Optimal controls of multidimensional modified Swift-Hohenberg equation

被引：12
|
作者：
Zheng, Jiashan [1 ,2 ]
机构：
[1] Ludong Univ, Sch Math & Stat, Yantai 264025, Peoples R China
[2] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
来源：
INTERNATIONAL JOURNAL OF CONTROL | 2015年 / 88卷 / 10期
关键词：
optimal control; modified Swift-Hohenberg equation; optimality condition; 35K57; 49J20; 49J30; CAHN-HILLIARD EQUATION; INSTABILITY; SYSTEM; MODEL;
D O I：
10.1080/00207179.2015.1038587
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we deal with the optimal control problem governed by multidimensional modified Swift-Hohenberg equation. After showing the relationship between the control problem and its approximation, we derive the optimality conditions for an optimal control of our original problem by using one of the approximate problems.
引用
收藏
页码：2117 / 2125
页数：9
相关论文
共 50 条
  • [41] Dynamics of phase domains in the Swift-Hohenberg equation
    Staliunas, K
    Sanchez-Morcillo, VJ
    PHYSICS LETTERS A, 1998, 241 (1-2) : 28 - 34
  • [42] Interfaces between rolls in the Swift-Hohenberg equation
    Haragus, Mariana
    Scheel, Arnd
    INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS, 2007, 1 (02) : 89 - 97
  • [43] On Classical Solutions for a Swift-Hohenberg Type Equation
    Coclite, Giuseppe Maria
    di Ruvo, Lorenzo
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2025, 22 (01)
  • [44] Swift-Hohenberg equation with broken reflection symmetry
    Burke, J.
    Houghton, S. M.
    Knobloch, E.
    PHYSICAL REVIEW E, 2009, 80 (03):
  • [45] To Snake or Not to Snake in the Planar Swift-Hohenberg Equation
    Avitabile, Daniele
    Lloyd, David J. B.
    Burke, John
    Knobloch, Edgar
    Sandstede, Bjoern
    SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2010, 9 (03): : 704 - 733
  • [46] Domain dynamics in the anisotropic Swift-Hohenberg equation
    Ouchi, K
    Fujisaka, H
    PHYSICAL REVIEW E, 2004, 70 (03):
  • [47] Localized radial solutions of the Swift-Hohenberg equation
    Lloyd, David J. B.
    Sandstede, Bjoern
    NONLINEARITY, 2009, 22 (02) : 485 - 524
  • [48] Spatiotemporal stochastic resonance in the Swift-Hohenberg equation
    Vilar, JMG
    Rubi, JM
    PHYSICAL REVIEW LETTERS, 1997, 78 (15) : 2886 - 2889
  • [49] EFFECTS OF EXTERNAL NOISE ON THE SWIFT-HOHENBERG EQUATION
    GARCIAOJALVO, J
    HERNANDEZMACHADO, A
    SANCHO, JM
    PHYSICAL REVIEW LETTERS, 1993, 71 (10) : 1542 - 1545
  • [50] Some canonical bifurcations in the Swift-Hohenberg equation
    Peletier, L. A.
    Williams, J. F.
    SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2007, 6 (01): : 208 - 235
12345