371 citations · 452 across the 8 of their papers we have counts for
8 papers
A Review of Pseudospectral Optimal Control: From Theory to Flight
I. M. Ross, M. Karpenko
The home space for optimal control is a Sobolev space. The home space for pseudospectral theory is also a Sobolev space. It thus seems natural to combine pseudospectral theory with…
A Derivation of Nesterov's Accelerated Gradient Algorithm from Optimal Control Theory
I. M. Ross
Nesterov's accelerated gradient algorithm is derived from first principles. The first principles are founded on the recently-developed optimal control theory for optimization. This…
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…
Enhancements to the DIDO Optimal Control Toolbox
I. M. Ross
In 2020, DIDO turned 20! The software package emerged in 2001 as a basic, user-friendly MATLAB teaching-tool to illustrate the various nuances of Pontryagin's Princ…
A Direct Shooting Method is Equivalent to an Indirect Method
I. M. Ross
We show that a direct shooting method is mathematically equivalent to an indirect method in the sense of certain first-order conditions. Specific mathematical formulas pertaining t…
Fast Mesh Refinement in Pseudospectral Optimal Control
N. Koeppen, I. M. Ross, L. C. Wilcox +1
Mesh refinement in pseudospectral (PS) optimal control is embarrassingly easy --- simply increase the order of the Lagrange interpolating polynomial and the mathematics of conv…