Sufficient conditions for the existence of an unbounded solution

被引：7

作者：

Orsi, R

Praly, L

Mareels, I

机构：

[1] Voyan Technol, Santa Clara, CA 95054 USA

[2] Ecole Mines Paris, Ctr Automat & Syst, F-77305 Fontainebleau, France

[3] Univ Melbourne, Dept Elect & Elect Engn, Parkville, Vic 3052, Australia

来源：

AUTOMATICA | 2001年 / 37卷 / 10期

关键词：

unbounded solutions; global stabilizability;

D O I：

10.1016/S0005-1098(01)00114-5

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Readily verifiable conditions under which a dynamical system of the form (x) over dot = f(x) possesses an unbounded solution are presented. The results are illustrated by showing they can be used to infer results about lack of global stabilizability for nonlinear control systems. The key observation in the paper is that behaviour at infinity can be studied using local methods applied to an auxiliary system, (C) 2001 Elsevier Science Ltd. All rights reserved.

引用

页码：1609 / 1617

页数：9