Exact controllability of thermoelastic plate equation with memory

被引：0

作者：

Liu, Ruijuan ^{[1
]}

Chai, Shugen ^{[1
]}

Cao, Xiaomin ^{[1
]}

机构：

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2019年 / 42卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Coupled system; Exact controllability; Gurtin-Pipkin equation; Plate equation; HEAT-CONDUCTION; SYSTEMS;

D O I：

10.1002/mma.5514

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider exact control problem for a coupled system of plate with Gurtin-Pipkin equation. Using duality arguments, the problem is reduced to the obtention of suitable observability estimates for the dual system. Firstly, we obtain the observability inequality of the dual system by means of multiplier method. Then, we prove that the system is exactly controllable based on the Hilbert Unique Method.

引用

页码：2369 / 2378

页数：10

共 50 条

[31] Exact Controllability of the Wave Equation on Graphs
Avdonin, Sergei
Zhao, Yuanyuan
APPLIED MATHEMATICS AND OPTIMIZATION, 2022, 85 (02):
[32] Global exact controllability of a semilinear thermoelastic system of analytic character
Avalos, G
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2003, : 416 - 420
[33] Exact/approximate controllability of thermoelastic plates with variable thermal coefficients
Eller, M
Lasiecka, I
Triggiani, R
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2001, 7 (02) : 283 - 302
[34] PARTIAL EXACT CONTROLLABILITY FOR INHOMOGENEOUS MULTIDIMENSIONAL THERMOELASTIC DIFFUSION PROBLEM
Aouadi, Moncef
Boulehmi, Kaouther
EVOLUTION EQUATIONS AND CONTROL THEORY, 2016, 5 (02): : 201 - 224
[35] On a thermoelastic plate equation in an exterior domain
Enomoto, Y
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2002, 25 (06) : 443 - 472
[36] On well-posedness, regularity and exact controllability for problems of transmission of plate equation with variable coefficients
Guo, Bao-Zhu
Shao, Zhi-Chao
QUARTERLY OF APPLIED MATHEMATICS, 2007, 65 (04) : 705 - 736
[37] PARTIAL REACHABILITY OF A THERMOELASTIC PLATE WITH MEMORY
Gamboa, Pedro
Komornik, Vilmos
Vera, Octavio
QUARTERLY OF APPLIED MATHEMATICS, 2016, 74 (02) : 235 - 243
[38] A remark on null exact controllability of the heat equation
Zhang, X
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2001, 40 (01) : 39 - 53
[39] On the exact controllability of a nonlinear stochastic heat equation
Ton, Bui An
ABSTRACT AND APPLIED ANALYSIS, 2006,
[40] Wavelet filtering for exact controllability of the wave equation
Negreanu, M.
Matache, A. -M.
Schwab, C.
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2006, 28 (05): : 1851 - 1885

← 1 2 3 4 5 →