State-constrained optimal control for the phase-field transition system

被引:13
|
作者
Morosanu, C. [1 ]
Wang, G.
机构
[1] Alexandru Ioan Cuza Univ, Dept Math, Iasi 6600, Romania
[2] Huazhong Normal Univ, Dept Math, Wuhan 430070, Peoples R China
基金
中国国家自然科学基金;
关键词
finite element method; gradient method; maximum principle; optimal control; phase-field transition system; state constraint;
D O I
10.1080/01630560701250119
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper deals with the existence and necessary optimality conditions for an optimal control problem governed by a phase-field transition system. The one-point boundary (time variable) state condition is considered. A numerical algorithm of gradient type and numerical implementation are reported, too.
引用
收藏
页码:379 / 403
页数:25
相关论文
共 50 条
  • [1] State-constrained optimal control of phase-field equations with obstacle
    Zheng, Jiashan
    Liu, Junjun
    Liu, Hao
    BOUNDARY VALUE PROBLEMS, 2013,
  • [2] State-constrained optimal control of phase-field equations with obstacle
    Jiashan Zheng
    Junjun Liu
    Hao Liu
    Boundary Value Problems, 2013
  • [3] State-constrained optimal control in Hilbert space
    Wang, GS
    Wang, LJ
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2001, 22 (01) : 255 - 276
  • [4] Convexifying State-Constrained Optimal Control Problem
    Lee, Donggun
    Deka, Shankar A.
    Tomlin, Claire J.
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2023, 68 (09) : 5608 - 5615
  • [5] The optimal time control of a phase-field system
    Wang, LJ
    Wang, GS
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2003, 42 (04) : 1483 - 1508
  • [6] State-Constrained Optimal Spatial Field Control for Controlled Release in Tissue Engineering
    Kishida, Masako
    Pack, Daniel W.
    Braatz, Richard D.
    2010 AMERICAN CONTROL CONFERENCE, 2010, : 4361 - 4366
  • [7] On controllability of trajectories in state-constrained optimal control problems
    Arutyunov A.V.
    Chernikova N.Yu.
    Journal of Mathematical Sciences, 2001, 103 (6) : 664 - 669
  • [8] Smoothers for control- and state-constrained optimal control problems
    Borzi, Alfio
    COMPUTING AND VISUALIZATION IN SCIENCE, 2008, 11 (01) : 59 - 66
  • [9] SOME REMARKS ON STATE-CONSTRAINED OPTIMAL CONTROL PROBLEMS
    LITT, FX
    LEITMANN, G
    INTERNATIONAL JOURNAL OF CONTROL, 1973, 17 (01) : 81 - 96
  • [10] OPTIMAL DISTRIBUTED CONTROL FOR A COUPLED PHASE-FIELD SYSTEM
    Chen, Bosheng
    Li, Huilai
    Liu, Changchun
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 27 (03): : 1789 - 1825