CROSS-LIKE INTERNAL OBSERVABILITY OF RECTANGULAR MEMBRANES

被引:8
|
作者
Komornik, Vilmos [1 ]
Miara, Bernadette [2 ]
机构
[1] Univ Strasbourg, Dept Math, F-67084 Strasbourg, France
[2] Univ Paris Est, F-77454 Marne La Vallee, France
来源
关键词
Observability; Fourier series; membrane; Ingham type theorem; EXACT CONTROLLABILITY; STABILIZATION;
D O I
10.3934/eect.2014.3.135
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We present a new way to establish internal observability results for the wave equation. Our method is based on some variants of Ingham's theorem on nonharmonic Fourier series, due to Loreti, Valente and Mehrenberger.
引用
收藏
页码:135 / 146
页数:12
相关论文
共 50 条
  • [1] OBSERVABILITY OF RECTANGULAR MEMBRANES AND PLATES ON SMALL SETS
    Komornik, Vilmos
    Loreti, Paola
    EVOLUTION EQUATIONS AND CONTROL THEORY, 2014, 3 (02): : 287 - 304
  • [2] Cross-like lattices with tailorable mechanical properties
    Yang, Nan
    Deng, Yong
    Mao, Zhongfa
    Wang, Suian
    Niu, Xiaodong
    Wu, Nan
    MATERIALS LETTERS, 2020, 281 (281)
  • [3] Cross-like terahertz metamaterial absorber for sensing applications
    Cumali Sabah
    Batuhan Mulla
    Hakan Altan
    Lutfi Ozyuzer
    Pramana, 2018, 91
  • [4] Synthesis of Oligophenylsiloxanes with Cross-Like Structures from Wollastonite
    Esteban Jaramillo-Ruiz, Daniel
    Ramirez-Velez, Alejandro
    SILICON, 2023, 15 (06) : 2921 - 2930
  • [5] Numerical and experimental study of strip cross-like parachutes
    Gimadiev, PS
    Kurinskaya, VP
    Mikhailovskii, YV
    IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII AVIATSIONAYA TEKHNIKA, 1997, (01): : 6 - 11
  • [6] Cross-like terahertz metamaterial absorber for sensing applications
    Sabah, Cumali
    Mulla, Batuhan
    Altan, Hakan
    Ozyuzer, Lutfi
    PRAMANA-JOURNAL OF PHYSICS, 2018, 91 (02):
  • [7] Focusing specification of cross-like Fresnel zone plate
    Sabatyan, Arash
    Rafighdoost, Jila
    OPTIK, 2015, 126 (24): : 4796 - 4799
  • [8] Synthesis of Oligophenylsiloxanes with Cross-Like Structures from Wollastonite
    Daniel Esteban Jaramillo-Ruiz
    Alejandro Ramirez-Velez
    Silicon, 2023, 15 : 2921 - 2930
  • [9] SENSITIVITY TO CROSS-LIKE FIGURES IN THE CAT STRIATE NEURONS
    SHEVELEV, IA
    NOVIKOVA, RV
    LAZAREVA, NA
    TIKHOMIROV, AS
    SHARAEV, GA
    NEUROSCIENCE, 1995, 69 (01) : 51 - 57
  • [10] Cross-like cubic ZnxMg1-xO nanostructures
    Wang, Feng
    Chen, Yong
    Li, Dehui
    Lu, Bin
    Ye, Zhizhen
    Lu, Jianguo
    JOURNAL OF PHYSICS D-APPLIED PHYSICS, 2013, 46 (05)