A stochastic Jurdjevic-Quinn theorem for the stabilization of nonlinear stochastic differential systems

被引：5
|
作者：
Florchinger, P
机构：
[1] F 57160 Moulins les Metz
来源：
STOCHASTIC ANALYSIS AND APPLICATIONS | 2001年 / 19卷 / 03期
关键词：
stochastic differential system; asymptotic stability in probability; Lyapunov theorem; La Salle's invariance principle;
D O I：
10.1081/SAP-100002024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to state sufficient conditions for the existence of stabilizing state feedback laws for nonlinear stochastic differential systems. This result extends to the stochastic context the well-known theorem of Jurdjevic-Quinn [5] and generalizes previous results on the stabilization of stochastic differential systems.
引用
收藏
页码：473 / 480
页数：8
相关论文
共 50 条
  • [31] Adaptive Stabilization of Nonlinear Stochastic Systems
    P. Florchinger
    Applied Mathematics and Optimization, 1998, 38 : 109 - 120
  • [32] Stabilization of a Class of Stochastic Nonlinear Systems
    Ghaffari, Valiollah
    Karimi, Hamid Reza
    Noroozi, Navid
    Naghavi, S. Vahid
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
  • [33] A Finite-Time Stability Theorem of Stochastic Nonlinear Systems and Stabilization Designs
    Yin, Juliang
    Khoo, Suiyang
    Man, Zhihong
    2011 6TH IEEE CONFERENCE ON INDUSTRIAL ELECTRONICS AND APPLICATIONS (ICIEA), 2011, : 1288 - 1292
  • [34] Stochastic suppression and stabilization of nonlinear differential systems with general decay rate
    Song, Yinfang
    Yin, Quan
    Shen, Yi
    Wang, Guan
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2013, 350 (08): : 2084 - 2095
  • [35] Stochastic stabilization and destabilization of nonlinear differential equations
    Huang, Lirong
    SYSTEMS & CONTROL LETTERS, 2013, 62 (02) : 163 - 169
  • [36] FURSTENBERG THEOREM FOR NONLINEAR STOCHASTIC-SYSTEMS
    CARVERHILL, A
    PROBABILITY THEORY AND RELATED FIELDS, 1987, 74 (04) : 529 - 534
  • [37] Robust stabilization design of nonlinear stochastic partial differential systems: Fuzzy approach
    Chang, Yu-Te
    Ho, Shih-Ju
    Chen, Bor-Sen
    FUZZY SETS AND SYSTEMS, 2014, 248 : 61 - 85
  • [38] Decomposition of Nonlinear Stochastic Differential Systems
    M. E. Shaikin
    V. I. Shin
    Automation and Remote Control, 2001, 62 : 409 - 421
  • [39] Decomposition of nonlinear stochastic differential systems
    Shaikin, ME
    Shin, VI
    AUTOMATION AND REMOTE CONTROL, 2001, 62 (03) : 409 - 421
  • [40] On Stabilization of Neutral Stochastic Differential Delay Systems
    Aggoune, W.
    Di Gennaro, S.
    2015 AMERICAN CONTROL CONFERENCE (ACC), 2015, : 5288 - 5293
12345