Minimum energy control of fractional descriptor positive discrete-time linear systems

Minimum energy control of fractional descriptor positive discrete-time linear systems

Necessary and sufficient conditions for the positivity and reachability of fractional descriptor positive discrete-time linear systems are established. The minimum energy control problem for descriptor positive systems is formulated and solved. Sufficient conditions for the existence of a solution t...

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Main Author: Kaczorek Tadeusz
Format: Article
Language:English
Published: Sciendo 2014-12-01
Series:International Journal of Applied Mathematics and Computer Science
Subjects:
fractional system
descriptor system
positive system
minimum energy control
Online Access:https://doi.org/10.2478/amcs-2014-0054
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spelling doaj-819f905c08834195a09588b3951960442021-09-06T19:41:08ZengSciendoInternational Journal of Applied Mathematics and Computer Science2083-84922014-12-0124473574310.2478/amcs-2014-0054amcs-2014-0054Minimum energy control of fractional descriptor positive discrete-time linear systemsKaczorek Tadeusz0Faculty of Electrical Engineering Białystok University of Technology, ul. Wiejska 45D, 15-351 Białystok, PolandNecessary and sufficient conditions for the positivity and reachability of fractional descriptor positive discrete-time linear systems are established. The minimum energy control problem for descriptor positive systems is formulated and solved. Sufficient conditions for the existence of a solution to the minimum energy control problem are given. A procedure for computation of optimal input sequences and a minimal value of the performance index is proposed and illustrated by a numerical example.https://doi.org/10.2478/amcs-2014-0054fractional systemdescriptor systempositive systemminimum energy control
collection DOAJ
language English
format Article
sources DOAJ
author Kaczorek Tadeusz
spellingShingle Kaczorek Tadeusz
Minimum energy control of fractional descriptor positive discrete-time linear systems
International Journal of Applied Mathematics and Computer Science
fractional system
descriptor system
positive system
minimum energy control
author_facet Kaczorek Tadeusz
author_sort Kaczorek Tadeusz
title Minimum energy control of fractional descriptor positive discrete-time linear systems
title_short Minimum energy control of fractional descriptor positive discrete-time linear systems
title_full Minimum energy control of fractional descriptor positive discrete-time linear systems
title_fullStr Minimum energy control of fractional descriptor positive discrete-time linear systems
title_full_unstemmed Minimum energy control of fractional descriptor positive discrete-time linear systems
title_sort minimum energy control of fractional descriptor positive discrete-time linear systems
publisher Sciendo
series International Journal of Applied Mathematics and Computer Science
issn 2083-8492
publishDate 2014-12-01
description Necessary and sufficient conditions for the positivity and reachability of fractional descriptor positive discrete-time linear systems are established. The minimum energy control problem for descriptor positive systems is formulated and solved. Sufficient conditions for the existence of a solution to the minimum energy control problem are given. A procedure for computation of optimal input sequences and a minimal value of the performance index is proposed and illustrated by a numerical example.
topic fractional system
descriptor system
positive system
minimum energy control
url https://doi.org/10.2478/amcs-2014-0054
work_keys_str_mv AT kaczorektadeusz minimumenergycontroloffractionaldescriptorpositivediscretetimelinearsystems
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