李羣積分器
李羣積分器係一種微分方程數值積分方法，專門處理啲方程係通過座標無關嘅運算（譬如流形度嘅李羣作用）建立嘅。 [1] [2] [3]呢種結構已經用喺電腦圖像動畫同埋控制系統/人工智能研究領域入邊嘅車輛控制度。 [4]嗰啲任務因為有唔完整嘅約束所以尤其難處理。
睇埋
[編輯]參考
[編輯]- ↑ Celledoni, Elena; Marthinsen, Håkon; Owren, Brynjulf (2012). "An introduction to Lie group integrators -- basics, new developments and applications". Journal of Computational Physics. 257 (2014): 1040–1061. arXiv:1207.0069. Bibcode:2014JCoPh.257.1040C. doi:10.1016/j.jcp.2012.12.031.
- ↑ "AN OVERVIEW OF LIE GROUP VARIATIONAL INTEGRATORS AND THEIR APPLICATIONS TO OPTIMAL CONTROL" (PDF).
- ↑ Iserles, Arieh; Munthe-Kaas, Hans Z.; Nørsett, Syvert P.; Zanna, Antonella (2000-01-01). "Lie-group methods". Acta Numerica. 9: 215–365. ISSN 1474-0508.
- ↑ "Lie Group Integrators for the animation and control of vehicles" (PDF).
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