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

Abderrahim Jourani () and Emilio Vilches ()
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Abderrahim Jourani: Université de Bourgogne Franche-Comté
Emilio Vilches: Universidad de Chile

Journal of Optimization Theory and Applications, 2017, vol. 173, issue 1, No 5, 116 pages

Abstract: 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: Moreau-Yosida regularization; Subsmooth sets; Sweeping process; Positively $$\alpha $$ α -far sets; Measure differential inclusions; Play operator; 34A60; 49J52; 49J53 (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10957-017-1083-6

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