Local exact bilinear control of the Schrödinger equation

DOI10.1051/cocv/2016049zbMath1354.35126OpenAlexW2473597972MaRDI QIDQ2835359

Jean-Pierre Puel

Publication date: 2 December 2016

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/cocv/2016049

zbMATH Keywords

Schrödinger equationbilinear control

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Smoothness and regularity of solutions to PDEs (35B65) Spectral theory and eigenvalue problems for partial differential equations (35P99) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (6)

Rapid stabilization of a linearized bilinear 1-D Schrödinger equation ⋮ On the bilinear control of the Gross-Pitaevskii equation ⋮ Local controllability of the bilinear 1D Schrödinger equation with simultaneous estimates ⋮ Quadratic behaviors of the 1D linear Schrödinger equation with bilinear control ⋮ Small-time local controllability of the bilinear Schrödinger equation with a nonlinear competition ⋮ Controllability of a 2D quantum particle in a time-varying disc with radial data

Cites Work

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• A regularity property for Schrödinger equations on bounded domains
• Local controllability of 1D linear and nonlinear Schrödinger equations with bilinear control
• A systematic method for building smooth controls for smooth data
• Control of the Schrödinger equation
• Local exact controllability of the \(2D\)-Schrödinger-Poisson system
• Local controllability of a 1-D Schrödinger equation
• Fast and strongly localized observation for the Schrödinger equation
• Controllability for Distributed Bilinear Systems
• Exact Controllability for the Schrödinger Equation

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