Enlarged Controllability and Optimal Control of Sub-Diffusion Processes with Caputo Fractional Derivatives
Optimization and Control
2020-03-31 v1 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.1911.10199,
title = {Enlarged Controllability and Optimal Control of Sub-Diffusion Processes with Caputo Fractional Derivatives},
author = {Touria Karite and Ali Boutoulout and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1911.10199},
year = {2020}
}
Comments
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