تقرير
On the Lebesgue measure of the boundary of the evoluted set
| العنوان: | On the Lebesgue measure of the boundary of the evoluted set |
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| المؤلفون: | Boarotto, Francesco, Caravenna, Laura, Rossi, Francesco, Vittone, Davide |
| المصدر: | Systems & Control Letters, Volume 158, 2021 |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Optimization and Control, Mathematics - Classical Analysis and ODEs, 93B03, 93B27, 28A99 |
| الوصف: | The evoluted set is the set of configurations reached from an initial set via a fixed flow for all times in a fixed interval. We find conditions on the initial set and on the flow ensuring that the evoluted set has negligible boundary (i.e. its Lebesgue measure is zero). We also provide several counterexample showing that the hypotheses of our theorem are close to sharp. Comment: 12 pages, 1 figure |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.sysconle.2021.105078 |
| URL الوصول: | http://arxiv.org/abs/2107.06739 |
| رقم الأكسشن: | edsarx.2107.06739 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.sysconle.2021.105078 |
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