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

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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

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Citation Formats

A. Hamidoglu, “Null controllability of heat equation with switching controls under Robin’s boundary condition,” HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, pp. 373–379, 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64035.