Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
751840 | Systems & Control Letters | 2016 | 8 Pages |
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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Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Christian Clason, Armin Rund, Karl Kunisch, Richard C. Barnard,