Asymptotics of the optimal time in a time-optimal problem with two small parameters

DOI10.1134/S0081543815020066zbMath1321.49002OpenAlexW2076802825MaRDI QIDQ2516593

A. R. Danilin, O. O. Kovrizhnykh

Publication date: 3 August 2015

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

Full work available at URL: https://doi.org/10.1134/s0081543815020066

zbMATH Keywords

asymptotic expansiontime-optimal control problemsingular perturbation problems

Mathematics Subject Classification ID

Perturbations in control/observation systems (93C73) Control of mechanical systems (70Q05) Control problems involving ordinary differential equations (34H05) Existence theories for optimal control problems involving ordinary differential equations (49J15) Control/observation systems governed by ordinary differential equations (93C15) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (1)

Asymptotic expansion of a solution of a singularly perturbed optimal control problem with a convex integral quality index, whose terminal part additively depends on slow and fast variables

Cites Work

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• Time-optimal control of a small mass point without environmental resistance
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• Perturbations, approximations and sensitivity analysis of optimal control systems
• The asymptotics of the solution of a time-optimal problem with perturbed initial conditions
• Asymptotic representation of a solution to a singular perturbation linear time-optimal problem
• Controllability and time-optimal control of systems with slow and fast modes

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