On a singularly perturbed time-optimal control problem with two small parameters

DOI10.1134/S0081543819070046zbMath1443.93084OpenAlexW3013657765MaRDI QIDQ2185640

A. R. Danilin, O. O. Kovrizhnykh

Publication date: 5 June 2020

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

Full work available at URL: https://doi.org/10.1134/s0081543819070046

zbMATH Keywords

optimal controlasymptotic expansionsmall parametersingularly perturbed problemtime-optimal control problem

Mathematics Subject Classification ID

Time-scale analysis and singular perturbations in control/observation systems (93C70) Existence theories for optimal control problems involving ordinary differential equations (49J15) Control/observation systems governed by ordinary differential equations (93C15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Cites Work

• Time-optimal control of a small mass point without environmental resistance
• Singular perturbations in optimal control problems
• Convergence of the solution of the linear singularly perturbed problem of time-optimal response
• Perturbations, approximations and sensitivity analysis of optimal control systems
• The asymptotic evaluation of certain integrals
• Controllability and time-optimal control of systems with slow and fast modes
• Asymptotic behavior of the optimal cost functional for a rapidly stabilizing indirect control in the singular case
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