A monotonic method for nonlinear optimal control problems with concave dependence on the state
暂无分享,去创建一个
[1] Herschel A Rabitz,et al. Quantum Optimally Controlled Transition Landscapes , 2004, Science.
[2] G. Burton. Sobolev Spaces , 2013 .
[3] Yvon Maday,et al. New formulations of monotonically convergent quantum control algorithms , 2003 .
[4] Yann Brenier,et al. A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem , 2000, Numerische Mathematik.
[5] Friedrich,et al. Alignment and trapping of molecules in intense laser fields. , 1995, Physical review letters.
[6] Dominique Sugny,et al. Field-free molecular orientation by nonresonant and quasiresonant two-color laser pulses , 2008 .
[7] P. Lions,et al. Mean field games , 2007 .
[8] Jacques-Louis Lions,et al. Mathematical Analysis and Numerical Methods for Science and Technology: Volume 5 Evolution Problems I , 1992 .
[9] P. Bucksbaum,et al. Controlling the shape of a quantum wavefunction , 1999, Nature.
[10] David J. Tannor,et al. Loading a Bose-Einstein condensate onto an optical lattice: An application of optimal control theory to the nonlinear Schrödinger equation , 2002 .
[11] H Rabitz,et al. Selective Bond Dissociation and Rearrangement with Optimally Tailored, Strong-Field Laser Pulses , 2001, Science.
[12] Herschel Rabitz,et al. Uniform, rapidly convergent algorithm for quantum optimal control of objectives with a positive semidefinite Hessian matrix , 1998 .
[13] Hédy Attouch,et al. On the convergence of the proximal algorithm for nonsmooth functions involving analytic features , 2008, Math. Program..
[14] H. Rabitz,et al. RAPIDLY CONVERGENT ITERATION METHODS FOR QUANTUM OPTIMAL CONTROL OF POPULATION , 1998 .
[15] A. Lachapelle,et al. COMPUTATION OF MEAN FIELD EQUILIBRIA IN ECONOMICS , 2010 .
[16] Yukiyoshi Ohtsuki,et al. Monotonically convergent algorithms for solving quantum optimal control problems of a dynamical system nonlinearly interacting with a control , 2008 .
[17] David J. Tannor,et al. Laser cooling of internal degrees of freedom. II , 1997 .
[18] William H. Press,et al. Numerical recipes in C , 2002 .
[19] Herschel Rabitz,et al. A RAPID MONOTONICALLY CONVERGENT ITERATION ALGORITHM FOR QUANTUM OPTIMAL CONTROL OVER THE EXPECTATION VALUE OF A POSITIVE DEFINITE OPERATOR , 1998 .
[20] Yuichi Fujimura,et al. Control of quantum dynamics by a locally optimized laser field. Application to ring puckering isomerization , 1994 .
[21] D. Sugny,et al. Monotonically convergent optimal control theory of quantum systems under a nonlinear interaction with the control field , 2008, 0905.4867.
[22] Yukiyoshi Ohtsuki,et al. Non-Markovian effects on quantum optimal control of dissipative wave packet dynamics , 2003 .
[23] F. M. Kirillova,et al. Optimal Feedback Control , 1995 .
[24] Gabriel Turinici,et al. Generalized monotonically convergent algorithms for solving quantum optimal control problems. , 2004, The Journal of chemical physics.
[25] Yvon Maday,et al. Monotonic Parareal Control for Quantum Systems , 2007, SIAM J. Numer. Anal..
[26] Kompa,et al. Whither the future of controlling quantum phenomena? , 2000, Science.
[27] Julien Salomon,et al. A monotonic algorithm for the optimal control of the Fokker-Planck equation , 2008, 2008 47th IEEE Conference on Decision and Control.
[28] Herschel Rabitz,et al. Monotonically convergent algorithms for solving quantum optimal control problems described by an integrodifferential equation of motion , 2007 .
[29] J. Lions. Optimal Control of Systems Governed by Partial Differential Equations , 1971 .
[30] P. Lions,et al. Jeux à champ moyen. I – Le cas stationnaire , 2006 .
[31] S. G. Schirmer,et al. Efficient Algorithm for Optimal Control of Mixed-State Quantum Systems , 1999 .
[32] H Rabitz,et al. Coherent control of quantum dynamics: the dream is alive. , 2008, Science.
[33] Michihiko Sugawara,et al. General formulation of locally designed coherent control theory for quantum system , 2003 .
[34] Kazufumi Ito,et al. Optimal Bilinear Control of an Abstract Schrödinger Equation , 2007, SIAM J. Control. Optim..
[35] Herschel Rabitz,et al. Monotonically convergent algorithm for quantum optimal control with dissipation , 1999 .
[36] C. DeWitt-Morette,et al. Mathematical Analysis and Numerical Methods for Science and Technology , 1990 .
[37] P. Lions,et al. Jeux à champ moyen. II – Horizon fini et contrôle optimal , 2006 .
[38] Julien Salomon,et al. Optimal molecular alignment and orientation through rotational ladder climbing. , 2005, The Journal of chemical physics.
[39] Jean-David Benamou,et al. Mixed L2-Wasserstein Optimal Mapping Between Prescribed Density Functions , 2001 .
[40] David J. Tannor,et al. Control of Photochemical Branching: Novel Procedures for Finding Optimal Pulses and Global Upper Bounds , 1992 .