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eess.SY2024
Uncertainty Propagation and Bayesian Fusion on Unimodular Lie Groups from a Parametric Perspective
Jikai Ye, Gregory S. Chirikjian
We address the problem of uncertainty propagation and Bayesian fusion on unimodular Lie groups. Starting from a stochastic differential equation (SDE) defined on Lie groups via Mck…
eess.SY2023
A Lie-Theoretic Approach to Propagating Uncertainty Jointly in Attitude and Angular Momentum
Amitesh S. Jayaraman, Jikai Ye, Gregory S. Chirikjian
Dynamic state estimation, as opposed to kinematic state estimation, seeks to estimate not only the orientation of a rigid body but also its angular velocity, through Euler's equati…