APPROXIMATE CONTROLLABILITY OF EULER-BERNOULLI VISCOELASTIC SYSTEMS

被引：0
|
作者：
Yang, Zhifeng [1 ,2 ]
Feng, Zhaosheng [3 ]
机构：
[1] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Hunan, Peoples R China
[2] Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hunan 421002, Peoples R China
[3] Univ Texas Rio Grande Valley, Dept Math, Edinburg, TX 78539 USA
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年
基金：
美国国家科学基金会;
关键词：
Euler-Bernoulli viscoelastic system; approximate controllability; duality principle; Hahn-Banach theorem; HEAT-EQUATIONS; MEMORY; DECAY;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we study an Euler-Bernoulli viscoelastic control system which is dissipative due to the presence of the viscoelastic term. The main feature which distinguishes this paper from other related works lies in the fact that we no longer impose traditional conditions such as complete monotonicity and decay property on the kernel function g. Without loss of generality, we study the system in the case of g 1. By means of the duality principle and the Hahn-Banach theorem, we show that the system with g = 1 is approximately controllable in the appropriate function space.
引用
收藏
页数：16
相关论文
共 50 条
  • [41] Dynamics of a Euler-Bernoulli beam on nonlinear viscoelastic foundations: a parameter space analysis
    Soares, Gilson V.
    Ladeira, Denis G.
    Oliveira, Adelcio C.
    JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING, 2020, 42 (11)
  • [42] On the moving load problem in Euler-Bernoulli uniform beams with viscoelastic supports and joints
    Di Lorenzo, Salvatore
    Di Paola, Mario
    Failla, Giuseppe
    Pirrotta, Antonina
    ACTA MECHANICA, 2017, 228 (03) : 805 - 821
  • [43] ANALYTIC APPROXIMATE SOLUTION FOR LARGE DEFLECTIONS OF RELATIVE LONG EULER-BERNOULLI BEAMS
    WINK, M
    INGENIEUR ARCHIV, 1974, 43 (05): : 287 - 294
  • [44] Study of nonlinear vibration of Euler-Bernoulli beams by using analytical approximate techniques
    Bagheri, S.
    Nikkar, A.
    Ghaffarzadeh, H.
    LATIN AMERICAN JOURNAL OF SOLIDS AND STRUCTURES, 2014, 11 (01): : 157 - 168
  • [45] Exact controllability of nonselfadjoint Euler-Bernoulli beam model via spectral decomposition method
    Shubov, Marianna A.
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2008, 25 (02) : 185 - 204
  • [46] ANALYSIS OF NATURAL FREQUENCIES OF A CRACKED VISCOELASTIC EULER-BERNOULLI BEAM BASED ON EQUIVALENT VISCOELASTIC SPRING MODELS
    Fu, Chao
    Yang, Xiao
    UPB Scientific Bulletin, Series D: Mechanical Engineering, 2023, 85 (01): : 3 - 14
  • [47] Spectrum of a network of Euler-Bernoulli beams
    Mercier, D.
    Regnier, V.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 337 (01) : 174 - 196
  • [48] Control of a network of Euler-Bernoulli beams
    Mercier, D.
    Regnier, V.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 342 (02) : 874 - 894
  • [49] New Interpretation of the Euler-Bernoulli Equation
    Filipovic, Mirjana
    Vukobratovic, Miomir
    2008 6TH INTERNATIONAL SYMPOSIUM ON INTELLIGENT SYSTEMS AND INFORMATICS, 2008, : 321 - 326
  • [50] Feedback stabiligation of euler-bernoulli becan
    Inst of Systems Science Academia, Sinica, Beijing, China
    Zidonghua Xuebao/Acta Automatica Sinica, 1996, 22 (02): : 135 - 144
12345