1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.OC2024★ 1 cited
A time-dependent symplectic network for non-convex path planning problems with linear and nonlinear dynamics
Zhen Zhang, Chenye Wang, Shanqing Liu +2
We propose a novel neural network architecture (TSympOCNet) to address high--dimensional optimal control problems with linear and nonlinear dynamics. An important application of th…
math.OC2024
Convergence and Error Estimates of A Semi-Lagrangian scheme for the Minimum Time Problem
Marianne Akian, Shanqing Liu
We consider a semi-Lagrangian scheme for solving the minimum time problem, with a given target, and the associated eikonal type equation. We first use a discrete time deterministic…
math.OC2023
An Adaptive Multi-Level Max-Plus Method for Deterministic Optimal Control Problems
Marianne Akian, Stéphane Gaubert, Shanqing Liu
We introduce a new numerical method to approximate the solution of a finite horizon deterministic optimal control problem. We exploit two Hamilton-Jacobi-Bellman PDE, arising by co…