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Enhanced TDS stability analysis method via characteristic quasipolynomial polynomization

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dc.title Enhanced TDS stability analysis method via characteristic quasipolynomial polynomization en
dc.contributor.author Pekař, Libor
dc.relation.ispartof Advances in Intelligent Systems and Computing
dc.identifier.issn 2194-5357 Scopus Sources, Sherpa/RoMEO, JCR
dc.identifier.isbn 9783319572635
dc.date.issued 2017
utb.relation.volume 574
dc.citation.spage 20
dc.citation.epage 29
dc.event.title 6th Computer Science On-line Conference, CSOC 2017
dc.event.sdate 2017-04-26
dc.event.edate 2017-04-29
dc.type conferenceObject
dc.language.iso en
dc.publisher Springer Verlag
dc.identifier.doi 10.1007/978-3-319-57264-2_3
dc.relation.uri https://link.springer.com/chapter/10.1007/978-3-319-57264-2_3
dc.subject Delay dependent stability en
dc.subject Quasipolynomial approximation en
dc.subject Time delay systems en
dc.description.abstract Time delay systems own infinite spectra which cannot be simply analyzed or controlled. A way how to deal with this task consists of an approximation of the characteristic quasipolynomial by a polynomial that can be further handled via conventional tools. This contribution is aimed at an improved extrapolation method transforming a retarded quasipolynomial into a corresponding polynomial. It is equivalent to the finding of a finite-dimensional model related to an infinite-dimensional one describing a time delay system. The approximating polynomial is then used to analyze the dependence of delay values to exponential stability of the system. Two ideas are adopted and compared here; namely, a linear interpolation method via the Regula Falsi method, and the root Newton’s method with root tendency. The whole procedure is simply implementable by using standard software tools. To demonstrate this issue, a numerical example performed in MATLAB® & Simulink® environment is given to the reader. © Springer International Publishing AG 2017. en
utb.faculty Faculty of Applied Informatics
dc.identifier.uri http://hdl.handle.net/10563/1007378
utb.identifier.obdid 43877004
utb.identifier.scopus 2-s2.0-85018685698
utb.identifier.wok 000405339200003
utb.source d-scopus
dc.date.accessioned 2017-09-08T12:14:48Z
dc.date.available 2017-09-08T12:14:48Z
dc.description.sponsorship Ministry of Education, Youth and Sports of the Czech Republic within the National Sustainability Programme [LO1303 (MSMT-7778/2014)]
utb.contributor.internalauthor Pekař, Libor
utb.fulltext.affiliation Libor Pekař Faculty of Applied Informatics, Tomas Bata University in Zlín, Nad Stráněmi 4511, 76005 Zlín, Czech Republic pekar@fai.utb.cz
utb.fulltext.dates -
utb.fulltext.faculty Faculty of Applied Informatics
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