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|Title:||Enlarged controllability and optimal control of sub-diffusion processes with Caputo fractional derivatives|
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
|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.|
|Appears in Collections:||CIDMA - Artigos|
DMat - Artigos
SCG - Artigos
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|Karite_Boutoulout_Torres-PFDA.pdf||358.4 kB||Adobe PDF||View/Open|
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