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, cilt.45, ss.373-379, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 45 Konu: 2
  • Basım Tarihi: 2016
  • Doi Numarası: 10.15672/hjms.20164512501
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Sayfa Sayıları: ss.373-379

Özet

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.