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

页码：473 / 480

页数：8

共 50 条

[1] A Jurdjevic-Quinn theorem for nonlinear stochastic systems
Florchinger, Patrick
STOCHASTIC ANALYSIS AND APPLICATIONS, 2022, 40 (03) : 561 - 571
[2] A Jurdjevic-Quinn theorem for stochastic nonlinear systems
Chabour, R
Oumoun, M
STOCHASTIC ANALYSIS AND APPLICATIONS, 1998, 16 (01) : 43 - 50
[3] A stochastic Jurdjevic-Quinn theorem
Florchinger, P
PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, : 2883 - 2884
[4] A stochastic Jurdjevic-Quinn theorem
Florchinger, P
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2002, 41 (01) : 83 - 88
[5] A STOCHASTIC VERSION OF JURDJEVIC-QUINN THEOREM
FLORCHINGER, P
STOCHASTIC ANALYSIS AND APPLICATIONS, 1994, 12 (04) : 473 - 480
[6] A Jurdjevic-Quinn type theorem for nonlinear systems
Bensoubaya, M
Ferfera, A
Iggidr, A
PROCEEDINGS OF THE 37TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 1998, : 2485 - 2490
[7] A Jurdjevic-Quinn-type theorem for stochastic nonlinear control systems
Bensoubaya, M
Ferfera, A
Iggidr, A
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (01) : 93 - 98
[8] Sparse Jurdjevic-Quinn stabilization of dissipative systems
Caponigro, Marco
Piccoli, Benedetto
Rossi, Francesco
Trelat, Emmanuel
AUTOMATICA, 2017, 86 : 110 - 120
[9] Generalization of the Jurdjevic-Quinn theorem and stabilization of bilinear control systems with periodic coefficients: II
Zaitsev, V. A.
DIFFERENTIAL EQUATIONS, 2013, 49 (03) : 336 - 345
[10] Generalization of the Jurdjevic-Quinn theorem and stabilization of bilinear control systems with periodic coefficients: I
V. A. Zaitsev
Differential Equations, 2013, 49 : 101 - 111

← 1 2 3 4 5 →