Bilinear optimal control of a Schrodinger equation

被引：25
|
作者：
Cancès, E
Le Bris, C
Pilot, M
机构：
[1] Ecole Natl Ponts & Chaussees, Cermics, F-77455 Marne La Vallee, France
[2] Ecole Normale Super, F-75230 Paris 05, France
来源：
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 2000年 / 330卷 / 07期
关键词：
D O I：
10.1016/S0764-4442(00)00227-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study in this Note a bilinear optimal control problem for a Schrodinger equation with a nonlinearity of Hartree type, which models the behaviour of an atom subjected to an electric field. We show that the time-dependent equation is well posed and that there exists an optimal control. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.
引用
收藏
页码：567 / 571
页数：5
相关论文
共 50 条
  • [1] Optimal bilinear control of an abstract Schrodinger equation
    Ito, Kazufumi
    Kunisch, Karl
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2007, 46 (01) : 274 - 287
  • [2] Optimal bilinear control of the logarithmic Schrodinger equation
    Wang, Kai
    Zhao, Dun
    Feng, Binhua
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (05) : 5370 - 5394
  • [3] Constructive solution of a bilinear optimal control problem for a Schrodinger equation
    Baudouin, Lucie
    Salomon, Julien
    SYSTEMS & CONTROL LETTERS, 2008, 57 (06) : 453 - 464
  • [4] Regularity for a Schrodinger equation with singular potentials and application to bilinear optimal control
    Baudouin, L
    Kavian, O
    Puel, JP
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2005, 216 (01) : 188 - 222
  • [5] LOCAL EXACT BILINEAR CONTROL OF THE SCHRODINGER EQUATION
    Puel, Jean-Pierre
    ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2016, 22 (04) : 1264 - 1281
  • [6] OPTIMAL BILINEAR CONTROL FOR THE X-RAY FREE ELECTRON LASER SCHRODINGER EQUATION
    Feng, Binhua
    ZhaO, Dun
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2019, 57 (05) : 3193 - 3222
  • [7] Bilinear optimal control for a wave equation
    Liang, M
    MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 1999, 9 (01): : 45 - 68
  • [8] Optimal bilinear control of the coupled nonlinear Schrodinger system
    Wang, Kai
    Zhao, Dun
    Feng, Binhua
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2019, 47 : 142 - 167
  • [9] OPTIMAL BOUNDARY CONTROL FOR A SCHRODINGER EQUATION
    Subasi, Murat
    Sener, Sidika Sule
    PACIFIC JOURNAL OF OPTIMIZATION, 2014, 10 (01): : 243 - 254
  • [10] OPTIMAL NONLINEARITY CONTROL OF SCHRODINGER EQUATION
    Wang, Kai
    Zhao, Dun
    Feng, Binhua
    EVOLUTION EQUATIONS AND CONTROL THEORY, 2018, 7 (02): : 317 - 334
12345