@inproceedings{73d3efb5324a4656b0547cec721f61c1,
title = "Theory of connections applied to first-order system of ordinary differential equations subject to component constraints",
abstract = "Motivated by a class of first order differential equations generated by some optimal control problems this paper provides, using the methodology introduced by the Theory of Connections, least-squares solutions of first-order differential equations systems subject to linear constraints on the vector{\textquoteright}s components. This paper solves all different cases occurring in 2×2 linear time-varying systems with forcing term. Then, it shows how to solve a 4 × 4 system generated by a simple optimal control problem and how to solve a generic 3×3 time-varying differential equation system subject to relative and integral constraints on the vector components.",
author = "Daniele Mortari and Roberto Furfaro",
note = "Publisher Copyright: {\textcopyright} 2018 Univelt Inc. All rights reserved.; AAS/AIAA Astrodynamics Specialist Conference, 2018 ; Conference date: 19-08-2018 Through 23-08-2018",
year = "2018",
language = "English (US)",
isbn = "9780877036579",
series = "Advances in the Astronautical Sciences",
publisher = "Univelt Inc.",
pages = "3041--3056",
editor = "Puneet Singla and Weisman, {Ryan M.} and Marchand, {Belinda G.} and Jones, {Brandon A.}",
booktitle = "AAS/AIAA Astrodynamics Specialist Conference, 2018",
}