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On delay (in)dependent stability for TDS

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dc.title On delay (in)dependent stability for TDS en
dc.contributor.author Pekař, Libor
dc.contributor.author Prokop, Roman
dc.relation.ispartof International Congress on Ultra Modern Telecommunications and Control Systems and Workshops
dc.identifier.issn 2157-0221 Scopus Sources, Sherpa/RoMEO, JCR
dc.identifier.isbn 978-1-4673-9283-9
dc.date.issued 2015
utb.relation.volume 2016-January
dc.citation.spage 73
dc.citation.epage 78
dc.event.title 7th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT 2015)
dc.event.location Brno
utb.event.state-en Czech Republic
utb.event.state-cs Česká republika
dc.event.sdate 2015-10-06
dc.event.edate 2015-10-08
dc.type conferenceObject
dc.language.iso en
dc.publisher IEEE Computer Society
dc.identifier.doi 10.1109/ICUMT.2015.7382408
dc.relation.uri http://ieeexplore.ieee.org/document/7382408/
dc.subject delay dependent stability en
dc.subject delay independent stability en
dc.subject exponential stability en
dc.subject multiple time-delay systems en
dc.subject rationalization en
dc.subject Regula-Falsi en
dc.subject unstable plant en
dc.description.abstract A preliminary-study contribution to delay dependent (DDS) and independent (DIS) stability of control systems with multiple delays is focused in this paper. We first introduce some basic facts about the spectral properties of such systems and a recently developed DIS method is concisely described. Then our simple and applicable numerical gridding iterative DDS algorithm based on the finite dimensional approximation of the characteristic quasipolynomial by means of the Taylor series expansion and the Regula-Falsi method is presented. The methodologies are used and verified by a simulation example of control a delayed feedback system with an unstable plant with two delays. Since it is shown that the system is not DIS, the DDS feature with respect to delay deviations is investigated via the proposed algorithm. Numerical experiments indicate a very good correspondence between the DDS algorithm results and the searching of crossing delays by using the QuasiPolynomial matrix Rootfinder. © 2015 IEEE. en
utb.faculty Faculty of Applied Informatics
dc.identifier.uri http://hdl.handle.net/10563/1006416
utb.identifier.obdid 43873832
utb.identifier.scopus 2-s2.0-84964668056
utb.identifier.wok 000380551300014
utb.source d-scopus
dc.date.accessioned 2016-07-26T14:58:28Z
dc.date.available 2016-07-26T14:58:28Z
utb.contributor.internalauthor Pekař, Libor
utb.contributor.internalauthor Prokop, Roman
utb.fulltext.affiliation Libor Pekař, Roman Prokop Faculty of Applied Informatics Tomas Bata University in Zlín Czech Republic {pekar, prokop}@fai.utb.cz
utb.fulltext.dates -
utb.fulltext.faculty Faculty of Applied Informatics
utb.fulltext.faculty Faculty of Applied Informatics
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