Asymptotics of a solution to an optimal control problem with integral convex performance index, cheap control, and initial data perturbations

DOI10.1134/s0081543823030070zbMath1522.49017OpenAlexW4386749508MaRDI QIDQ6073597

A. A. Shaburov, A. R. Danilin

Publication date: 18 September 2023

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

Full work available at URL: https://doi.org/10.1134/s0081543823030070

zbMATH Keywords

optimal controlasymptotic expansionsmall parametercheap control

Mathematics Subject Classification ID

Controllability (93B05) Optimality conditions for free problems in two or more independent variables (49K10)

Cites Work

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• The asymptotical behavior of the solution to the time-optimal problem for a linear system under perturbation of initial data
• Asymptotic solution of a singularly perturbed linear-quadratic problem in critical case with cheap control
• Direct scheme for the asymptotic solution of linear-quadratic problems with cheap controls of different costs
• Singular perturbations in control problems
• Singularly perturbed problems with multi-tempo fast variables
• Convex Analysis

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