Non-smooth simultaneous stabilization of nonlinear systems: An interpolation method

被引：3

作者：

Ho-Mock-Qai, B

Dayawansa, WP

机构：

[1] Ctr Etud Navigat Aerienne, F-31055 Toulouse, France

[2] Texas Tech Univ, Dept Math, Lubbock, TX 79409 USA

来源：

SYSTEMS & CONTROL LETTERS | 1998年 / 34卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

continuous feedback; simultaneous stabilization; partition of unity; nonlinear systems;

D O I：

10.1016/S0167-6911(97)00129-1

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 [计算机科学与技术];

摘要：

In this paper, we introduce a method which enables us to construct a continuous simultaneous stabilizer for pairs of systems in R-2 which cannot be simultaneously stabilized by means of C-1 feedback. We extend this method to higher-dimensional systems and show that any pair of asymptotically stabilizable nonlinear systems can be simultaneously stabilized (not asymptotically) by means of continuous feedback. (C) 1998 Elsevier Science B.V. All rights reserved.

引用

页码：43 / 53

页数：11

共 16 条

[1]

SIMULTANEOUS STABILIZATION OF 3 OR MORE PLANTS - CONDITIONS ON THE POSITIVE REAL AXIS DO NOT SUFFICE [J].