Asymptotic expansion of a solution of a singularly perturbed optimal control problem with a convex integral quality index, whose terminal part additively depends on slow and fast variables

DOI10.35634/2226-3594-2020-55-03zbMath1457.49023OpenAlexW3040624587MaRDI QIDQ5151941

A. R. Danilin, A. A. Shaburov

Publication date: 17 February 2021

Published in: Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/iimi389

zbMATH Keywords

optimal controlasymptotic expansionsmall parametersingularly perturbed problems

Mathematics Subject Classification ID

Time-scale analysis and singular perturbations in control/observation systems (93C70) Linear optimal control problems (49N05)

Related Items (1)

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Cites Work

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• Perturbations, approximations and sensitivity analysis of optimal control systems
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• Controllability and time-optimal control of systems with slow and fast modes
• Asymptotic expansion of solution to singularly perturbed optimal control problem with convex integral quality functional with terminal part depending on slow and fast variables

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