The revision and extension of the R-MS ring for time delay systems

Pekař, Libor; Prokop, Roman

dc.title	The revision and extension of the R-MS ring for time delay systems	en
dc.contributor.author	Pekař, Libor
dc.contributor.author	Prokop, Roman
dc.relation.ispartof	Bulletin of the Polish Academy of Sciences-Technical Sciences
dc.identifier.issn	0239-7528 Scopus Sources, Sherpa/RoMEO, JCR
dc.date.issued	2017
utb.relation.volume	65
utb.relation.issue	3
dc.citation.spage	341
dc.citation.epage	349
dc.type	article
dc.language.iso	en
dc.publisher	Polska Akademia Nauk, Polish Academia of Sciences, Division IV Technical Sciences of the Polish Academy of Sciences
dc.identifier.doi	10.1515/bpasts-2017-0038
dc.relation.uri	https://www.degruyter.com/view/j/bpasts.2017.65.issue-3/bpasts-2017-0038/bpasts-2017-0038.xml
dc.subject	time delay systems	en
dc.subject	ring	en
dc.subject	Bezout domain	en
dc.subject	coprime factorization	en
dc.description.abstract	This paper is aimed at reviewing the ring of retarded quasipolynomial meromorphic functions (R-MS) that was recently introduced as a convenient control design tool for linear, time-invariant time delay systems (TDS). It has been found by the authors that the original definition does not constitute a ring and has some essential deficiencies, and hence it could not be used for an algebraic control design without a thorough reformulation which i.e. extends the usability to neutral TDS and to those with distributed delays. This contribution summarizes the original definition of RMS, simply highlights its deficiencies via examples, and suggests a possible new extended definition. Hence, the new ring of quasipolynomial meromorphic functions (R-QM) is established to avoid confusion. The paper also investigates and introduces selected algebraic properties supported by some illustrative examples and concisely outlines its use in controller design.	en
utb.faculty	Faculty of Applied Informatics
dc.identifier.uri	http://hdl.handle.net/10563/1007266
utb.identifier.obdid	43877003
utb.identifier.scopus	2-s2.0-85027503087
utb.identifier.wok	000404972400007
utb.source	j-wok
dc.date.accessioned	2017-09-03T21:40:07Z
dc.date.available	2017-09-03T21:40:07Z
dc.description.sponsorship	European Regional Development Fund under the project CEBIA-Tech Instrumentation [CZ.1.05/2.1.00/19]
dc.rights	Attribution-NonCommercial-NoDerivs 4.0 International
dc.rights.uri	https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.access	openAccess
utb.contributor.internalauthor	Pekař, Libor
utb.contributor.internalauthor	Prokop, Roman
utb.fulltext.affiliation	L. PEKAŘ * and R. PROKOP Faculty of Applied Informatics, Tomas Bata University in Zlín, St. Nad Stráněmi 4511, 76005 Zlín, Czech Republic * e-mail: pekar@fai.utb.cz
utb.fulltext.dates	-
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utb.fulltext.sponsorship	-
utb.wos.affiliation	[Pekar, L.; Prokop, R.] Tomas Bata Univ Zlin, Fac Appl Informat, St Stranemi 4511, Zlin 76005, Czech Republic
utb.fulltext.projects	-