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1. EXACT CONTROLLABILITY IN PROJECTIONS OF THE BILINEAR SCHRÖDINGER EQUATION.

Author

CAPONIGRO, MARCO and SIGALOTTI, MARIO

Subjects
*NUMERICAL analysis, *GALERKIN methods, *APPROXIMATION theory, *CONTROLLABILITY in systems engineering, *PARTIAL differential equations
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. [ABSTRACT FROM AUTHOR]

Published
2018
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