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

作者：Hamidoglu Ali^*

来源：Hacettepe Journal of Mathematics and Statistics, 2016, 45(2): 373-379.

DOI：10.15672/HJMS.20164512501

• Heat equation
• Robin's boundary condition
• variational approach
• switching control

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.

• 出版日期2016-4