Exact controllability in projections of the bilinear Schrödinger equation

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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https://hal.inria.fr/hal-01509971
Contributor : Marco Caponigro <>
Submitted on : Friday, May 18, 2018 - 4:31:18 PM
Last modification on : Wednesday, May 15, 2019 - 3:43:56 AM

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  • HAL Id : hal-01509971, version 3

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Marco Caponigro, Mario Sigalotti. Exact controllability in projections of the bilinear Schrödinger equation. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2018, 56. ⟨hal-01509971v3⟩

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