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

Emilio Vilches

doi:10.1007/s11228-018-0480-9

Article dans une revue

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

Type de document :

Article dans une revue

Domaine :

Mathématiques [math]

Liste complète des métadonnées

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 : mardi 10 novembre 2020 - 17:14:04

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

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

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