Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/28113
Title: | Enlarged controllability and optimal control of sub-diffusion processes with Caputo fractional derivatives |
Author: | Karite, Touria Boutoulout, Ali Torres, Delfim F. M. |
Keywords: | Fractional calculus and diffusion Caputo derivatives and enlarged controllability RHUM approach and minimum energy Fractional optimal control Zone and pointwise actuators |
Issue Date: | Apr-2020 |
Publisher: | Natural Sciences Publishing (NSP) |
Abstract: | We investigate the exact enlarged controllability and optimal control of a fractional diffusion equation in Caputo sense. This is done through a new definition of enlarged controllability that allows us to extend available contributions. Moreover, the problem is studied using two approaches: a reverse Hilbert uniqueness method, generalizing the approach introduced by Lions in 1988, and a penalization method, which allow us to characterize the minimum energy control. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/28113 |
DOI: | 10.18576/pfda/060201 |
ISSN: | 2356-9336 |
Appears in Collections: | CIDMA - Artigos DMat - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[444]Karite_Boutoulout_Torres-PFDA.pdf | 358.4 kB | Adobe PDF | View/Open |
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