A remark on null exact controllability of the heat equation

被引：30
|
作者：
Zhang, X [1 ]
机构：
[1] Sichuan Univ, Sch Math, Chengdu 610064, Peoples R China
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2001年 / 40卷 / 01期
关键词：
controllability; singular perturbation; heat equation; wave equation;
D O I：
10.1137/S0363012900371691
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
It is well known that the heat equation u(t)-Deltau=f chi (omega) in (0,T) x Omega with homogeneous Dirichlet boundary conditions is null exactly controllable for any T > 0 and any open nonempty subset of. In this note we show that this property may be obtained as a singular limit of the exact controllability properties of singularly perturbed damped wave equations with a changing controller.
引用
收藏
页码：39 / 53
页数：15
相关论文
共 50 条
  • [1] Application of the exact null controllability of the heat equation to moving sets
    Molinaro, Thierry Horsin
    [J]. COMPTES RENDUS MATHEMATIQUE, 2006, 342 (11) : 849 - 852
  • [2] Null controllability of the heat equation as singular limit of the exact controllability of dissipative wave equations
    López, A
    Zhang, X
    Zuazua, E
    [J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2000, 79 (08): : 741 - 808
  • [3] EXACT NULL INTERNAL CONTROLLABILITY FOR THE HEAT EQUATION ON UNBOUNDED CONVEX DOMAINS
    Barbu, Viorel
    [J]. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2014, 20 (01) : 222 - 235
  • [4] On the null controllability of heat equation with memory
    Tao, Qiang
    Gao, Hang
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 440 (01) : 1 - 13
  • [5] ON EXACT NULL CONTROLLABILITY OF BLACK-SCHOLES EQUATION
    Sakthivel, Kumarasamy
    Balachandran, Krishnan
    Sowrirajan, Rangarajan
    Kim, Jeong-Hoon
    [J]. KYBERNETIKA, 2008, 44 (05) : 685 - 704
  • [6] Exact Controllability of the Superlinear Heat Equation
    V. Barbu
    [J]. Applied Mathematics & Optimization, 2000, 42 : 73 - 89
  • [7] Exact controllability of the superlinear heat equation
    Barbu, V
    [J]. APPLIED MATHEMATICS AND OPTIMIZATION, 2000, 42 (01): : 73 - 89
  • [8] Null controllability of the heat equation using flatness
    Martin, Philippe
    Rosier, Lionel
    Rouchon, Pierre
    [J]. AUTOMATICA, 2014, 50 (12) : 3067 - 3076
  • [9] Null controllability for the dissipative semilinear heat equation
    Anita, S
    Tataru, D
    [J]. APPLIED MATHEMATICS AND OPTIMIZATION, 2002, 46 (2-3): : 97 - 105
  • [10] Null Controllability for the Dissipative Semilinear Heat Equation
    [J]. Applied Mathematics & Optimization, 2002, 46 : 97 - 105
12345