ROBUST STABILITY OF POSITIVE CONTINUOUS-TIME LINEAR SYSTEMS WITH DELAYS

被引：21
|
作者：
Buslowicz, Mikolaj [1 ]
机构：
[1] Bialystok Tech Univ, Fac Elect Engn, PL-15351 Bialystok, Poland
来源：
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE | 2010年 / 20卷 / 04期
关键词：
positive continuous-time linear system; delays; robust stability; linear uncertainty; interval system;
D O I：
10.2478/v10006-010-0049-8
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 paper is devoted to the problem of robust stability of positive continuous-time linear systems with delays with structured perturbations of state matrices. Simple necessary and sufficient conditions for robust stability in the general case and in the case of systems with a linear uncertainty structure in two sub-cases: (i) a unity rank uncertainty structure and (ii) non-negative perturbation matrices are established. The problems are illustrated with numerical examples.
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页码：665 / 670
页数：6
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