- 控制理论和非线性滤波讨论班

Nonexistence of finite-dimensional estimation algebras on a Riemannian manifold

组织者

丘成栋

演讲者

康家熠

时间

2024年08月21日 14:30 至 15:30

地点

Online

摘要

In this report, I will present recent progress on the filtering problem for Riemannian manifolds. We have proven that the filtering problem on compact Riemannian manifolds does not admit a finite-dimensional estimation algebra, which implies that manifold-based filtering problems are inherently nonlinear. Furthermore, this conclusion suggests that the linearization approximations used in traditional algorithms may not be the optimal approach for addressing such problems!