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

https://izlik.org/JA55KS86DY

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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