English

Moreau-Yosida Regularization of Degenerate State-Dependent Sweeping Processes

Optimization and Control 2021-04-30 v1

Abstract

In this paper, we introduce and study degenerate state-dependent sweeping processes with nonregular moving sets (subsmooth and positively α\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.

Keywords

Cite

@article{arxiv.2104.13959,
  title  = {Moreau-Yosida Regularization of Degenerate State-Dependent Sweeping Processes},
  author = {Diana Narváez and Emilio Vilches},
  journal= {arXiv preprint arXiv:2104.13959},
  year   = {2021}
}

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20 pages