Homogeneous Lyapunov functions and necessary conditions for stabilization

被引：62

作者：

Sepulchre, R ^{[1
]}

Aeyels, D ^{[1
]}

机构：

[1] STATE UNIV GHENT,DEPT SYST DYNAM,B-9052 GHENT,BELGIUM

来源：

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 1996年 / 9卷 / 01期

关键词：

continuous feedback stabilization; necessary conditions; homogeneity; Lyapunov functions;

D O I：

10.1007/BF01211517

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We provide necessary conditions for the stabilization of nonlinear control systems with the additional requirement that a time-invariant homogeneous Lyapunov function exists for the closed-loop system.

引用

页码：34 / 58

页数：25

共 22 条

[1]

[Anonymous], [No title captured]

[2] STABILIZATION WITH RELAXED CONTROLS [J].

ARTSTEIN, Z .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1983, 7 (11) :1163-1173

[3] ADDING AN INTEGRATOR FOR THE STABILIZATION PROBLEM [J].

CORON, JM ;

PRALY, L .

SYSTEMS & CONTROL LETTERS, 1991, 17 (02) :89-104

[4]

CORON JM, IN PRESS NONHOLONOMI

[5]

CORON JM, 1989, SYSTEMS CONTROL LETT, V14, P227

[6]

CORON JM, 1994, SIAM J CONTROL OPTIM, V32, P348

[7]

Dayawansa W.P., 1992, PROC 2 IFAC S NONLIN, P1

[8]

DAYAWANSA WP, 1991, NONLINEAR SYNTHESIS, V9

[9]

Golubitsky M., 1973, STABLE MAPPINGS THEI, V14

[10] NILPOTENT AND HIGH-ORDER APPROXIMATIONS OF VECTOR FIELD SYSTEMS [J].

HERMES, H .

SIAM REVIEW, 1991, 33 (02) :238-264

← 1 2 3 →