Asymptotics of the optimal time in a time-optimal control problem with a small parameter

DOI10.1134/S0081543817050078zbMath1373.93223OpenAlexW2750638095MaRDI QIDQ1675314

A. R. Danilin, O. O. Kovrizhnykh

Publication date: 27 October 2017

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

Full work available at URL: https://doi.org/10.1134/s0081543817050078

zbMATH Keywords

optimal controlasymptotic expansionsmall parametertime-optimal control problemsingularly perturbed problems

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Eigenvalue problems (93B60) Time-scale analysis and singular perturbations in control/observation systems (93C70) Existence theories in calculus of variations and optimal control (49J99)

Cites Work

• Time-optimal control of a small mass point without environmental resistance
• Convergence of the solution of the linear singularly perturbed problem of time-optimal response
• Perturbations, approximations and sensitivity analysis of optimal control systems
• Asymptotic representation of a solution to a singular perturbation linear time-optimal problem
• The asymptotic evaluation of certain integrals
• Controllability and time-optimal control of systems with slow and fast modes
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