تقرير
Pursuit-Evasion on a Sphere and When It Can Be Considered Flat
| العنوان: | Pursuit-Evasion on a Sphere and When It Can Be Considered Flat |
|---|---|
| المؤلفون: | Milutinovic, Dejan, Von Moll, Alexander, Manyam, Satyanarayana G., Casbeer, David W., Weintraub, Isaac E., Pachter, Meir |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Optimization and Control, Electrical Engineering and Systems Science - Systems and Control, Mathematics - Algebraic Geometry, Mathematics - Differential Geometry, 58E10, 86A30, 37D40, 91A23, 49L12, 49Q10 |
| الوصف: | In classical works on a planar differential pursuit-evasion game with a faster pursuer, the intercept point resulting from the equilibrium strategies lies on the Apollonius circle. This property was exploited for the construction of the equilibrium strategies for two faster pursuers against one evader. Extensions for planar multiple-pursuer single-evader scenarios have been considered. We study a pursuit-evasion game on a sphere and the relation of the equilibrium intercept point to the Apollonius domain on the sphere. The domain is a generalization of the planar Apollonius circle set. We find a condition resulting in the intercept point belonging to the Apollonius domain, which is the characteristic of the planar game solution. Finally, we use this characteristic to discuss pursuit and evasion strategies in the context of two pursuers and a single slower evader on the sphere and illustrate it using numerical simulations. Comment: 8 Pages, 5 figures, To be submitted to 2024 Conference on Decision and Control in Milan, Italy |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2403.15188 |
| رقم الأكسشن: | edsarx.2403.15188 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |