On the attainable set of a perturbed second order sweeping process

Authors

  • Doria Affane Laboratory of Pure and Applied Mathematics, Faculty of Exact Sciences and Computer, University of Jijel, 18000 Jijel, Algeria
  • Mustapha Fateh Yarou Laboratory of Pure and Applied Mathematics, Faculty of Exact Sciences and Computer, University of Jijel, 18000 Jijel, Algeria https://orcid.org/0000-0003-4083-1813

Abstract

In this paper, we deal with a perturbed second order nonconvex sweeping process for a class of subsmooth moving sets which depends jointly on time, state and velocity. The perturbation is supposed to be a Carath´eodory single-valued mapping. We study the existence of solution, establish some topological properties of the attainable set and deduce existence of solution to a time optimality
problem.

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Published

2026-05-30

Issue

Vol. 33 No. 2 (2026): Nonlinear Studies

Section

Articles

License

Copyright (c) 2026 Doria Affane, Mustapha Fateh Yarou

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

On the attainable set of a perturbed second order sweeping process. (2026). Nonlinear Studies, 33(2), 691-699. https://nonlinearstudies.com/index.php/nonlinear/article/view/2299