Optimal thrust programming along the brachistochronic trajectory with non-linear drag

DOI10.1515/IJNSNS-2018-0112zbMath1462.49061OpenAlexW2901178262MaRDI QIDQ1720038

Alena Zarodnyuk, Nina Smirnova, O. Yu. Cherkasov

Publication date: 12 February 2019

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ijnsns-2018-0112

zbMATH Keywords

phase portraitbrachistochroneoptimal thrust

Mathematics Subject Classification ID

Optimal feedback synthesis (49N35) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Boundary value problems in the complex plane (30E25) Asymptotics of solutions to integral equations (45M05)

Related Items (1)

Range maximization problem with a penalty on fuel consumption in the modified brachistochrone problem

Cites Work

• Optimal trajectories in the brachistochrone problem with an accelerating force
• Brachistochrone with an accelerating force
• On the analytical solution of the brachistochrone problem in a non-conservative field
• On the maximization of the horizontal range and the brachistochrone with an accelerating force and viscous friction
• Asymptotic analysis of the mathematical model of a wind-powered vehicle
• The brachistochrone with acceleration: A running track
• Optimal symmetric flight with an intermediate vehicle model
• Unnamed Item

This page was built for publication: Optimal thrust programming along the brachistochronic trajectory with non-linear drag