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Null controllability of heat equation with switching controls under Robin's boundary condition
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Date
2016-04-01
Author
Hamidoglu, Ali
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In this paper, we consider the null controllability of 1-d heat equation endowed with Robin's boundary conditions, when the operator - d(2)/dx(2) has positive eigenvalues and try to find sufficient conditions for building switching controls. In [1], the author developed a first analysis of this problem with Dirichlet's boundary conditions and obtain sufficient conditions for switching controls. We firstly consider 1-d heat system endowed with two controls. Then we try to build switching control strategies guaranteeing that, at each instant of time, only one control is activated.
Subject Keywords
Heat equation
,
Robin's boundary condition
,
Variational approach
,
Switching control
URI
https://hdl.handle.net/11511/64035
Journal
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
DOI
https://doi.org/10.15672/hjms.20164512501
Collections
Department of Mathematics, Article