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A comparison of possible exponential polynomial approximations to get commensurate delays

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dc.title A comparison of possible exponential polynomial approximations to get commensurate delays en
dc.contributor.author Pekař, Libor
dc.contributor.author Chalupa, Petr
dc.relation.ispartof MATEC Web of Conferences 20th International Conference on Circuits, Systems, Communications and Computers (CSCC 2016)
dc.identifier.issn 2261-236X OCLC, Ulrich, Sherpa/RoMEO, JCR
dc.date.issued 2016
utb.relation.volume 76
dc.event.title 20th International Conference on Circuits, Systems, Communications and Computers (CSCC)
dc.event.location Corfu
utb.event.state-en Greece
utb.event.state-cs Řecko
dc.event.sdate 2016-07-14
dc.event.edate 2016-07-17
dc.type conferenceObject
dc.language.iso en
dc.publisher EDP Sciences
dc.identifier.doi 10.1051/matecconf/20167602012
dc.relation.uri https://www.matec-conferences.org/articles/matecconf/abs/2016/39/matecconf_cscc2016_02012/matecconf_cscc2016_02012.html
dc.description.abstract The paper is aimed at a comparative simulation study on three prospective ideas how to approximate a general exponential polynomial by another one having all its exponents in the exp-function as integer multiples of some real number. This work is motivated by spectral properties of neutral time-delay systems (NTDS) and the contemporary state of the knowledge about the spectrum of NTDS with commensurate delays which are characterized by the latter family of exponential polynomials. The three ideas are, namely, those: Taylor series expansion, the interpolation in points given by dominant roots estimates and the special extrapolation technique presented by the authors recently. The goal is to match dominant parts of both the spectra as close as possible. However, some properties from the so called strong stability point of view can not be, in principle, preserved. The presented simulation example demonstrates the accuracy and efficiency of all the methods. en
utb.faculty Faculty of Applied Informatics
dc.identifier.uri http://hdl.handle.net/10563/1007003
utb.identifier.obdid 43875462
utb.identifier.scopus 2-s2.0-85016133550
utb.identifier.wok 000392332200025
utb.source d-wok
dc.date.accessioned 2017-07-13T14:50:32Z
dc.date.available 2017-07-13T14:50:32Z
dc.description.sponsorship Ministry of Education, Youth and Sports of the Czech Republic within the National Sustainability Programme [L01303, MSMT-7778/2014]; European Regional Development Fund [CZ.1.05/2.1.00/03.0089]
dc.rights Attribution 4.0 International
dc.rights.uri http://creativecommons.org/licenses/by/4.0/
dc.rights.access openAccess
utb.contributor.internalauthor Pekař, Libor
utb.contributor.internalauthor Chalupa, Petr
utb.fulltext.affiliation Libor Pekař a and Petr Chalupa 1 Tomas Bata University in Zlín, Faculty of Applied Informatics, Nad Stráněmi 4511, 76005 Zlín 5, Czech Republic a Corresponding author: pekar@fai.utb.cz
utb.fulltext.dates -
utb.fulltext.sponsorship This work was supported by the Ministry of Education, Youth and Sports of the Czech Republic within the National Sustainability Programme project No. LO1303 (MSMT-7778/2014) and also by the European Regional Development Fund under the project CEBIA-Tech No. CZ.1.05/2.1.00/03.0089.
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Attribution 4.0 International Except where otherwise noted, this item's license is described as Attribution 4.0 International