Asymptotic method for solving a singularly perturbed linear-quadratic optimal control problem with a moving right end of trajectories

DOI10.1134/S0965542521110105zbMath1485.49039OpenAlexW4213180502MaRDI QIDQ2116197

L. I. Lavrinovich, Anatoly I. Kalinin

Publication date: 16 March 2022

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542521110105

zbMATH Keywords

optimal controllinear systemsingular perturbationsquadratic functionalasymptotic approximationssuboptimal synthesis

Mathematics Subject Classification ID

Optimal feedback synthesis (49N35) Linear-quadratic optimal control problems (49N10) Existence theories for optimal control problems involving relations other than differential equations (49J21)

Cites Work

• To the synthesis of optimal control systems
• Asymptotic approximations to the solution of the singularly perturbed linear-quadratic optimal control problem with terminal path constraints
• Asymptotics of the solution to a singularly perturbed linear-quadratic optimal control problem
• Singular perturbations in control problems
• Singular perturbation of linear regulators: Basic theorems
• Optimal open- and closed-loop control of singularly peturbed linear systems
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