Stability and stabilization of linear positive systems on time scales

被引：4
|
作者：
Bartosiewicz, Zbigniew [1 ]
机构：
[1] Bialystok Tech Univ, Fac Comp Sci, Wiejska 45A, PL-15351 Bialystok, Poland
来源：
POSITIVITY | 2020年 / 24卷 / 05期
关键词：
Positive linear system; Positive stability; Positive stabilization; EXPONENTIAL STABILITY; DYNAMIC EQUATIONS; OBSERVABILITY; REACHABILITY;
D O I：
10.1007/s11117-020-00735-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is shown that a positive linear system on a time scale with a bounded graininess is uniformly exponentially stable if and only if the characteristic polynomial of the matrix defining the system has all its coefficients positive. Then this fact is used to find necessary and sufficient conditions of positive stabilizability of a positive control system on a time scale.
引用
收藏
页码：1361 / 1372
页数：12
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