Moreau-Yosida Regularization of Degenerate State-Dependent Sweeping Processes

Published 28 Apr 2021 in math.OC | (2104.13959v1)

Abstract: In this paper, we introduce and study degenerate state-dependent sweeping processes with nonregular moving sets (subsmooth and positively $\alpha$-far). Based on the Moreau-Yosida regularization, we prove the existence of solutions under the Lipschitzianity of the moving sets with respect to the truncated Hausdorff distance.

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