Positivity and stability of fractional descriptor time–varying discrete–time linear systems

Positivity and stability of fractional descriptor time–varying discrete–time linear systems

The Weierstrass–Kronecker theorem on the decomposition of the regular pencil is extended to fractional descriptor time-varying discrete-time linear systems. A method for computing solutions of fractional systems is proposed. Necessary and sufficient conditions for the positivity of these systems are...

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Bibliographic Details
Main Author: Kaczorek Tadeusz
Format: Article
Language:English
Published: Sciendo 2016-03-01
Series:International Journal of Applied Mathematics and Computer Science
Subjects:
fractional system
descriptor system
time-varying system
positive system
discrete-time system
Online Access:https://doi.org/10.1515/amcs-2016-0001
id doaj-1e324559b3c945b2b49bafdfca36e724
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spelling doaj-1e324559b3c945b2b49bafdfca36e7242021-09-06T19:39:49ZengSciendoInternational Journal of Applied Mathematics and Computer Science2083-84922016-03-0126151310.1515/amcs-2016-0001amcs-2016-0001Positivity and stability of fractional descriptor time–varying discrete–time linear systemsKaczorek Tadeusz0Faculty of Electrical Engineering, Białystok University of Technology, ul. Wiejska 45D, 15-351 Białystok, PolandThe Weierstrass–Kronecker theorem on the decomposition of the regular pencil is extended to fractional descriptor time-varying discrete-time linear systems. A method for computing solutions of fractional systems is proposed. Necessary and sufficient conditions for the positivity of these systems are established.https://doi.org/10.1515/amcs-2016-0001fractional systemdescriptor systemtime-varying systempositive systemdiscrete-time system
collection DOAJ
language English
format Article
sources DOAJ
author Kaczorek Tadeusz
spellingShingle Kaczorek Tadeusz
Positivity and stability of fractional descriptor time–varying discrete–time linear systems
International Journal of Applied Mathematics and Computer Science
fractional system
descriptor system
time-varying system
positive system
discrete-time system
author_facet Kaczorek Tadeusz
author_sort Kaczorek Tadeusz
title Positivity and stability of fractional descriptor time–varying discrete–time linear systems
title_short Positivity and stability of fractional descriptor time–varying discrete–time linear systems
title_full Positivity and stability of fractional descriptor time–varying discrete–time linear systems
title_fullStr Positivity and stability of fractional descriptor time–varying discrete–time linear systems
title_full_unstemmed Positivity and stability of fractional descriptor time–varying discrete–time linear systems
title_sort positivity and stability of fractional descriptor time–varying discrete–time linear systems
publisher Sciendo
series International Journal of Applied Mathematics and Computer Science
issn 2083-8492
publishDate 2016-03-01
description The Weierstrass–Kronecker theorem on the decomposition of the regular pencil is extended to fractional descriptor time-varying discrete-time linear systems. A method for computing solutions of fractional systems is proposed. Necessary and sufficient conditions for the positivity of these systems are established.
topic fractional system
descriptor system
time-varying system
positive system
discrete-time system
url https://doi.org/10.1515/amcs-2016-0001
work_keys_str_mv AT kaczorektadeusz positivityandstabilityoffractionaldescriptortimevaryingdiscretetimelinearsystems
_version_ 1717769970677448704

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