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Uncertainty Propagation for General Stochastic Hybrid Systems on Compact Lie Groups
Weixin Wang, Taeyoung Lee
This paper deals with uncertainty propagation of general stochastic hybrid systems (GSHS) where the continuous state space is a compact Lie group. A computational framework is prop…
An overview of optimal control optimization problems driven by non-convexity measures
Weixin Wang
Recently, literature on dynamic coherent risk measures has broadened the choices for risk-sensitive performance evaluation. A running example includes Cumulative prospect theory an…
Spectral Bayesian Estimation for General Stochastic Hybrid Systems
Weixin Wang, Taeyoung Lee
General Stochastic Hybrid Systems (GSHS) have been formulated to represent various types of uncertainties in hybrid dynamical systems. In this paper, we propose computational techn…
Matrix Fisher-Gaussian Distribution on for Attitude Estimation with a Gyro Bias
Weixin Wang, Taeyoung Lee
In this paper, a new probability distribution, referred to as the matrix Fisher-Gaussian (MFG) distribution, is proposed on the nonlinear manifold $\mathrm{SO}(3)\times\mathbb{R}^n…