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Representing externally positive systems through minimal eventually positive realizations
Linköpings universitet, Institutionen för systemteknik, Reglerteknik. Linköpings universitet, Tekniska fakulteten.ORCID-id: 0000-0003-4142-6502
2015 (engelsk)Inngår i: Proceedings of the IEEE 54th Annual Conference on Decision and Control (CDC),, Institute of Electrical and Electronics Engineers (IEEE), 2015, s. 6385-6390Konferansepaper, Publicerat paper (Fagfellevurdert)
Abstract [en]

In order to investigate the cases in which an externally positive discrete-time system fails to have a minimal positive realization, in this paper we introduce the notion of minimal eventually positive realization, fr which the state update matrix becomes positive after a certain power. This property captures the idea that in the impulse response of an externally positive system the state of a minimal realization may fail to be positive, but only transiently. It is shown in the paper that whenever a minimal eventually positive realization exists, then the sequence of Markov parameters of the impulse response admits decimated subsequences for which minimal positive realizations exist and can be obtained by downsampling the eventually positive realization.

sted, utgiver, år, opplag, sider
Institute of Electrical and Electronics Engineers (IEEE), 2015. s. 6385-6390
Serie
IEEE Conference on Decision and Control. Proceedings, ISSN 0743-1546
Emneord [en]
positive linear systems; minimal realization;eventually positive matrices; Perron-Frobenius theorem.
HSV kategori
Identifikatorer
URN: urn:nbn:se:liu:diva-127606DOI: 10.1109/CDC.2015.7403225ISI: 000381554506094ISBN: 978-147997886-1 (tryckt)OAI: oai:DiVA.org:liu-127606DiVA, id: diva2:925892
Konferanse
Conference on Decision and Control
Tilgjengelig fra: 2016-05-03 Laget: 2016-05-03 Sist oppdatert: 2016-12-12bibliografisk kontrollert

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