Asymptotics of a solution to a singularly perturbed time-optimal control problem

DOI10.1134/S0081543818090067zbMath1417.49019OpenAlexW2920829854MaRDI QIDQ2424179

A. R. Danilin, O. O. Kovrizhnykh

Publication date: 24 June 2019

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

Full work available at URL: https://doi.org/10.1134/s0081543818090067

zbMATH Keywords

optimal controlasymptotic expansionsmall parametertime-optimal control problemsingularly perturbed problems

Mathematics Subject Classification ID

Optimality conditions for problems involving ordinary differential equations (49K15)

Cites Work

• Time-optimal control of a small mass point without environmental resistance
• Asymptotics of the optimal time in a singular perturbed linear time-optimal problem
• 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
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