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

DOI10.1016/j.apm.2020.10.001zbMath1481.49040OpenAlexW3092252520MaRDI QIDQ2056590

O. Yu. Cherkasov, Nina Smirnova

Publication date: 8 December 2021

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2020.10.001

zbMATH Keywords

maximum principleboundary value problembrachistochroneoptimal thrustrange maximization

Mathematics Subject Classification ID

Applications of optimal control and differential games (49N90) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (1)

Realization of the brachistochronic motion of Chaplygin sleigh in a vertical plane with an unilateral nonholonomic constraint

Cites Work

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• On the maximization of the horizontal range and the brachistochrone with an accelerating force and viscous friction
• The brachistochrone with acceleration: A running track
• Optimal symmetric flight with an intermediate vehicle model
• A Transformation Approach to Singular Subarcs in Optimal Trajectory and Control Problems

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