EXPONENTIAL MEAN-SQUARE STABILITY OF PARTIALLY LINEAR STOCHASTIC-SYSTEMS

被引：5

作者：

CHABOUR, R ^{[1
]}

FLORCHINGER, P ^{[1
]}

机构：

[1] UNIV METZ,DEPT MATH,UFR MIM,CNRS,URA 399,F-57045 METZ,FRANCE

来源：

APPLIED MATHEMATICS LETTERS | 1993年 / 6卷 / 06期

关键词：

D O I：

10.1016/0893-9659(93)90085-2

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 linear feedback laws which render the equilibrium solution of a composite partially linear stochastic system (the linear part of which is deterministic) exponentially stable in mean square.

引用

页码：91 / 95

页数：5

共 10 条

[1]

Arnold L., 1974, STOCHASTIC DIFFERENT

[2] NEW RESULTS AND EXAMPLES IN NONLINEAR FEEDBACK STABILIZATION [J].

BYRNES, CI ;

ISIDORI, A .

SYSTEMS & CONTROL LETTERS, 1989, 12 (05) :437-442

[3] A UNIVERSAL FORMULA FOR THE STABILIZATION OF CONTROL STOCHASTIC DIFFERENTIAL-EQUATIONS [J].

FLORCHINGER, P .

STOCHASTIC ANALYSIS AND APPLICATIONS, 1993, 11 (02) :155-162

[4]

FLORCHINGER P, IN PRESS STOCHASTIC

[5] FEEDBACK STABILIZABILITY OF NONLINEAR STOCHASTIC-SYSTEMS WITH STATE-DEPENDENT NOISE [J].

GAO, ZY ;

AHMED, NU .

INTERNATIONAL JOURNAL OF CONTROL, 1987, 45 (02) :729-737

[6]

Khasminskii R, 2011, STOCHASTIC STABILITY

[7] A POSITIVE REAL CONDITION FOR GLOBAL STABILIZATION OF NONLINEAR-SYSTEMS [J].

KOKOTOVIC, PV ;

SUSSMANN, HJ .

SYSTEMS & CONTROL LETTERS, 1989, 13 (02) :125-133

[8] GLOBAL STABILIZATION OF PARTIALLY LINEAR COMPOSITE SYSTEMS [J].

SABERI, A ;

KOKOTOVIC, PV ;

SUSSMANN, HJ .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1990, 28 (06) :1491-1503

[9] SMOOTH STABILIZATION IMPLIES COPRIME FACTORIZATION [J].

SONTAG, ED .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1989, 34 (04) :435-443

[10]

Tsinias J., 1989, Mathematics of Control, Signals, and Systems, V2, P343, DOI 10.1007/BF02551276

← 1 →