277 citations · 461 across the 25 of their papers we have counts for
3 papers · 1 filter
A Primal-Dual Method for Optimal Control and Trajectory Generation in High-Dimensional Systems
Matthew R. Kirchner, Gary Hewer, Jerome Darbon +1
Presented is a method for efficient computation of the Hamilton-Jacobi (HJ) equation for time-optimal control problems using the generalized Hopf formula. Typically, numerical meth…
Time-Optimal Collaborative Guidance Using the Generalized Hopf Formula
Matthew R. Kirchner, Robert Mar, Gary Hewer +3
Presented is a new method for calculating the time-optimal guidance control for a multiple vehicle pursuit-evasion system. A joint differential game of k pursuing vehicles relative…
Algorithm for Overcoming the Curse of Dimensionality for State-dependent Hamilton-Jacobi equations
Yat Tin Chow, Jerome Darbon, Stanley Osher +1
In this paper, we develop algorithms to overcome the curse of dimensionality in possibly non-convex state-dependent Hamilton-Jacobi equations (HJ PDEs) arising from optimal control…