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math.OC2020
A Model for Optimal Human Navigation with Stochastic Effects
Christian Parkinson, David Arnold, Andrea L. Bertozzi +1
We present a method for optimal path planning of human walking paths in mountainous terrain, using a control theoretic formulation and a Hamilton-Jacobi-Bellman equation. Previous…
math.OC2018
Optimal Human Navigation in Steep Terrain: a Hamilton-Jacobi-Bellman Approach
Christian Parkinson, David Arnold, Andrea L. Bertozzi +2
We present a method for determining optimal walking paths in steep terrain using the level set method and an optimal control formulation. By viewing the walking direction as a cont…