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Existence and Lyapunov Pairs for the Perturbed Sweeping Process Governed by a Fixed Set

Emilio Vilches 1, 2, 3
1 DIM - Departamento de Ingeniería Matemática [Santiago]
2 IMB - Institut de Mathématiques de Bourgogne [Dijon]
3 ICEd - UOH - Instituto de Ciencias de la educacion
Abstract : The aim of this paper is to prove existence results for a class of sweeping processes in Hilbert spaces by using the catching-up algorithm. These processes are governed by ball-compact non autonomous sets. Moreover, a full characterization of nonsmooth Lyapunov pairs is obtained under very general hypotheses. We also provide a criterion for weak invariance. Some applications to hysteresis and crowd motion are given.
Keywords : Sweeping process Lyapunov pair Differential inclusions Invariance Normal cone
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Article dans une revue
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https://hal-univ-bourgogne.archives-ouvertes.fr/hal-02194585
Contributeur : Imb - Université de Bourgogne <>
Soumis le : jeudi 25 juillet 2019 - 16:32:52
Dernière modification le : jeudi 28 janvier 2021 - 10:28:03

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UNIV-BOURGOGNE | INSMI | CNRS | IMB_UMR5584 | UNIV-FCOMTE

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Emilio Vilches. Existence and Lyapunov Pairs for the Perturbed Sweeping Process Governed by a Fixed Set. Set-Valued and Variational Analysis, Springer, 2019, 27 (2), pp.569-583. ⟨10.1007/s11228-018-0480-9⟩. ⟨hal-02194585⟩

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