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

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Hamidoglu A.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.45, no.2, pp.373-379, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 45 Issue: 2
  • Publication Date: 2016
  • Doi Number: 10.15672/hjms.20164512501
  • Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.373-379
  • Keywords: Heat equation, Robin's boundary condition, variational approach, switching control
  • Middle East Technical University Affiliated: Yes

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)/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.