Stability and angles between state matrices of positive linear systems

Tadeusz Kaczorek

Abstract

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 continuoustime 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.
Author Tadeusz Kaczorek (FEE / DCEE)
Tadeusz Kaczorek,,
- Department of Control Engineering and Electronics
Pages1-6
Publication size in sheets0.5
Book 24th International Conference on Methods and Models in Automation & Robotics: MMAR 2019, 2019, Institute of Electrical and Electronics Engineers, ISBN 978-1-7281-0932-9, 668 p.
Keywords in Englishangle between matrices, positive, linear, continuous-time, discrete-time, system, stability
Internal identifierROC 19-20
Languageen angielski
Score (nominal)20
ScoreMinisterial score = 20.0, 26-09-2019, ChapterFromConference
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