob stochastic fractional order systems
    Arfaoui, Hassen
    Ben Makhlouf, A.
    Mchiri, Lassaad
    Rhaima, Mohamed
    ALEXANDRIA ENGINEERING JOURNAL, 2023, 73 : 89 - 93
  • [46] CONVERSE THEOREMS FOR FINITE-TIME STABILITY AND PRACTICAL STABILITY
    KAPLAN, JL
    IEEE TRANSACTIONS ON CIRCUIT THEORY, 1973, CT20 (01): : 66 - 67
  • [47] UNIFORM PRACTICAL AND FINITE-TIME STABILITY OF LARGE-SCALE SYSTEMS
    GRUJIC, LT
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1975, 6 (02) : 181 - 195
  • [48] Practical Finite-Time Stability of Nonlinear Systems With Delayed Impulsive Control
    Xi, Qiang
    Liu, Xinzhi
    Li, Xiaodi
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2023, 53 (11): : 7317 - 7325
  • [49] Generalized Lyapunov criteria on finite-time stability of stochastic nonlinear systems
    Yu, Xin
    Yin, Juliang
    Khoo, Suiyang
    AUTOMATICA, 2019, 107 : 183 - 189
  • [50] Finite-Time Stochastic Stability and Stabilization of Linear Markovian Jump Systems
    Zuo, Zhiqiang
    Liu, Yi
    Wang, Yijing
    2011 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, 2011, : 3174 - 3177
12345