Asymptotic expansion of the solution of a singularly perturbed optimal control problem with elliptical control constraints

DOI10.1134/S0005117922010015zbMath1487.49028OpenAlexW4213327743MaRDI QIDQ2136423

A. A. Shaburov, A. R. Danilin

Publication date: 10 May 2022

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0005117922010015

zbMATH Keywords

optimal controlasymptotic expansionsmall parametersingularly perturbed problem

Mathematics Subject Classification ID

Time-scale analysis and singular perturbations in control/observation systems (93C70) Optimality conditions for problems involving relations other than differential equations (49K21)

Cites Work

• Time-optimal control of a small mass point without environmental resistance
• The asymptotics of the optimal value of the performance functional in a linear optimal control problem in the regular case
• 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
• 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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