Stability analysis of positive linear systems by decomposition of the state matrices into symmetrical and antisymmetrical parts
AbstractThe 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.
|Journal series||Bulletin 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)|
|Keywords in English||linear; positive; system; decomposition; state matrix; stability|
|ASJC Classification||; ; ; ;|
|Internal identifier||ROC 19-20|
|Score||= 100.0, 12-02-2020, ArticleFromJournal|
|Publication indicators||: 2018 = 1.293; : 2018 = 1.277 (2) - 2018=1.256 (5)|
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