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Journal Articles SIAM Journal on Control and Optimization Year : 2018

Exact controllability in projections of the bilinear Schrödinger equation

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Abstract

We consider the bilinear Schrödinger equation with discrete-spectrum drift. We show, for n ∈ N arbitrary, exact controllability in projections on the first n given eigenstates. The controllability result relies on a generic controllability hypothesis on some associated finite-dimensional approximations. The method is based on Lie-algebraic control techniques applied to the finite-dimensional approximations coupled with classical topological arguments issuing from degree theory.
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Dates and versions

hal-01509971 , version 1 (19-04-2017)
hal-01509971 , version 2 (12-05-2017)
hal-01509971 , version 3 (18-05-2018)

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Cite

Marco Caponigro, Mario Sigalotti. Exact controllability in projections of the bilinear Schrödinger equation. SIAM Journal on Control and Optimization, 2018, 56, ⟨10.1137/17M1126424⟩. ⟨hal-01509971v3⟩
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