On Kharitonov's theorem without invariant degree assumption

被引：17

作者：

Kale, AA

Tits, AL ^{[1
]}

机构：

[1] Univ Maryland, Dept Elect & Comp Engn, College Pk, MD 20742 USA

[2] Univ Maryland, Syst Res Inst, College Pk, MD 20742 USA

[3] Univ Maryland, Ctr Automat Res, College Pk, MD 20742 USA

来源：

AUTOMATICA | 2000年 / 36卷 / 07期

关键词：

robust stability; Kharitonov's theorem; uncertain linear systems; interval polynomials; uncertainty;

D O I：

10.1016/S0005-1098(00)00016-9

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The original statement of Kharitonov's theorem requires that all polynomials in the family have the same degree. It has been shown recently that such an assumption is unnecessary. Here we show that the validity of the stronger statement follows from a classical proof combined with additional elementary considerations. (C) 2000 Elsevier Science Ltd. All rights reserved.

引用

页码：1075 / 1076

页数：2