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Your search keyword '"Caponigro, Marco"' showing total 2 results
2 results on '"Caponigro, Marco"'

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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2. Weakly Coupled Systems in Quantum Control.

Author

Boussaid, Nabile, Caponigro, Marco, and Chambrion, Thomas

Subjects
*COUPLED mode theory (Wave-motion), *QUANTUM theory, *SCHRODINGER equation, *APPROXIMATION theory, *GALERKIN methods, *DISCRETE systems
Abstract

Weakly coupled systems are a class of infinite dimensional conservative bilinear control systems with discrete spectrum. An important feature of these systems is that they can be precisely approached by finite dimensional Galerkin approximations. This property is of particular interest for the approximation of quantum system dynamics and the control of the bilinear Schrödinger equation. The present study provides rigorous definitions and analysis of the dynamics of weakly coupled systems and gives sufficient conditions for an infinite dimensional quantum control system to be weakly coupled. As an illustration we provide examples chosen among common physical systems. [ABSTRACT FROM AUTHOR]

Published
2013
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