On the Energy Decay of a Nonhomogeneous Hybrid System of Elasticity

被引:0
|
作者
Aouragh, Moulay Driss [1 ]
El Boukili, Abderrahman [2 ]
机构
[1] Moulay Ismail Univ, Dept Maths, M2I Lab, MAMCS Grp,FST, Errachidia, Morocco
[2] Moulay Ismail Univ, Dept Phys, FST, Errachidia, Morocco
关键词
Euler-Bernoulli beam; Boundary control; Stabilization; Riesz basis; RIESZ BASIS PROPERTY; EXPONENTIAL STABILITY;
D O I
10.1007/978-3-030-35202-8_3
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper, we study the boundary stabilizing feedback control problem of well-known Scole model that has nonhomogeneous spatial parameters. By using an abstract result of Riesz basis, we show that the closed-loop system is a Riesz spectral system. The asymptotic distribution of eigenvalues, the spectrum-determinded growth condition and the exponential stability are concluded.
引用
收藏
页码:33 / 51
页数:19
相关论文
共 50 条
  • [31] Elasticity solution for a radially nonhomogeneous hollow circular cylinder
    Zhang, XZ
    Hasebe, N
    JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1999, 66 (03): : 598 - 606
  • [32] A boundary element method solution for anisotropic nonhomogeneous elasticity
    Maria S. Nerantzaki
    Chris B. Kandilas
    Acta Mechanica, 2008, 200 : 199 - 211
  • [33] STABILIZATION OF A HYBRID SYSTEM OF ELASTICITY BY FEEDBACK BOUNDARY DAMPING
    LITTMAN, W
    MARKUS, L
    ANNALI DI MATEMATICA PURA ED APPLICATA, 1988, 152 : 281 - 330
  • [34] ON THE DECAY CONDITIONS AND THE LIMIT BEHAVIOR AT THE INFINITY OF SOLUTIONS TO A SYSTEM OF ELASTICITY EQUATIONS
    OLEINIK, OA
    IOSIFIAN, GA
    DOKLADY AKADEMII NAUK SSSR, 1981, 258 (03): : 550 - 553
  • [36] Decay of solutions in nonhomogeneous thermoelastic diffusion bars
    Boulehmi, Kaouther
    Aouadi, Moncef
    APPLICABLE ANALYSIS, 2014, 93 (02) : 281 - 304
  • [37] DECAY OF TEMPERATURE VARIANCE IN THE PRESENCE OF NONHOMOGENEOUS STRAIN
    RAHAI, HR
    LARUE, JC
    JOURNAL OF FLUIDS ENGINEERING-TRANSACTIONS OF THE ASME, 1992, 114 (02): : 155 - 160
  • [38] Modelling of turbulence energy decay based on hybrid methods
    Abdibekova, Aigerim
    Zhakebayev, Dauren
    Abdigaliyeva, Akmaral
    Zhubat, Kuanysh
    ENGINEERING COMPUTATIONS, 2018, 35 (05) : 1965 - 1977
  • [39] Research on Frequency Elasticity Enhancement Method of Mining Area Power Grid Based on Hybrid Energy Storage System
    Zhong R.
    Teng S.
    Liang R.
    Shen X.
    Dianwang Jishu/Power System Technology, 2019, 43 (07): : 2291 - 2298
  • [40] INTEGRAL REPRESENTATIONS FOR A NONHOMOGENEOUS REGION IN COUPLE STRESS THEORY OF ELASTICITY
    CHOWDHURY, KL
    DHALIWAL, RS
    APPLIED SCIENTIFIC RESEARCH, 1972, 27 (2-3): : 133 - 144