3 citations · 4 across the 3 of their papers we have counts for
3 papers
eess.SY2022
Upper Bounds for Continuous-Time End-to-End Risks in Stochastic Robot Navigation
Apurva Patil, Takashi Tanaka
We present an analytical method to estimate the continuous-time collision probability of motion plans for autonomous agents with linear controlled Ito dynamics. Motion plans genera…
math.OC2022★ 1 cited
Chance-Constrained Stochastic Optimal Control via Path Integral and Finite Difference Methods
Apurva Patil, Alfredo Duarte, Aislinn Smith +2
This paper addresses a continuous-time continuous-space chance-constrained stochastic optimal control (SOC) problem via a Hamilton-Jacobi-Bellman (HJB) partial differential equatio…
cs.RO2021★ 3 cited
Upper and Lower Bounds for End-to-End Risks in Stochastic Robot Navigation
Apurva Patil, Takashi Tanaka
We present novel upper and lower bounds to estimate the collision probability of motion plans for autonomous agents with discrete-time linear Gaussian dynamics. Motion plans genera…