Please use this identifier to cite or link to this item:
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
DOI: 10.18576/pfda/060201
ISSN: 2356-9336
Appears in Collections:CIDMA - Artigos
DMat - Artigos
SCG - Artigos

Files in This Item:
File Description SizeFormat 
[444]Karite_Boutoulout_Torres-PFDA.pdf358.4 kBAdobe PDFView/Open

Formato BibTex MendeleyEndnote Degois 

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.