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Reduction of state dependent sweeping process to unconstrained differential inclusion

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  • Tahar Haddad
  • Ilyas Kecis
  • Lionel Thibault

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

Suggested Citation

  • Tahar Haddad & Ilyas Kecis & Lionel Thibault, 2015. "Reduction of state dependent sweeping process to unconstrained differential inclusion," Journal of Global Optimization, Springer, vol. 62(1), pages 167-182, May.
    • Handle: RePEc:spr:jglopt:v:62:y:2015:i:1:p:167-182
    DOI: 10.1007/s10898-014-0220-0
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    References listed on IDEAS

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    1. Tahar Haddad, 2013. "Nonconvex Differential Variational Inequality and State-Dependent Sweeping Process," Journal of Optimization Theory and Applications, Springer, vol. 159(2), pages 386-398, November.
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    Cited by:

    1. Abderrahim Jourani & Emilio Vilches, 2017. "Moreau-Yosida Regularization of State-Dependent Sweeping Processes with Nonregular Sets," Journal of Optimization Theory and Applications, Springer, vol. 173(1), pages 91-116, April.
    2. Diana Narváez & Emilio Vilches, 2022. "Moreau–Yosida Regularization of Degenerate State-Dependent Sweeping Processes," Journal of Optimization Theory and Applications, Springer, vol. 193(1), pages 910-930, June.

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