Controllability of time-varying fractional dynamical systems
| Autor: | S. M. Sivalingam, M. Vellappandi, V. Govindaraj, Ibrahim Alraddadi, Faisal Alsharif, Hijaz Ahmad |
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| Jazyk: | angličtina |
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Journal of Taibah University for Science, Vol 18, Iss 1 (2024) |
| Druh dokumentu: | article |
| ISSN: | 16583655 1658-3655 |
| DOI: | 10.1080/16583655.2024.2399378 |
| Popis: | The aim of this article is to investigate the controllability results for the time-varying fractional dynamical systems with the presence of the Caputo-type fractional derivative. The Bourdin state transition matrix is used to form the solution for the time-varying fractional dynamical system. The classical Grammian matrix-based technique is utilized to derive the controllability results for time-varying linear systems, and the controllability of the proposed nonlinear type system is established by utilizing the well-known Arzela-Ascoli theorem and Schauder's fixed point theorem. The main motivation for this study is to develop the controllability results for time-varying fractional dynamical systems represented by the Caputo fractional derivative. Several numerical examples are provided to validate and illustrate the applicability of the theoretical results. |
| Databáze: | Directory of Open Access Journals |
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