00 SWITCHING LUMPED CONTROLS

Date

2015-01-01

Author

Hamidoglu, Ali

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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

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Citation Formats

A. Hamidoglu, “00 SWITCHING LUMPED CONTROLS,” PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, pp. 83–90, 2015, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63530.