Second-Order Time and State-Dependent Sweeping Process in Hilbert Space

Fatine Aliouane (), Dalila Azzam-Laouir (), Charles Castaing () and Manuel D. P. Monteiro Marques ()
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Fatine Aliouane: Université Mohammed Seddik Benyahia
Dalila Azzam-Laouir: Université Mohammed Seddik Benyahia
Charles Castaing: IMAG, Univ Montpellier, CNRS
Manuel D. P. Monteiro Marques: Faculdade de Ciências da Universidade de Lisboa

Journal of Optimization Theory and Applications, 2019, vol. 182, issue 1, No 8, 153-188

Abstract: Abstract Using an explicit catching-up algorithm, we prove the existence of absolutely continuous as well as bounded variation continuous solutions to a second-order perturbed Moreau’s sweeping process with the normal cone of a subsmooth moving set, which depends both on the time and on the state.

Keywords: Absolutely continuous; Bounded variation; Carathéodory perturbation; Fréchet normal cone; Set-valued perturbation; Subsmoothness; Sweeping process; 34H05; 34K35; 60H10; 28A25; 28C20; 34G25 (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-018-01455-x

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