Asymptotic expansion of a solution for the singularly perturbed optimal control problem with a convex integral quality index and smooth control constraints

DOI10.20537/2226-3594-2017-50-09zbMath1392.49036OpenAlexW2794403160MaRDI QIDQ4565260

A. A. Shaburov

Publication date: 8 June 2018

Published in: Izvestiya Instituta Matematiki i Informatiki. Udmurt. Gos. Univ. (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.20537/2226-3594-2017-50-09

zbMATH Keywords

optimal controlasymptotic expansionsmall parametersingularly perturbed problems

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Time-scale analysis and singular perturbations in control/observation systems (93C70) Optimality conditions for problems in abstract spaces (49K27)

Related Items (2)

Asymptotics of a solution to an optimal control problem with a terminal convex performance index and a perturbation of the initial data ⋮ Asymptotics of a solution to a singularly perturbed time-optimal control problem of transferring an object to a set

Cites Work

• Time-optimal control of a small mass point without environmental resistance
• Asymptotics of the optimal cost functional in a linear optimal control problem
• Singular perturbations in optimal control problems
• Perturbations, approximations and sensitivity analysis of optimal control systems
• Controllability and time-optimal control of systems with slow and fast modes
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