Null controllability of heat equation with switching controls under Robin’s boundary condition

Year 2016, Volume: 45 Issue: 2, 373 - 379, 01.04.2016

Ali Hamidoğlu

Abstract

In this paper, we consider the null controllability of 1-d heat equation
endowed with Robin’s boundary conditions, when the operator −
d
2
dx2
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. 

Keywords

Heat equation, Robin’s boundary condition, variational approach, switching control

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