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Optimal control of a rate-independent evolution equation via viscous regularization

  • We study the optimal control of a rate-independent system that is driven by a convex quadratic energy. Since the associated solution mapping is non-smooth, the analysis of such control problems is challenging. In order to derive optimality conditions, we study the regularization of the problem via a smoothing of the dissipation potential and via the addition of some viscosity. The resulting regularized optimal control problem is analyzed. By driving the regularization parameter to zero, we obtain a necessary optimality condition for the original, non-smooth problem.

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Metadaten
Author: Ulisse Stefanelli, Daniel WachsmuthORCiD, Gerd WachsmuthORCiD
DOI:https://doi.org/10.3934/dcdss.2017076
ISSN:1937-1632
ISSN:1937-1179
Title of the source (English):Discrete and Continuous Dynamical Systems - Series S (DCDS-S)
Document Type:Scientific journal article peer-reviewed
Language:English
Year of publication:2017
Tag:Rate-independent system; necessary optimality conditions; optimal control
Volume/Year:10
Issue number:6
First Page:1467
Last Page:1485
Faculty/Chair:Fakultät 1 MINT - Mathematik, Informatik, Physik, Elektro- und Informationstechnik / FG Optimale Steuerung
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