Controllability in projection of the simple spectrum bilinear Schrödinger equation
نویسندگان
چکیده
We consider the bilinear Schrödinger equation with several controls and simplespectrum drift. Under some regularity assumptions on the control operators and generic conditions on the controllability of the Galerkin approximations we show exact controllability in projection on the first n given eigenstates, n ∈ N arbitrary. Our methods rely on Lie-algebraic control techniques applied to the Galerkin approximations coupled with classical topological arguments issuing from degree theory.
منابع مشابه
Exact controllability in projections of the bilinear Schrödinger equation∗
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 ap...
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