INDEPENDENCE OF ASYMPTOTIC STABILITY OF POSITIVE 2D LINEAR SYSTEMS WITH DELAYS OF THEIR DELAYS

被引：19
作者：
Kaczorek, Tadeusz [1 ]
机构：
[1] Bialystok Tech Univ, Fac Elect Engn, PL-15351 Bialystok, Poland
来源：
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE | 2009年 / 19卷 / 02期
关键词：
2D systems; systems with delays; asymptotic stability; positive systems; STATE-SPACE MODEL; REALIZATIONS;
D O I：
10.2478/v10006-009-0021-7
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
It is shown that the asymptotic stability of positive 2D linear systems with delays is independent of the number and values of the delays and it depends only on the sum of the system matrices, and that the checking of the asymptotic stability of positive 2D linear systems with delays can be reduced to testing that of the corresponding positive 1D systems without delays. The effectiveness of the proposed approaches is demonstrated on numerical examples.
引用
收藏
页码：255 / 261
页数：7
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