Boundary Stabilization of Equilibrium Solutions to Parabolic Equations

被引:42
作者
Barbu, Viorel [1 ,2 ]
机构
[1] Romanian Acad, Octav Mayer Inst Math, Iasi 700056, Romania
[2] Alexandru Ioan Cuza Univ, Iasi 700056, Romania
关键词
Dirichlet boundary; Neumann boundary; NAVIER-STOKES EQUATIONS; FEEDBACK STABILIZATION; STABILIZABILITY;
D O I
10.1109/TAC.2013.2254013
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this note, a stabilizing feedback boundary controller for the equilibrium solutions to parabolic equations with Dirichlet boundary control is designed. The feedback controller is expressed in terms of the eigenfunctions phi(j) corresponding to unstable eigenvalues {lambda(j)}(j=1)(N) of the linearized equation. For d = 1, this stabilizing procedure is applicable for N = 1 only, while for d > 1 it is of conditional nature requiring the independence of partial derivative phi(j)/partial derivative n on the part of the boundary where the control is applied.
引用
收藏
页码:2416 / 2420
页数:5
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