Fractional Vector-Order h-Realisation of the Impulse Response Function

The problem of realisation of linear control systems with the h–difference of Caputo-, Riemann–Liouville- and Grünwald–Letnikov-type fractional vector-order operators is studied. The problem of existing minimal realisation is discussed.

Bibliographic Details
Main Author:	Pawłuszewicz Ewa
Format:	Article
Language:	English
Published:	Sciendo 2020-06-01
Series:	Acta Mechanica et Automatica
Subjects:	realisation linear system fractional vector-order system h – markov parameters
Online Access:	https://doi.org/10.2478/ama-2020-0016

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spelling	doaj-8476542adfda42f5819fb5909757c8212021-09-06T19:41:07ZengSciendoActa Mechanica et Automatica 2300-53192020-06-0114210811310.2478/ama-2020-0016ama-2020-0016Fractional Vector-Order h-Realisation of the Impulse Response FunctionPawłuszewicz Ewa0Faculty of Mechanical Engineering, Department of Mechatronics Systems and Robotics, Bialystok University of Technology, Wiejska 45c, 15-351Białystok, PolandThe problem of realisation of linear control systems with the h–difference of Caputo-, Riemann–Liouville- and Grünwald–Letnikov-type fractional vector-order operators is studied. The problem of existing minimal realisation is discussed.https://doi.org/10.2478/ama-2020-0016realisationlinear systemfractional vector-order systemh – markov parameters
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Pawłuszewicz Ewa
spellingShingle	Pawłuszewicz Ewa Fractional Vector-Order h-Realisation of the Impulse Response Function Acta Mechanica et Automatica realisation linear system fractional vector-order system h – markov parameters
author_facet	Pawłuszewicz Ewa
author_sort	Pawłuszewicz Ewa
title	Fractional Vector-Order h-Realisation of the Impulse Response Function
title_short	Fractional Vector-Order h-Realisation of the Impulse Response Function
title_full	Fractional Vector-Order h-Realisation of the Impulse Response Function
title_fullStr	Fractional Vector-Order h-Realisation of the Impulse Response Function
title_full_unstemmed	Fractional Vector-Order h-Realisation of the Impulse Response Function
title_sort	fractional vector-order h-realisation of the impulse response function
publisher	Sciendo
series	Acta Mechanica et Automatica
issn	2300-5319
publishDate	2020-06-01
description	The problem of realisation of linear control systems with the h–difference of Caputo-, Riemann–Liouville- and Grünwald–Letnikov-type fractional vector-order operators is studied. The problem of existing minimal realisation is discussed.
topic	realisation linear system fractional vector-order system h – markov parameters
url	https://doi.org/10.2478/ama-2020-0016
work_keys_str_mv	AT pawłuszewiczewa fractionalvectororderhrealisationoftheimpulseresponsefunction
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Fractional Vector-Order h-Realisation of the Impulse Response Function

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