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
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
收藏
页码:349 / 353
页数:5
相关论文
共 15 条
[1]   New asymptotic stability criterion for nonlinear time-variant differential equations [J].
Aeyels, D ;
Peuteman, J .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (07) :968-971
[2]  
AEYELS D, 1997, P 36 IEEE C DEC CONT
[3]  
Barbashin E., 1952, DOKLADY MATH TRANSLA, V86, P453
[4]   Control Lyapunov-Razumikhin functions and robust stabilization of time delay systems [J].
Jankovic, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (07) :1048-1060
[5]  
JANKOVIC M, 1999, P 38 IEEE C DEC CONT
[6]   Tracking control of mobile robots: A case study in backstepping [J].
Jiang, ZP ;
Nijmeijer, H .
AUTOMATICA, 1997, 33 (07) :1393-1399
[7]   STABILITY THEORY FOR ORDINARY DIFFERENTIAL EQUATIONS [J].
LASALLE, JP .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1968, 4 (01) :57-&
[8]   Adding integrations, saturated controls, and stabilization for feedforward systems [J].
Mazenc, F ;
Praly, L .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (11) :1559-1578
[9]   Asymptotic tracking of a reference state for systems with a feedforward structure [J].
Mazenc, F ;
Praly, L .
AUTOMATICA, 2000, 36 (02) :179-187
[10]   Interconnected nonlinear systems, local and global stabilization [J].
Mazenc, F .
SYSTEMS & CONTROL LETTERS, 1998, 35 (05) :317-323