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We shall conclude the section by comparing the analytic and the overapproximated numerical solution (using the LevelSetPy toolbox) to the time to reach the origin problem

to obtain a time-optimal feedback control design, introduce the notion of isochrones, switching surfaces, approximate solutions (with our library) to the time-optimal control problem for a double integrator · 1985

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HJ-Gauss: A Monte-Carlo HJ Reachability Scheme

eess.SY · 2026-05-18 · conditional · novelty 7.0

HJ-Gauss computes viscous HJ reachability in up to 45 dimensions via Cole-Hopf linearization to Gaussian heat kernels and Monte-Carlo roll-outs, with O(N^{-1/2}) error bounds and linear scaling in state dimension.

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  • HJ-Gauss: A Monte-Carlo HJ Reachability Scheme eess.SY · 2026-05-18 · conditional · none · ref 10

    HJ-Gauss computes viscous HJ reachability in up to 45 dimensions via Cole-Hopf linearization to Gaussian heat kernels and Monte-Carlo roll-outs, with O(N^{-1/2}) error bounds and linear scaling in state dimension.