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arXiv · 1911.10199

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

Touria Karite·Ali Boutoulout·Delfim F. M. Torres
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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.

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Touria Karite, Ali Boutoulout, Delfim F. M. Torres. 2019-11-24. Enlarged Controllability and Optimal Control of Sub-Diffusion Processes with Caputo Fractional Derivatives. https://doi.org/10.18576/pfda%2F060201

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