On the Controllability of Conformable Fractional Deterministic Control Systems in Finite Dimensional Spaces

On the Controllability of Conformable Fractional Deterministic Control Systems in Finite Dimensional Spaces

In this paper, we establish a set of convenient conditions of controllability for semilinear fractional finite dimensional control systems involving conformable fractional derivative. Indeed, sufficient conditions of controllability for a semilinear conformable fractional system are presented, assum...

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Main Authors: Maher Jneid, Muath Awadalla
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2020/9026973
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spelling doaj-11436307fa934248a3d84028274a2f2d2020-11-25T02:50:25ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252020-01-01202010.1155/2020/90269739026973On the Controllability of Conformable Fractional Deterministic Control Systems in Finite Dimensional SpacesMaher Jneid0Muath Awadalla1Departement of Mathematics and Computer Science, Faculty of Science, Beirut Arab University, Beirut, LebanonDepartement of Mathematics and Statistics, King Faisal University, Al-Ahsaa, Hufuf, Saudi ArabiaIn this paper, we establish a set of convenient conditions of controllability for semilinear fractional finite dimensional control systems involving conformable fractional derivative. Indeed, sufficient conditions of controllability for a semilinear conformable fractional system are presented, assuming that the corresponding linear systems are controllable. The present method is based on conformable fractional exponential matrix, Gramian matrix, and the iterative technique. Two illustrated examples are carried out to establish the facility and efficiency of this technique.http://dx.doi.org/10.1155/2020/9026973
collection DOAJ
language English
format Article
sources DOAJ
author Maher Jneid
Muath Awadalla
spellingShingle Maher Jneid
Muath Awadalla
On the Controllability of Conformable Fractional Deterministic Control Systems in Finite Dimensional Spaces
International Journal of Mathematics and Mathematical Sciences
author_facet Maher Jneid
Muath Awadalla
author_sort Maher Jneid
title On the Controllability of Conformable Fractional Deterministic Control Systems in Finite Dimensional Spaces
title_short On the Controllability of Conformable Fractional Deterministic Control Systems in Finite Dimensional Spaces
title_full On the Controllability of Conformable Fractional Deterministic Control Systems in Finite Dimensional Spaces
title_fullStr On the Controllability of Conformable Fractional Deterministic Control Systems in Finite Dimensional Spaces
title_full_unstemmed On the Controllability of Conformable Fractional Deterministic Control Systems in Finite Dimensional Spaces
title_sort on the controllability of conformable fractional deterministic control systems in finite dimensional spaces
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2020-01-01
description In this paper, we establish a set of convenient conditions of controllability for semilinear fractional finite dimensional control systems involving conformable fractional derivative. Indeed, sufficient conditions of controllability for a semilinear conformable fractional system are presented, assuming that the corresponding linear systems are controllable. The present method is based on conformable fractional exponential matrix, Gramian matrix, and the iterative technique. Two illustrated examples are carried out to establish the facility and efficiency of this technique.
url http://dx.doi.org/10.1155/2020/9026973
work_keys_str_mv AT maherjneid onthecontrollabilityofconformablefractionaldeterministiccontrolsystemsinfinitedimensionalspaces
AT muathawadalla onthecontrollabilityofconformablefractionaldeterministiccontrolsystemsinfinitedimensionalspaces
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