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http://hdl.handle.net/10773/35427
Title: | Weak Pontryagin’s maximum principle for optimal control problems involving a general analytic kernel |
Author: | Ndaïrou, Faïçal Torres, Delfim F. M. |
Keywords: | Fractional operators with general analytical kernels Optimal control problems Pontryagin extremals Calculus of variations Isoperimetric problems |
Issue Date: | 2023 |
Publisher: | Academic Press (imprint of Elsevier) |
Abstract: | We prove a duality relation and an integration by parts formula for fractional operators with a general analytical kernel. Based on these basic results, we are able to prove a new Gr ̈onwall’s inequality and continuity and differentiability of solutions of control differential equations. This allow us to obtain a weak version of Pontryagin’s maximum principle. Moreover, our approach also allow us to consider mixed problems with both integer and fractional order operators and derive necessary optimality conditions for isoperimetric variational problems and other problems of the calculus of variations. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/35427 |
DOI: | 10.1016/B978-0-32-390953-2.00023-2 |
ISBN: | 978-0-323-90953-2 |
Publisher Version: | https://doi.org/10.1016/B978-0-32-390953-2.00023-2 |
Appears in Collections: | CIDMA - Capítulo de livro SCG - Capítulo de livro |
Files in This Item:
File | Description | Size | Format | |
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[489]Ndairou_Torres.pdf | 197.75 kB | Adobe PDF |
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