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

页数：16

共 50 条

[21] On a Novel Approximate Solution to the Inhomogeneous Euler-Bernoulli Equation with an Application to Aeroelastics
Fleischmann, Dominique
Konozsy, Laszlo
AEROSPACE, 2021, 8 (11)
[22] A finite element approximation to a viscoelastic Euler-Bernoulli beam with internal damping
Li, Yiqun
Wang, Hong
MATHEMATICS AND COMPUTERS IN SIMULATION, 2023, 212 : 138 - 158
[23] Existence and energy decay of solutions for the Euler-Bernoulli viscoelastic equation with a delay
Yang, Zhifeng
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2015, 66 (03): : 727 - 745
[24] BLOW-UP FOR THE EULER-BERNOULLI VISCOELASTIC EQUATION WITH A NONLINEAR SOURCE
Yang, Zhifeng
Fan, Guobing
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
[25] Stabilization of the viscoelastic Euler-Bernoulli type equation with a local nonlinear dissipation
Ha, Tae Gab
Park, Jong Yeoul
DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2009, 6 (04) : 335 - 366
[26] Identification of the viscoelastic boundary conditions of Euler-Bernoulli beams using transmissibility
Qiao, Guandong
Rahmatalla, Salam
ENGINEERING REPORTS, 2019, 1 (05)
[27] Boundary controllability of a chain of serially connected Euler-Bernoulli beams with interior masses
Denis Mercier
Virginie Régnier
Collectanea mathematica, 2009, 60 : 307 - 334
[28] PROPERTIES OF THE EULER-BERNOULLI BEAM EQUATION AND THE KIRCHOFF PLATE EQUATION RELATED TO CONTROLLABILITY
LITTMAN, W
PROCEEDINGS OF THE 28TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-3, 1989, : 2286 - 2286
[29] Boundary controllability of a chain of serially connected Euler-Bernoulli beams with interior masses
Mercier, Denis
Regnier, Virginie
COLLECTANEA MATHEMATICA, 2009, 60 (03) : 307 - 334
[30] Exact controllability for a coupled system of N Euler-Bernoulli plates with variable coefficients
Yang, Fengyan
Yao, Pengfei
PROCEEDINGS OF THE 38TH CHINESE CONTROL CONFERENCE (CCC), 2019, : 1135 - 1140

← 1 2 3 4 5 →