Eigenvalue assignment in fractional descriptor discrete-time linear systems

The problem of eigenvalue assignment in fractional descriptor discrete-time linear systems is considered. Necessary and sufficient conditions for the existence of a solution to the problem are established. A procedure for computation of the gain matrices is given and illustrated by a numerical examp...

Full description

Bibliographic Details
Main Authors: Kaczorek Tadeusz, Borawski Kamil
Format: Article
Language:English
Published: Polish Academy of Sciences 2017-03-01
Series:Archives of Control Sciences
Subjects:
Online Access:http://www.degruyter.com/view/j/acsc.2017.27.issue-1/acsc-2017-0007/acsc-2017-0007.xml?format=INT
id doaj-a5086d5a36e249f19dd3138cc3c459b3
record_format Article
spelling doaj-a5086d5a36e249f19dd3138cc3c459b32020-11-25T03:37:51ZengPolish Academy of SciencesArchives of Control Sciences2300-26112017-03-0127111912810.1515/acsc-2017-0007acsc-2017-0007Eigenvalue assignment in fractional descriptor discrete-time linear systemsKaczorek Tadeusz0Borawski Kamil1Bialystok University of Technology, Faculty of Electrical Engineering, Wiejska 45D, 15-351 Bialystok, PolandBialystok University of Technology, Faculty of Electrical Engineering, Wiejska 45D, 15-351 Bialystok, PolandThe problem of eigenvalue assignment in fractional descriptor discrete-time linear systems is considered. Necessary and sufficient conditions for the existence of a solution to the problem are established. A procedure for computation of the gain matrices is given and illustrated by a numerical example.http://www.degruyter.com/view/j/acsc.2017.27.issue-1/acsc-2017-0007/acsc-2017-0007.xml?format=INTeigenvalue assignmentfractionaldescriptordiscrete time linear systemgain matrix
collection DOAJ
language English
format Article
sources DOAJ
author Kaczorek Tadeusz
Borawski Kamil
spellingShingle Kaczorek Tadeusz
Borawski Kamil
Eigenvalue assignment in fractional descriptor discrete-time linear systems
Archives of Control Sciences
eigenvalue assignment
fractional
descriptor
discrete time linear system
gain matrix
author_facet Kaczorek Tadeusz
Borawski Kamil
author_sort Kaczorek Tadeusz
title Eigenvalue assignment in fractional descriptor discrete-time linear systems
title_short Eigenvalue assignment in fractional descriptor discrete-time linear systems
title_full Eigenvalue assignment in fractional descriptor discrete-time linear systems
title_fullStr Eigenvalue assignment in fractional descriptor discrete-time linear systems
title_full_unstemmed Eigenvalue assignment in fractional descriptor discrete-time linear systems
title_sort eigenvalue assignment in fractional descriptor discrete-time linear systems
publisher Polish Academy of Sciences
series Archives of Control Sciences
issn 2300-2611
publishDate 2017-03-01
description The problem of eigenvalue assignment in fractional descriptor discrete-time linear systems is considered. Necessary and sufficient conditions for the existence of a solution to the problem are established. A procedure for computation of the gain matrices is given and illustrated by a numerical example.
topic eigenvalue assignment
fractional
descriptor
discrete time linear system
gain matrix
url http://www.degruyter.com/view/j/acsc.2017.27.issue-1/acsc-2017-0007/acsc-2017-0007.xml?format=INT
work_keys_str_mv AT kaczorektadeusz eigenvalueassignmentinfractionaldescriptordiscretetimelinearsystems
AT borawskikamil eigenvalueassignmentinfractionaldescriptordiscretetimelinearsystems
_version_ 1724543441309794304