Asymptotic representation of a solution to a singular perturbation linear time-optimal problem

DOI10.1134/S0081543813050039zbMath1286.49004MaRDI QIDQ2447021

O. O. Kovrizhnykh, A. R. Danilin

Publication date: 23 April 2014

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

zbMATH Keywords

asymptotic expansiontime-optimal control problemsingular perturbation problems

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Time-scale analysis and singular perturbations in control/observation systems (93C70) Control problems involving ordinary differential equations (34H05) Existence theories for optimal control problems involving ordinary differential equations (49J15) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (3)

Asymptotics of the optimal time in a time-optimal control problem with a small parameter ⋮ Asymptotics of solutions of linear singularly perturbed optimal control problems with a convex integral performance index and a cheap control ⋮ Asymptotics of the optimal time in a time-optimal problem with two small parameters

Cites Work

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• Asymptotics of the optimal time in a singular perturbed linear time-optimal problem
• Convergence of the solution of the linear singularly perturbed problem of time-optimal response
• Singular perturbations in control problems
• Controllability and time-optimal control of systems with slow and fast modes
• Asymptotic behaviour of bounded controls for a singular elliptic problem in a domain with a small cavity

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