Asymptotics of the solution to a singularly perturbed linear-quadratic optimal control problem

DOI10.1134/S0965542515020128zbMath1318.49065OpenAlexW2121305431MaRDI QIDQ2354434

L. I. Lavrinovich, Anatoly I. Kalinin

Publication date: 13 July 2015

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

Full work available at URL: https://doi.org/10.1134/s0965542515020128

zbMATH Keywords

singular perturbationsasymptotic approximationslinear-quadratic optimal control problemsuboptimal synthesis

Mathematics Subject Classification ID

Perturbations in control/observation systems (93C73) Linear systems in control theory (93C05) Time-scale analysis and singular perturbations in control/observation systems (93C70) Linear-quadratic optimal control problems (49N10)

Related Items (4)

Application of the small parameter method to the singularly perturbed linear-quadratic optimal control problem ⋮ Unnamed Item ⋮ Approximation of Control for Singularly Perturbed System with Delay with Integral Quadratic Constraints ⋮ Asymptotic method for solving a singularly perturbed linear-quadratic optimal control problem with a moving right end of trajectories

Cites Work

• 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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