Exact controllability of Naghdi shells

被引:0
|
作者
Miara, Bernadette [1 ]
Perla, Gustavo [2 ,3 ]
机构
[1] Univ Paris Est, Ecole Super Ingn Electrotech & Elect, Dept Modelisat & Simulat Numer, F-93160 Noisy Le Grand, France
[2] Natl Lab Sci Computat LNCC MCT, BR-25651070 Petropolis, RJ, Brazil
[3] Univ Fed Rio de Janeiro, Inst Math, Rio De Janeiro, Brazil
关键词
D O I
10.1016/j.crma.2009.12.019
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We consider the second order evolution equations of the displacement and rotation fields in any points of the middle surface of a shell in Naghdi's formulation. We establish that, with two controls, the exact controllability on part of the lateral boundary is achieved under the sufficient geometrical condition that the middle surface of the shell is "not too far" from a plane in a sense that is made more precise in the proof. (C) 2010 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
引用
收藏
页码:341 / 346
页数:6
相关论文
共 50 条
  • [21] On exact controllability of semilinear systems
    Bashirov, Agamirza E.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (09) : 7455 - 7462
  • [22] EXACT CONTROLLABILITY OF A THIN SHELL
    GEYMONAT, G
    LORETI, P
    VALENTE, V
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1991, 313 (02): : 81 - 86
  • [23] Optimal networks for exact controllability
    Liao, Yunhua
    Maama, Mohamed
    Aziz-Alaoui, M. A.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2020, 31 (10):
  • [24] EXACT CONTROLLABILITY IN THE PRESENCE OF DAMPING
    TRIGGIANI, R
    MODERN OPTIMAL CONTROL: A CONFERENCE IN HONOR OF SOLOMON LEFSCHETZ AND JOSEPH P LASALLE, 1989, 119 : 377 - 387
  • [25] Exact controllability of multiplex networks
    Yuan, Zhengzhong
    Zhao, Chen
    Wang, Wen-Xu
    Di, Zengru
    Lai, Ying-Cheng
    NEW JOURNAL OF PHYSICS, 2014, 16
  • [26] EXACT CONTROLLABILITY IN MINIMAL TIME
    KOMORNIK, V
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1987, 304 (09): : 223 - 225
  • [27] EXACT CONTROLLABILITY OF DISTRIBUTED SYSTEMS
    LIONS, JL
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1986, 302 (13): : 471 - 475
  • [28] Exact controllability of complex networks
    Zhengzhong Yuan
    Chen Zhao
    Zengru Di
    Wen-Xu Wang
    Ying-Cheng Lai
    Nature Communications, 4
  • [29] EXACT CONTROLLABILITY OF BURGER EQUATION
    ELBADIA, A
    SEBA, BA
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1992, 314 (05): : 373 - 378
  • [30] Exact controllability of the Schrodinger equation
    Aassila, M
    APPLIED MATHEMATICS AND COMPUTATION, 2003, 144 (01) : 89 - 106