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Pré-publication, Document de travail

Controlled polyhedral sweeping processes: existence, stability, and optimality conditions

Abstract : This paper is mainly devoted to the study of controlled sweeping processes with polyhedral moving sets in Hilbert spaces. Based on a detailed analysis of truncated Hausdorff distances between moving polyhedra, we derive new existence and uniqueness theorems for sweeping trajectories corresponding to various classes of control functions acting in moving sets. Then we establish quantitative stability results, which provide efficient estimates on the sweeping trajectory dependence on controls and initial values. Our final topic, accomplished in finite-dimensional state spaces, is deriving new necessary optimality and suboptimality conditions for sweeping control systems with endpoint constrains by using constructive discrete approximations.
Type de document :
Pré-publication, Document de travail
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https://hal.archives-ouvertes.fr/hal-03448387
Contributeur : Abderrahim Jourani Connectez-vous pour contacter le contributeur
Soumis le : jeudi 25 novembre 2021 - 10:22:15
Dernière modification le : samedi 27 novembre 2021 - 03:48:52

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hjm-sweep21.pdf
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  • HAL Id : hal-03448387, version 1

Citation

René Henrion, Abderrahim Jourani, Boris Mordukhovich. Controlled polyhedral sweeping processes: existence, stability, and optimality conditions. 2021. ⟨hal-03448387⟩

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