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Enlarged Controllability and Optimal Control of Sub-Diffusion Processes with Caputo Fractional Derivatives |
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PP: 81-93 |
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doi:10.18576/pfda/060201
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Author(s) |
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Touria Karite,
Ali Boutoulout,
Delfim F. M. Torres,
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Abstract |
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| The present paper investigates 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 explored using two approaches: a reverse Hilbert uniqueness method, generalizing the approach introduced by Lions in 1988, and a penalization method, which allows us to characterize the minimum energy control.
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