تقرير
Inner approximations of the maximal positively invariant set for polynomial dynamical systems
| العنوان: | Inner approximations of the maximal positively invariant set for polynomial dynamical systems |
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| المؤلفون: | Oustry, Antoine, Tacchi, Matteo, Henrion, Didier |
| سنة النشر: | 2019 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Optimization and Control, Electrical Engineering and Systems Science - Systems and Control |
| الوصف: | The Lasserre or moment-sum-of-square hierarchy of linear matrix inequality relaxations is used to compute inner approximations of the maximal positively invariant set for continuous-time dynamical systems with polynomial vector fields. Convergence in volume of the hierarchy is proved under a technical growth condition on the average exit time of trajectories. Our contribution is to deal with inner approximations in infinite time, while former work with volume convergence guarantees proposed either outer approximations of the maximal positively invariant set or inner approximations of the region of attraction in finite time. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1903.04798 |
| رقم الأكسشن: | edsarx.1903.04798 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |