Asymptotics of a solution to a singularly perturbed time-optimal control problem of transferring an object to a set

DOI10.1134/S0081543821030068zbMath1469.49004OpenAlexW3184807777MaRDI QIDQ2043621

A. R. Danilin, O. O. Kovrizhnykh

Publication date: 3 August 2021

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543821030068

zbMATH Keywords

optimal controlasymptotic expansionsmall parametersingularly perturbed problemtime-optimal control problem

Mathematics Subject Classification ID

Control problems involving ordinary differential equations (34H05) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Cites Work

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• Singular Perturbation in Mayer’s Problem for Linear Systems
• Controllability and time-optimal control of systems with slow and fast modes
• Asymptotic expansion of a solution for the singularly perturbed optimal control problem with a convex integral quality index and smooth control constraints

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