Application of the small parameter method to the singularly perturbed linear-quadratic optimal control problem

DOI10.1134/S0005117916050015zbMath1346.49053MaRDI QIDQ315142

L. I. Lavrinovich, Anatoly I. Kalinin

Publication date: 19 September 2016

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

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Time-scale analysis and singular perturbations in control/observation systems (93C70) Linear-quadratic optimal control problems (49N10) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (1)

Asymptotic approximations to the solution of the singularly perturbed linear-quadratic optimal control problem with terminal path constraints

Cites Work

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• The asymptotics of the solutions of perturbed optimal control problems
• 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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