2 papers
math.OC2025
Real-Time Optimal Control via Transformer Networks and Bernstein Polynomials
Gage MacLin, Venanzio Cichella, Andrew Patterson +1
In this paper, we propose a Transformer-based framework for approximating solutions to infinite-dimensional optimization problems: calculus of variations problems and optimal contr…
math.OC2024
Optimal Control using Composite Bernstein Approximants
Gage MacLin, Venanzio Cichella, Andrew Patterson +2
In this work, we present composite Bernstein polynomials as a direct collocation method for approximating optimal control problems. An analysis of the convergence properties of com…