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Value set-based numerical analysis of robust stability for fractional-order retarded quasi-polynomials with uncertain parameters and uncertain fractional orders

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dc.title Value set-based numerical analysis of robust stability for fractional-order retarded quasi-polynomials with uncertain parameters and uncertain fractional orders en
dc.contributor.author Matušů, Radek
dc.contributor.author Senol, Bilal
dc.contributor.author Alagoz, Baris Baykant
dc.contributor.author Ates, Abdullah
dc.relation.ispartof Lecture Notes in Networks and Systems
dc.identifier.issn 2367-3370 Scopus Sources, Sherpa/RoMEO, JCR
dc.identifier.isbn 978-3-03-090320-6
dc.date.issued 2021
utb.relation.volume 231 LNNS
dc.citation.spage 18
dc.citation.epage 23
dc.event.title 5th Computational Methods in Systems and Software, CoMeSySo 2021
dc.event.location online
dc.event.sdate 2021-10-01
dc.event.edate 2021-10-01
dc.type conferenceObject
dc.language.iso en
dc.publisher Springer Science and Business Media Deutschland GmbH
dc.identifier.doi 10.1007/978-3-030-90321-3_3
dc.relation.uri https://link.springer.com/chapter/10.1007/978-3-030-90321-3_3
dc.subject fractional-order systems en
dc.subject parametric uncertainty en
dc.subject retarded quasi-polynomials en
dc.subject robust stability en
dc.subject uncertain fractional orders en
dc.subject value set en
dc.subject zero exclusion principle en
dc.description.abstract This example-oriented contribution deals with the value set-based numerical analysis of robust stability for the family of fractional-order retarded quasi-polynomials with both uncertain parameters and uncertain fractional orders. The specific investigated feedback control system consists of the fractional-order PID controller and the controlled plant, represented by a heat transfer process described by the linear time-invariant fractional-order time-delay model with parametric uncertainty (with three uncertain parameters, namely, gain, fractional time constant, and fractional time-delay term, and furthermore two fractional orders). The graphical robust stability analysis is based on the numerical calculation of the value sets and the application of the zero exclusion principle. © 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG. en
utb.faculty Faculty of Applied Informatics
dc.identifier.uri http://hdl.handle.net/10563/1010725
utb.identifier.obdid 43883098
utb.identifier.scopus 2-s2.0-85120684997
utb.source d-scopus
dc.date.accessioned 2021-12-22T11:51:35Z
dc.date.available 2021-12-22T11:51:35Z
utb.ou CEBIA-Tech
utb.contributor.internalauthor Matušů, Radek
utb.fulltext.affiliation VRATISLAV KOZÁK, PETR FUSEK Univerzita Tomáše Bati ve Zlíně, Fakulta managementu a ekonomiky, Mostní 5139, 760 01 Zlín
utb.fulltext.dates Do redakce došlo 29. 1. 2004
utb.fulltext.sponsorship -
utb.scopus.affiliation Centre for Security, Information and Advanced Technologies (CEBIA–Tech), Faculty of Applied Informatics, Tomas Bata University in Zlín, Nám. T. G. Masaryka 5555, Zlín, 76001, Czech Republic; Department of Computer Engineering, Faculty of Engineering, Inonu University, Malatya, 44280, Turkey
utb.fulltext.projects -
utb.fulltext.faculty Faculty of Management and Economics
utb.fulltext.ou -
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