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arXiv · 1702.07505

A convex penalty for switching control of partial differential equations

Christian Clason·Armin Rund·Karl Kunisch·Richard C. Barnard
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Abstract

A convex penalty for promoting switching controls for partial differential equations is introduced; such controls consist of an arbitrary number of components of which at most one should be simultaneously active. Using a Moreau-Yosida approximation, a family of approximating problems is obtained that is amenable to solution by a semismooth Newton method. The efficiency of this approach and the structure of the obtained controls are demonstrated by numerical examples.

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Christian Clason, Armin Rund, Karl Kunisch, Richard C. Barnard. 2017-02-24. A convex penalty for switching control of partial differential equations. https://doi.org/10.1016/j.sysconle.2015.12.013

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