SOME PROPERTIES OF LYAPUNOV FUNCTION SETS

被引：1

作者：

Moulay, Emmanuel ^{[1
]}

机构：

[1] Univ Poitiers, Dept Signal Image Commun, Xlim UMR CNRS 6172, F-86962 Futuroscope, France

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2010年 / 138卷 / 11期

关键词：

Lyapunov functions; convex cones;

D O I：

10.1090/S0002-9939-2010-10298-8

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 study some geometrical and topological properties of Lyapunov function sets. These functions are very useful in control theory to solve stability problems. We focus our attention on the set of Lyapunov functions associated with continuous and discontinuous nonlinear Systems.

引用

页码：4067 / 4073

页数：7

共 13 条

[1]

[Anonymous], 1982, CIRC SYST SIGNAL PR

[2]

[Anonymous], 1988, Differential Equations with Discontinuous Righthand Sides

[3]

Aubin J. P., 1984, GRUNDLEHREN MATH WIS, V264, DOI DOI 10.1007/978-3-642-69512-4

[4] Asymptotic stability and smooth Lyapunov functions [J].

Clarke, FH ;

Ledyaev, YS ;

Stern, RJ .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1998, 149 (01) :69-114

[5] Convex invertible cones and the Lyapunov equation [J].

Cohen, N ;

Lewkowicz, I .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1997, 250 :105-131

[6]

Deimling K., 1992, MULTIVALUED DIFFEREN, V1

[7]

Hahn W., 1967, Stability of motion, V138

[8]

Koteljanskii D.M., 1963, American Mathematical Society Translations, V2, P19

[9] Common solution to the Lyapunov equation for 2 x 2 complex matrices [J].

Laffey, Thomas J. ;

Smigoc, Helena .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2007, 420 (2-3) :609-624

[10]

Li YM, 2005, 2005 IEEE/RSJ INTERNATIONAL CONFERENCE ON INTELLIGENT ROBOTS AND SYSTEMS, VOLS 1-4, P1325

← 1 2 →