Investigation of Robust Stability for Fractional-Order LTI Systems with Multilinear Structure of Ellipsoidal Parametric Uncertainty

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28140%2F20%3A63526562" target="_blank" >RIV/70883521:28140/20:63526562 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-030-63319-6_39" target="_blank" >http://dx.doi.org/10.1007/978-3-030-63319-6_39</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-030-63319-6_39" target="_blank" >10.1007/978-3-030-63319-6_39</a>

Result language
angličtina
Original language name
Investigation of Robust Stability for Fractional-Order LTI Systems with Multilinear Structure of Ellipsoidal Parametric Uncertainty
Original language description
The contribution focuses on the investigation of robust stability for fractional-order linear time-invariant (LTI) systems with the multilinear structure of ellip-soidal parametric uncertainty, i.e., the analyzed family of fractional-order poly-nomials has the multilinear uncertainty structure and an ellipsoid-shaped uncer-tainty bounding set. The robust stability test is based on the numerical calculation and subsequent plot of the value sets, and the application of the zero exclusion condition. Unlike the previously published works, this contribution shows that, contrary to the case of a two-dimensional ellipse of parameters, the internal points of a three-dimensional ellipsoid of parameters cannot create the boundary of the value set in the complex plane even under more complicated uncertainty struc-tures, such as the multilinear one.
Czech name
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Czech description
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Project
<a href="/en/project/LO1303" target="_blank" >LO1303: Promoting sustainability and development of the Centre for Security, Information and Advanced Technologies (CEBIA-Tech)</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Advances in Intelligent Systems and Computing Volume 1295
ISBN
978-303063318-9
ISSN
21945357
e-ISSN
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Number of pages
9
Pages from-to
421-429
Publisher name
Springer Science and Business Media Deutschland GmbH
Place of publication
Berlín
Event location
Vsetín
Event date
Oct 14, 2020
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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