Stability and angles between state matrices of positive linear systems

被引：0
作者：
Kaczorek, Tadeusz [1 ]
机构：
[1] Bialystok Tech Univ, Fac Elect Engn, Bialystok, Poland
来源：
2019 24TH INTERNATIONAL CONFERENCE ON METHODS AND MODELS IN AUTOMATION AND ROBOTICS (MMAR) | 2019年
关键词：
angle between matrices; positive; linear; continuous-time; discrete-time; system; stability; ELECTRICAL CIRCUITS;
D O I：
10.1109/mmar.2019.8864610
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 stability and the angles between state matrices of positive continuous-time and discrete-time linear systems are addressed. It is shown that: 1) The angles between matrices can be useful tool for analysis of the stability of positive continuous-time and discrete-time linear systems; 2) The positive linear system is asymptotically stable if and only if the symmetrical part of the state matrix is Hurwitz for continuous-time systems and Schur for discrete-time systems; 3) Using the angles between matrices necessary and sufficient conditions are established for the asymptotic stability of the positive linear systemst.
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页码：1 / 6
页数：6
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