Strict Lyapunov functions for time-varying systems

被引：68

作者：

Mazenc, F ^{[1
]}

机构：

[1] INRIA Lorraine, Projet CONGE, ISGMP, F-57045 Metz 01, France

来源：

AUTOMATICA | 2003年 / 39卷 / 02期

关键词：

Lyapunov functions; nonlinear systems; time-varying;

D O I：

10.1016/S0005-1098(02)00233-9

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Uniformly asymptotically stable periodic time-varying systems for which is known a Lyapunov function with a derivative. along the trajectories non-positive and negative definite in the state variable on non-empty open intervals of the time are considered. For these systems, strict Lyapunov functions are constructed. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：349 / 353

页数：5

共 15 条

[11] Lyapunov stability analysis for nonlinear delay systems [J].

Mazenc, F. ;

Niculescu, S.-I. .

Systems and Control Letters, 2001, 42 (04) :245-251

[12] PERSISTENT EXCITATION IN ADAPTIVE SYSTEMS [J].

NARENDRA, KS ;

ANNASWAMY, AM .

INTERNATIONAL JOURNAL OF CONTROL, 1987, 45 (01) :127-160

[13]

Sepulchre R., 1996, Constructive nonlinear control

[14] A UNIVERSAL CONSTRUCTION OF ARTSTEIN THEOREM ON NONLINEAR STABILIZATION [J].

SONTAG, ED .

SYSTEMS & CONTROL LETTERS, 1989, 13 (02) :117-123

[15] Connections between Razumikhin-type theorems and the ISS nonlinear small gain theorem [J].

Teel, AR .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (07) :960-964

← 1 2 →