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math.OC2025
Solutions to Differential Algebraic Inequalities with Composite Bernstein Polynomials
Maxwell Hammond, Gage MacLin, Laurent Jay +1
The Bernstein polynomial basis sees significant use owing to its unique properties, particularly in the field of optimal control. However, the basis is known to have a slow rate of…
math.OC2024
Scalable Optimal Motion Planning for Multi-Agent Systems by Cosserat Theory of Rods
Amirreza Fahim Golestaneh, Maxwell Hammond, Venanzio Cichella
We address the motion planning problem for large multi-agent systems, utilizing Cosserat rod theory to model the dynamic behavior of vehicle formations. The problem is formulated a…