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00 SWITCHING LUMPED CONTROLS
Date
2015-01-01
Author
Hamidoglu, Ali
Metadata
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In this article, we consider the 1-d heat equation endowed with arbitrary number (finite) of lumped controls and under suitable conditions, we show that our approach allows building switching controls. For achieving this goal, we first introduce a new functional based on the adjoint system whose minimizers yield the switching controls. We show that, due to the time analyticity of the solutions, under suitable conditions on the location of the controllers, lumped switching controls exist in the 1-d heat equation.
Subject Keywords
Heat Equation
,
Variational Approach
,
Switching Controls
URI
https://hdl.handle.net/11511/63530
Journal
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS
Collections
Department of Mathematics, Article