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math.OC2024
Unscented Trajectory Optimization
I. M. Ross, R. J. Proulx, M. Karpenko
In a nutshell, unscented trajectory optimization is the generation of optimal trajectories through the use of an unscented transform. Although unscented trajectory optimization was…
math.OC2020★ 7 cited
An Optimal Control Theory for the Traveling Salesman Problem and Its Variants
I. M. Ross, R. J. Proulx, M. Karpenko
We show that the traveling salesman problem (TSP) and its many variants may be modeled as functional optimization problems over a graph. In this formulation, all vertices and arcs…
math.OC2018
Scaling and Balancing for High-Performance Computation of Optimal Controls
I. M. Ross, Q. Gong, M. Karpenko +1
It is well-known that proper scaling can increase the efficiency of computational problems. In this paper we define and show that a balancing technique can substantially improve th…