Minimal positive continuous-time realizations of positive response maps

Zbigniew Bartosiewicz

Abstract

Positive nonlinear continuous-time local realizations of positive response maps are studied. The realizations are minimal if they are positively reachable and positively observable. Necessary and sufficient conditions for a response map to have a minimal positive local realization are provided. It is also shown that a minimal positive local realization has the minimal dimension among all positive local realizations of the given response map and that it is unique up to an isomorphism of systems.
Author Zbigniew Bartosiewicz (FCS / DM)
Zbigniew Bartosiewicz,,
- Department of Mathematics
Journal seriesSystems & Control Letters, ISSN 0167-6911, (N/A 100 pkt)
Issue year2019
Vol130
Pages7-12
Publication size in sheets0.5
Keywords in EnglishPositive response mapPositive local realizationPositive reachability and observabilityMinimal positive system
ASJC Classification1700 General Computer Science; 2207 Control and Systems Engineering; 2208 Electrical and Electronic Engineering; 2210 Mechanical Engineering
DOIDOI:10.1016/j.sysconle.2019.06.004
Internal identifierROC 19-20
Languageen angielski
LicenseJournal (articles only); published final; Other open licence; after publication
Score (nominal)100
Score sourcejournalList
ScoreMinisterial score = 100.0, 26-03-2020, ArticleFromJournal
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2016 = 2.087; WoS Impact Factor: 2018 = 2.624 (2) - 2018=3.117 (5)
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