Asymptotics of the optimal time in a singular perturbed linear time-optimal problem

DOI10.1134/S0081543810070059zbMath1251.49002OpenAlexW1970679191MaRDI QIDQ643792

O. O. Kovrizhnykh, A. R. Danilin

Publication date: 2 November 2011

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

Full work available at URL: https://doi.org/10.1134/s0081543810070059

zbMATH Keywords

optimal controlasymptotic expansionsmall parametertime-optimal control problemsingular perturbed problems

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Time-scale analysis and singular perturbations in control/observation systems (93C70) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Related Items (2)

Asymptotics of a solution to a singularly perturbed time-optimal control problem ⋮ Asymptotic representation of a solution to a singular perturbation linear time-optimal problem

Cites Work

• Unnamed Item
• Controllability and time-optimal control of systems with slow and fast modes
• Convex Analysis

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