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math.OC2026
Collisionless Multi-Agent Path Planning in the Hamilton-Jacobi Formulation
Christian Parkinson, Adan Baca, Huy Nguyen
We present a method for collisionless multi-agent path planning using the Hamilton-Jacobi-Bellman equation. Because the method is rooted in optimal control theory and partial diffe…
math.OC2025
A Hopf-Lax Type Formula for Multi-Agent Path Planning with Pattern Coordination
Christian Parkinson, Adan Baca
We present an algorithm for a multi-agent path planning problem with pattern coordination based on dynamic programming and a Hamilton-Jacobi-Bellman equation. This falls broadly in…