Constrained fractional variational problems of variable order
| Autor: | Tavares, Dina, Almeida, Ricardo, Torres, Delfim F. M. |
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| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | IEEE/CAA Journal of Automatica Sinica 4 (2017), no. 1, 80--88 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1109/JAS.2017.7510331 |
| Popis: | Isoperimetric problems consist in minimizing or maximizing a cost functional subject to an integral constraint. In this work, we present two fractional isoperimetric problems where the Lagrangian depends on a combined Caputo derivative of variable fractional order and we present a new variational problem subject to a holonomic constraint. We establish necessary optimality conditions in order to determine the minimizers of the fractional problems. The terminal point in the cost integral, as well the terminal state, are considered to be free, and we obtain corresponding natural boundary conditions. Comment: This is a preprint of a paper whose final and definite form will appear in the IEEE/CAA Journal of Automatica Sinica, ISSN 2329-9266. Submitted 05-Sept-2015; Revised 19-April-2016; Accepted 22-June-2016 |
| Databáze: | arXiv |
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