Asymptotics of a solution to an optimal control problem with a terminal convex performance index and a perturbation of the initial data

DOI10.1134/S008154382306007XOpenAlexW4391761114MaRDI QIDQ6154819

O. O. Kovrizhnykh, A. R. Danilin

Publication date: 16 February 2024

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

Full work available at URL: https://doi.org/10.1134/s008154382306007x

zbMATH Keywords

optimal controlasymptotic expansionsmall parameterterminal convex performance index

Mathematics Subject Classification ID

Optimality conditions for free problems in two or more independent variables (49K10)

Cites Work

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• Singular perturbations in control problems
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• Singularly perturbed problems with multi-tempo fast variables
• Asymptotic expansion of a solution for the singularly perturbed optimal control problem with a convex integral quality index and smooth control constraints
• Asymptotic behavior of the optimal cost functional for a rapidly stabilizing indirect control in the singular case

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