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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.

preprint2016arXivOpen access
Ulisse StefanelliGerd WachsmuthDaniel Wachsmuth
math.APmath.OC
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Open access3 authors2 topics
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Ulisse StefanelliGerd WachsmuthDaniel Wachsmuth

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