Minimal time for the bilinear control of Schrödinger equations
暂无分享,去创建一个
Karine Beauchard | Jean-Michel Coron | Holger Teismann | J. Coron | H. Teismann | K. Beauchard | Holger Teismann
[1] Mario Sigalotti,et al. On some open questions in bilinear quantum control , 2013, 2013 European Control Conference (ECC).
[2] U. Boscain,et al. Multi-input Schrödinger equation: Controllability, tracking, and application to the quantum angular momentum , 2013, 1302.4173.
[3] Karine Beauchard,et al. Local controllability of 1D Schrödinger equations with bilinear control and minimal time , 2012, 1208.5393.
[4] Nabile Boussaid,et al. Small time reachable set of bilinear quantum systems , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).
[5] Mario Sigalotti,et al. A Weak Spectral Condition for the Controllability of the Bilinear Schrödinger Equation with Application to the Control of a Rotating Planar Molecule , 2011, ArXiv.
[6] R'emi Carles,et al. Nonlinear Schrodinger equation with time dependent potential , 2009, 0910.4893.
[7] Mario Sigalotti,et al. Generic controllability properties for the bilinear Schrödinger equation , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.
[8] Mario Sigalotti,et al. Controllability of the discrete-spectrum Schrödinger equation driven by an external field , 2008, 0801.4893.
[9] Andrei A. Agrachev,et al. An estimation of the controllability time for single-input systems on compact Lie Groups , 2006 .
[10] H. Teismann,et al. Generalized coherent states and the control of quantum systems , 2005 .
[11] Mazyar Mirrahimi,et al. Controllability of quantum harmonic oscillators , 2004, IEEE Transactions on Automatic Control.
[12] T. Tarn,et al. Quantum Systems , 2010 .
[13] D. D’Alessandro,et al. Small time controllability of systems on compact Lie groups and spin angular momentum , 2001 .
[14] A. Trifonov,et al. Semiclassical Trajectory-Coherent Approximation in Quantum Mechanics I. High-Order Corrections to Multidimensional Time-Dependent Equations of Schrödinger Type , 1996 .
[15] V. Belov,et al. Quasiclassical trajectory-coherent states of an anharmonic oscillator , 1993 .
[16] V. Belov,et al. The Aharonov-Bohm effect for nonstationary quasiclassical trajectory-coherent states in a uniform magnetic field , 1992 .
[17] V. Bagrov,et al. Quasiclassical trajectory‐coherent states of a particle in an arbitrary electromagnetic field , 1983 .
[18] T. Tarn,et al. On the controllability of quantum‐mechanical systems , 1983 .
[19] D. Fujiwara. A construction of the fundamental solution for the Schrödinger equation , 1979 .
[20] R. Brockett. Lie Theory and Control Systems Defined on Spheres , 1973 .
[21] Stephen P. Boyd,et al. Antagonistic control , 2016, Syst. Control. Lett..
[22] D. Robert. PROPAGATION OF COHERENT STATES IN QUANTUM MECHANICS AND APPLICATIONS , 2006 .
[23] Jean-Michel Coron,et al. Partial Differential Equations / Optimal Control On the small-time local controllability of a quantum particle in a moving one-dimensional infinite square potential well , 2005 .