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math.OC2025
Towards Solutions of Manipulation Tasks via Optimal Control of Projected Dynamical Systems
Anton Pozharskiy, Armin Nurkanović, Moritz Diehl
We introduce a modeling framework for manipulation planning based on the formulation of the dynamics as a projected dynamical system. This method uses implicit signed distance func…
math.OC2024
First-Order Sweeping Processes and Extended Projected Dynamical Systems: Equivalence, Time-Discretization and Numerical Optimal Control
Anton Pozharskiy, Armin Nurkanović, Moritz Diehl
Constrained dynamical systems are systems such that, by some means, the state stays within a given set. Two such systems are the (perturbed) Moreau sweeping process and the recentl…