Boundary stabilization of the phase field system by finite-dimensional feedback controllers

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:412

Article

Munteanu, Ionut^1,2 

[1] Romanian Acad, Octav Mayer Inst Math, Iasi 700506, Romania

[2] Alexandru Ioan Cuza Univ, Dept Math, Iasi 700506, Romania

关键词: Phase field system;    Stabilization;    Boundary feedback controller;    Eigenfunctions of the Laplace operator;   

DOI  :  10.1016/j.jmaa.2013.11.018

来源: Elsevier

【 摘 要 】

We design here finite-dimensional stabilizing feedback Dirichlet boundary controllers for steady-state solutions to the phase field system. The feedback controllers are easily manageable from computational point of view since they are expressed in terms of the eigenfunctions {phi(j)}(j=1)(N), N N,. corresponding to the eigenvalues {lambda(j)}(j=1)(N) of the Laplace operator in Omega subset of R-q, q = 2,3. The stabilizing algorithm, we 'develop here, is applicable under the assumption that the system {partial derivative phi(j)/partial derivative n}(j=1)(N) is linearly independent on the part of the boundary where the control is applied. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free