Stability analysis of positive linear systems by decomposition of the state matrices into symmetrical and antisymmetrical parts

Tadeusz Kaczorek

Abstract

The stability of positive linear continuous-time and discrete-time systems is analyzed by the use of the decomposition of the state matrices into symmetrical and antisymmetrical parts. It is shown that: 1) The state Metzler matrix of positive continuous-time linear system is Hurwitz if and only if its symmetrical part is Hurwitz; 2) The state matrix of positive linear discrete-time system is Schur if and only if its symmetrical part is Hurwitz. These results are extended to inverse matrices of the state matrices of the positive linear systems.
Author Tadeusz Kaczorek (FEE / DCEE)
Tadeusz Kaczorek,,
- Department of Control Engineering and Electronics
Journal seriesBulletin of the Polish Academy of Sciences, Technical Sciences, [Bulletin of the Polish Academy of Sciences: Technical Sciences], ISSN 0239-7528, e-ISSN 2300-1917, (N/A 100 pkt)
Issue year2019
Vol67
No4
Pages761-768
Keywords in Englishlinear; positive; system; decomposition; state matrix; stability
ASJC Classification1702 Artificial Intelligence; 1705 Computer Networks and Communications; 1710 Information Systems; 2200 General Engineering; 3107 Atomic and Molecular Physics, and Optics
DOIDOI:10.24425/bpasts.2019.130185
URL http://journals.pan.pl/dlibra/publication/130185/edition/113669/content/stability-analysis-of-positive-linear-systems-by-decomposition-of-the-state-matrices-into-symmetrical-and-antisymmetrical-parts-kaczorek-t?language=pl
Internal identifierROC 19-20
Languageen angielski
Score (nominal)100
Score sourcejournalList
ScoreMinisterial score = 100.0, 12-02-2020, ArticleFromJournal
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2018 = 1.293; WoS Impact Factor: 2018 = 1.277 (2) - 2018=1.256 (5)
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