Entitled approximate controllability of the heat equation
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Date
2019
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Publisher
Université Oum El Bouaghi
Abstract
The objective of this thesis is to study the approximate controllability with constraints on the control of the heat equation. To demonstrate the approximate controllability, it suffices to use Hahn Banach theorem and notice that the orthogonal of the set of reachable states at the moment t=0 is reduced to zero. Finally we adapted the method of duality (primal-dual) of Fenchel-Rockafellar to characterize the optimal control.
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Keywords
Optimal control, Heat equation, Approximate controllability, Penalization method