Multiparameter Fractional Difference Linear Control Systems

Multiparameter Fractional Difference Linear Control Systems

The Riemann-Liouville-, Caputo-, and Grünwald-Letnikov-type fractional order difference operators are discussed and used to state and solve the controllability and observability problems of linear fractional order discrete-time control systems with multiorder and multistep. It is shown that the obta...

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Main Author: Dorota Mozyrska
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2014/183782
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spelling doaj-385d4215382741d4a8270ec4b037b1ce2020-11-25T01:05:11ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/183782183782Multiparameter Fractional Difference Linear Control SystemsDorota Mozyrska0Faculty of Computer Science, Bialystok University of Technology, Wiejska 45A, 15-351 Bialystok, PolandThe Riemann-Liouville-, Caputo-, and Grünwald-Letnikov-type fractional order difference operators are discussed and used to state and solve the controllability and observability problems of linear fractional order discrete-time control systems with multiorder and multistep. It is shown that the obtained results do not depend on the type of fractional operators and steps. The comparison of systems is made under the number of steps needed, firstly to achieve a final point, and secondly to distinguish initial conditions for particular operator.http://dx.doi.org/10.1155/2014/183782
collection DOAJ
language English
format Article
sources DOAJ
author Dorota Mozyrska
spellingShingle Dorota Mozyrska
Multiparameter Fractional Difference Linear Control Systems
Discrete Dynamics in Nature and Society
author_facet Dorota Mozyrska
author_sort Dorota Mozyrska
title Multiparameter Fractional Difference Linear Control Systems
title_short Multiparameter Fractional Difference Linear Control Systems
title_full Multiparameter Fractional Difference Linear Control Systems
title_fullStr Multiparameter Fractional Difference Linear Control Systems
title_full_unstemmed Multiparameter Fractional Difference Linear Control Systems
title_sort multiparameter fractional difference linear control systems
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2014-01-01
description The Riemann-Liouville-, Caputo-, and Grünwald-Letnikov-type fractional order difference operators are discussed and used to state and solve the controllability and observability problems of linear fractional order discrete-time control systems with multiorder and multistep. It is shown that the obtained results do not depend on the type of fractional operators and steps. The comparison of systems is made under the number of steps needed, firstly to achieve a final point, and secondly to distinguish initial conditions for particular operator.
url http://dx.doi.org/10.1155/2014/183782
work_keys_str_mv AT dorotamozyrska multiparameterfractionaldifferencelinearcontrolsystems
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