Reduction of state dependent sweeping process to unconstrained differential inclusion

Tahar Haddad (), Ilyas Kecis () and Lionel Thibault ()

Journal of Global Optimization, 2015, vol. 62, issue 1, 167-182

Abstract: In this article we discuss the differential inclusion known as state dependent sweeping process for a class of prox-regular non-convex sets. We associate with any state dependent sweeping process with such sets an unconstraint differential inclusion whose any solution is a solution of the state sweeping process too. We prove a theorem on the existence of a global solution of nonconvex state dependent sweeping process with unbounded perturbations. The perturbations are not required to be convex valued. Copyright Springer Science+Business Media New York 2015

Keywords: Differential inclusion; Prox-regular sets; Normal cones; Differential variational inequality; 34A60; 49J52; 46N10; 58C20 (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s10898-014-0220-0

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