Practical stability and stabilization

被引：86

作者：

Moreau, L ^{[1
]}

Aeyels, D ^{[1
]}

机构：

[1] Univ Ghent, SYSTeMS Grp, B-9052 Zwijnaarde, Belgium

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2000年 / 45卷 / 08期

关键词：

approximation methods; Lie algebras; stability; time-varying systems;

D O I：

10.1109/9.871771

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 present a practical stability result for dynamical systems depending on a small parameter. This result is applied to a practical stability analysis of fast time-varying systems studied In averaging theory, and of highly oscillatory systems studied by Sussmann and Liu. Furthermore, the problem of practically stabilizing control affine systems with drift is discussed.

引用

页码：1554 / 1558

页数：5

共 14 条

[1]

[Anonymous], 1998, MATH CONTROL THEORY

[2]

Hartmann P., 1982, ORDINARY DIFFERENTIA

[3]

Khalil HK., 1992, NONLINEAR SYSTEMS

[4]

KURZWEIL J, 1987, J APPL MATH PHYS, V38, P241