Optimal bilinear control of an abstract Schrodinger equation

被引：42
|
作者：
Ito, Kazufumi
Kunisch, Karl
机构：
[1] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
[2] Karl Franzens Univ Graz, Inst Math & Sci Comp, A-8010 Graz, Austria
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2007年 / 46卷 / 01期
关键词：
Schrodinger equation; C-0-groups; optimal control; optimality systems; monotone scheme;
D O I：
10.1137/05064254X
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Well-posedness of abstract quantum mechanical systems is considered and the existence of optimal control of such systems is proved. First order optimality systems are derived. Convergence of the monotone scheme for the solution of the optimality system is proved.
引用
收藏
页码：274 / 287
页数：14
相关论文
共 50 条
  • [1] Bilinear optimal control of a Schrodinger equation
    Cancès, E
    Le Bris, C
    Pilot, M
    [J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 2000, 330 (07): : 567 - 571
  • [2] Optimal bilinear control of the logarithmic Schrodinger equation
    Wang, Kai
    Zhao, Dun
    Feng, Binhua
    [J]. 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
    [J]. 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
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2005, 216 (01) : 188 - 222
  • [5] LOCAL EXACT BILINEAR CONTROL OF THE SCHRODINGER EQUATION
    Puel, Jean-Pierre
    [J]. 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
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2019, 57 (05) : 3193 - 3222
  • [7] Bilinear optimal control for a wave equation
    Liang, M
    [J]. 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
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2019, 47 : 142 - 167
  • [9] OPTIMAL BOUNDARY CONTROL FOR A SCHRODINGER EQUATION
    Subasi, Murat
    Sener, Sidika Sule
    [J]. PACIFIC JOURNAL OF OPTIMIZATION, 2014, 10 (01): : 243 - 254
  • [10] OPTIMAL NONLINEARITY CONTROL OF SCHRODINGER EQUATION
    Wang, Kai
    Zhao, Dun
    Feng, Binhua
    [J]. EVOLUTION EQUATIONS AND CONTROL THEORY, 2018, 7 (02): : 317 - 334
12345