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Article Dans Une Revue Systems and Control Letters Année : 2008

Constructive solution of a bilinear optimal control problem for a Schrödinger equation

Résumé

Often considered in numerical simulations related to the control of quantum systems, the so-called monotonic schemes have not been so far much studied from the functional analysis point of view. Yet, these procedures provide an efficient constructive method for solving a certain class of optimal control problems. This paper aims both at extending the results already available about these algorithms in the finite dimensional case (i.e., the time-discretized case) and at completing those of the continuous case. This paper starts with some results about the regularity of a functional related to a wide class of model in quantum chemistry. Those enable us to extend an inequality due to

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Dates et versions

hal-00271940 , version 1 (10-04-2008)

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Lucie Baudouin, Julien Salomon. Constructive solution of a bilinear optimal control problem for a Schrödinger equation. Systems and Control Letters, 2008, 57 (6), pp. 453-464; 150. ⟨hal-00271940⟩
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