Numerical Solution of Fractional Control Problems via Fractional Differential Transformation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26620%2F18%3APU128931" target="_blank" >RIV/00216305:26620/18:PU128931 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1109/EECS.2017.29" target="_blank" >http://dx.doi.org/10.1109/EECS.2017.29</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/EECS.2017.29" target="_blank" >10.1109/EECS.2017.29</a>
Alternative languages
Result language
angličtina
Original language name
Numerical Solution of Fractional Control Problems via Fractional Differential Transformation
Original language description
In the paper we deal with linear fractional control problems with constant delays in the state. Single-order systems with fractional derivative in Caputo sense of orders between 0 and 1 are considered. The aim is to introduce a new algorithm convenient for numerical approximation of a solution of the studied problem. The method consists of the fractional differential transformation in combination with general methods of steps. The original system is transformed to a system of recurrence relations. Approximation of the solution is given in the form of truncated fractional power series. The choice of order of the fractional power series is discussed and the order is determined in relation to the order of the system. An application on a two-dimensional fractional system is shown. Exact solution is found for the first two intervals of the method of steps. The result for Caputo derivative of order 1 coincides with the solution of first-order system with classical derivative. We conclude that the algorithm is applicable, efficient and gives reliable results.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
<a href="/en/project/GA16-08549S" target="_blank" >GA16-08549S: Dynamical Systems Identification on Time Scales</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Proceedings of European Conference on Electrical Engineering and Computer Science 2017
ISBN
978-1-5386-2085-4
ISSN
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e-ISSN
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Number of pages
5
Pages from-to
107-111
Publisher name
Neuveden
Place of publication
Neuveden
Event location
Bern
Event date
Nov 17, 2017
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
000455867600021