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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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2020/9026973 |
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| _version_ | 1832568547437445120 |
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| author | Maher Jneid Muath Awadalla |
| author_facet | Maher Jneid Muath Awadalla |
| author_sort | Maher Jneid |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-11436307fa934248a3d84028274a2f2d |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-11436307fa934248a3d84028274a2f2d2025-02-03T00:58:48ZengWileyInternational 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2020/9026973 |
| work_keys_str_mv | AT maherjneid onthecontrollabilityofconformablefractionaldeterministiccontrolsystemsinfinitedimensionalspaces AT muathawadalla onthecontrollabilityofconformablefractionaldeterministiccontrolsystemsinfinitedimensionalspaces |