The concept of 'Exponential input to state stability' for stochastic systems and applications to feedback stabilization

被引：49
作者：
Tsinias, J [1 ]
机构：
[1] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece
来源：
SYSTEMS & CONTROL LETTERS | 1999年 / 36卷 / 03期
关键词：
exponential ISS; stochastic; nonlinear; feedback; global; stabilization;
D O I：
10.1016/S0167-6911(98)00095-4
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 presents a version of the well-known Sontag's 'input-to-state-stability' property for stochastic systems. This concept is used to derive sufficient conditions for global stabilization for certain class of stochastic nonlinear systems by means of static and dynamic output feedback. (C) 1999 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：221 / 229
页数：9
相关论文
共 18 条
[1]  
Arnold L., 1974, DIFFERENTIAL EQUATIO
[2]   ADDING AN INTEGRATOR FOR THE STABILIZATION PROBLEM [J].
CORON, JM ;
PRALY, L .
SYSTEMS & CONTROL LETTERS, 1991, 17 (02) :89-104
[3]  
DENG H, UNPUB OUTPUT FEEDBAC
[4]  
DENG H, UNPUB STOCHASTIC N 1
[5]   LYAPUNOV-LIKE TECHNIQUES FOR STOCHASTIC STABILITY [J].
FLORCHINGER, P .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1995, 33 (04) :1151-1169
[6]  
FLORCHINGER P, 1995, P NOLCOS 95, P837
[7]   SMALL-GAIN THEOREM FOR ISS SYSTEMS AND APPLICATIONS [J].
JIANG, ZP ;
TEEL, AR ;
PRALY, L .
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 1994, 7 (02) :95-120
[8]  
KOPP PE, 1983, MARTINGALES STOCHAST
[9]   STOCHASTIC STABILIZATION AND DESTABILIZATION [J].
MAO, XR .
SYSTEMS & CONTROL LETTERS, 1994, 23 (04) :279-290
[10]   EXPONENTIAL STABILITY OF LARGE-SCALE STOCHASTIC DIFFERENTIAL-EQUATIONS [J].
MAO, XR .
SYSTEMS & CONTROL LETTERS, 1992, 19 (01) :71-81
12