Controllability and observability behaviors of a non-homogeneous conformable fractional dynamical system compatible with some electrical applications

Controllability and observability behaviors of a non-homogeneous conformable fractional dynamical system compatible with some electrical applications

In this work, we discuss the controllability and observability behaviors of a non-homogeneous conformable fractional dynamical system (C-FDS) based on the conformable fractional exponential matrix (C-FEM) and fractional Grammian matrix (FGM). Moreover, the nice relationships between controllability,...

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Autor principal: Zeyad Al-Zhour
Formato: article
Lenguaje:EN
Publicado: Elsevier 2022
Materias:
26A33
15A30
37N20
94C05.
Engineering (General). Civil engineering (General)
TA1-2040
Acceso en línea:https://doaj.org/article/2902399cf025487c84f66910f6811bce
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spelling oai:doaj.org-article:2902399cf025487c84f66910f6811bce2021-11-18T04:45:51ZControllability and observability behaviors of a non-homogeneous conformable fractional dynamical system compatible with some electrical applications1110-016810.1016/j.aej.2021.07.018https://doaj.org/article/2902399cf025487c84f66910f6811bce2022-02-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S1110016821004877https://doaj.org/toc/1110-0168In this work, we discuss the controllability and observability behaviors of a non-homogeneous conformable fractional dynamical system (C-FDS) based on the conformable fractional exponential matrix (C-FEM) and fractional Grammian matrix (FGM). Moreover, the nice relationships between controllability, observability, and stability for non-homogeneous C-FDS are derived. To demonstrate the effectiveness of our obtained results, we present the general solutions (GSs), controllability, observabilities and stabilities to three attractive physical and engineering problems related to compatibility with conformable fractional electrical circuits (C-FECs). Finally, the fractional and classical behaviors of each problem have been covered, respectively, when α = 12 and α = 1.Zeyad Al-ZhourElsevierarticle26A3315A3037N2094C05.Engineering (General). Civil engineering (General)TA1-2040ENAlexandria Engineering Journal, Vol 61, Iss 2, Pp 1055-1067 (2022)
institution DOAJ
collection DOAJ
language EN
topic 26A33
15A30
37N20
94C05.
Engineering (General). Civil engineering (General)
TA1-2040
spellingShingle 26A33
15A30
37N20
94C05.
Engineering (General). Civil engineering (General)
TA1-2040
Zeyad Al-Zhour
Controllability and observability behaviors of a non-homogeneous conformable fractional dynamical system compatible with some electrical applications
description In this work, we discuss the controllability and observability behaviors of a non-homogeneous conformable fractional dynamical system (C-FDS) based on the conformable fractional exponential matrix (C-FEM) and fractional Grammian matrix (FGM). Moreover, the nice relationships between controllability, observability, and stability for non-homogeneous C-FDS are derived. To demonstrate the effectiveness of our obtained results, we present the general solutions (GSs), controllability, observabilities and stabilities to three attractive physical and engineering problems related to compatibility with conformable fractional electrical circuits (C-FECs). Finally, the fractional and classical behaviors of each problem have been covered, respectively, when α = 12 and α = 1.
format article
author Zeyad Al-Zhour
author_facet Zeyad Al-Zhour
author_sort Zeyad Al-Zhour
title Controllability and observability behaviors of a non-homogeneous conformable fractional dynamical system compatible with some electrical applications
title_short Controllability and observability behaviors of a non-homogeneous conformable fractional dynamical system compatible with some electrical applications
title_full Controllability and observability behaviors of a non-homogeneous conformable fractional dynamical system compatible with some electrical applications
title_fullStr Controllability and observability behaviors of a non-homogeneous conformable fractional dynamical system compatible with some electrical applications
title_full_unstemmed Controllability and observability behaviors of a non-homogeneous conformable fractional dynamical system compatible with some electrical applications
title_sort controllability and observability behaviors of a non-homogeneous conformable fractional dynamical system compatible with some electrical applications
publisher Elsevier
publishDate 2022
url https://doaj.org/article/2902399cf025487c84f66910f6811bce
work_keys_str_mv AT zeyadalzhour controllabilityandobservabilitybehaviorsofanonhomogeneousconformablefractionaldynamicalsystemcompatiblewithsomeelectricalapplications
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