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Moreau-Yosida Regularization of State-Dependent Sweeping Processes with Nonregular Sets

Abderrahim Jourani 1, * Emilio Vilches 2
* Auteur correspondant
1 IMB - Institut de Mathématiques de Bourgogne [Dijon]
2 DIM - Departamento de Ingeniería Matemática [Santiago]
Abstract : The existence and the convergence (up to a subsequence) of the Moreau-Yosida regularization for the state-dependent sweeping process with nonregular (subsmooth and positively alpha-far) sets are established. Then, by a reparametrization technique, the existence of solutions for bounded variation continuous state-dependent sweeping processes with nonregular (subsmooth and positively alpha-far) sets is proved. An application to vector hysteresis is discussed, where it is shown that the Play operator with positively alpha-far sets is well defined for bounded variation continuous inputs.
Keywords : Variational-inequalities Differential-inclusions Moreau-Yosida regularization Subsmooth sets Sweeping process Positively alpha-far sets Measure differential inclusions Play operator Hilbert-spaces Bv solutions Perturbation Existence
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https://hal-univ-bourgogne.archives-ouvertes.fr/hal-01551688
Contributeur : Imb - Université de Bourgogne <>
Soumis le : vendredi 30 juin 2017 - 14:18:55
Dernière modification le : mercredi 6 mai 2020 - 20:18:02

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UNIV-BOURGOGNE | CNRS | INSMI | IMB_UMR5584

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Abderrahim Jourani, Emilio Vilches. Moreau-Yosida Regularization of State-Dependent Sweeping Processes with Nonregular Sets. Journal of Optimization Theory and Applications, Springer Verlag, 2017, 173 (1), pp.91 - 116. ⟨10.1007/s10957-017-1083-6⟩. ⟨hal-01551688⟩

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