| Autor: |
Colombo, Giovanni, Gidoni, Paolo |
| Rok vydání: |
2020 |
| Předmět: |
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| Zdroj: |
Journal de Math\'ematiques Pures et Appliqu\'ees 146 (2021), 127-157 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1016/j.matpur.2020.11.005 |
| Popis: |
Existence of optimal solutions and necessary optimality conditions for a controlled version of Moreau's sweeping process are derived. The control is a measurable ingredient of the dynamics and the constraint set is a polyhedron. The novelty consists in considering time periodic trajectories, adding the requirement that the control have zero average, and considering an integral functional that lacks weak semicontinuity. A model coming from the locomotion of a soft-robotic crawler, that motivated our setting, is analysed in detail. In obtaining necessary conditions, an improvement of the method of discrete approximations is used. |
| Databáze: |
arXiv |
| Externí odkaz: |
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