Theory of connections applied to first-order system of ordinary differential equations subject to component constraints

Daniele Mortari, Roberto Furfaro

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

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’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.

Original languageEnglish (US)
Title of host publicationAAS/AIAA Astrodynamics Specialist Conference, 2018
EditorsRyan M. Weisman, Puneet Singla, Belinda G. Marchand, Brandon A. Jones
PublisherUnivelt Inc.
Pages3041-3056
Number of pages16
ISBN (Print)9780877036579
StatePublished - Jan 1 2018
EventAAS/AIAA Astrodynamics Specialist Conference, 2018 - Montreal, Canada
Duration: Aug 19 2018Aug 23 2018

Publication series

NameAdvances in the Astronautical Sciences
Volume167
ISSN (Print)0065-3438

Conference

ConferenceAAS/AIAA Astrodynamics Specialist Conference, 2018
CountryCanada
CityMontreal
Period8/19/188/23/18

Fingerprint

Ordinary differential equations
Differential equations
differential equations
optimal control
Time varying systems
methodology

ASJC Scopus subject areas

  • Aerospace Engineering
  • Space and Planetary Science

Cite this

Mortari, D., & Furfaro, R. (2018). Theory of connections applied to first-order system of ordinary differential equations subject to component constraints. In R. M. Weisman, P. Singla, B. G. Marchand, & B. A. Jones (Eds.), AAS/AIAA Astrodynamics Specialist Conference, 2018 (pp. 3041-3056). (Advances in the Astronautical Sciences; Vol. 167). Univelt Inc..

Theory of connections applied to first-order system of ordinary differential equations subject to component constraints. / Mortari, Daniele; Furfaro, Roberto.

AAS/AIAA Astrodynamics Specialist Conference, 2018. ed. / Ryan M. Weisman; Puneet Singla; Belinda G. Marchand; Brandon A. Jones. Univelt Inc., 2018. p. 3041-3056 (Advances in the Astronautical Sciences; Vol. 167).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Mortari, D & Furfaro, R 2018, Theory of connections applied to first-order system of ordinary differential equations subject to component constraints. in RM Weisman, P Singla, BG Marchand & BA Jones (eds), AAS/AIAA Astrodynamics Specialist Conference, 2018. Advances in the Astronautical Sciences, vol. 167, Univelt Inc., pp. 3041-3056, AAS/AIAA Astrodynamics Specialist Conference, 2018, Montreal, Canada, 8/19/18.
Mortari D, Furfaro R. Theory of connections applied to first-order system of ordinary differential equations subject to component constraints. In Weisman RM, Singla P, Marchand BG, Jones BA, editors, AAS/AIAA Astrodynamics Specialist Conference, 2018. Univelt Inc. 2018. p. 3041-3056. (Advances in the Astronautical Sciences).
Mortari, Daniele ; Furfaro, Roberto. / Theory of connections applied to first-order system of ordinary differential equations subject to component constraints. AAS/AIAA Astrodynamics Specialist Conference, 2018. editor / Ryan M. Weisman ; Puneet Singla ; Belinda G. Marchand ; Brandon A. Jones. Univelt Inc., 2018. pp. 3041-3056 (Advances in the Astronautical Sciences).
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