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

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2016-04-01
Hamidoglu, Ali
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.

Citation Formats
A. Hamidoglu, “Null controllability of heat equation with switching controls under Robin’s boundary condition,” HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol. 45, no. 2, pp. 373–379, 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64035.