Enlarged Controllability and Optimal Control of Sub-Diffusion Processes with Caputo Fractional Derivatives

Autor:	Karite, Touria, Boutoulout, Ali, Torres, Delfim F. M.
Rok vydání:	2019
Předmět:	Mathematics - Optimization and Control Mathematics - Analysis of PDEs
Zdroj:	Progr. Fract. Differ. Appl. 6 (2020), no. 2, 81--93
Druh dokumentu:	Working Paper
DOI:	10.18576/pfda/060201
Popis:	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. Comment: This is a preprint of a paper whose final and definite form is with 'Prog. Frac. Diff. Appl. [See http://dx.doi.org/10.18576/pfda]. Submitted 4-Nov-2018; Revised 16-Nov-2019; Accepted 22-Nov-2019. Includes minor corrections detected during the reading of proofs
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1911.10199 Zobrazit plný text záznamu View this record from Arxiv