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JOURNALS // Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics) // Archive

PFMT, 2013 Issue 1(14), Pages 88–95 (Mi pfmt228)

MATHEMATICS

Correction method for solving perturbed parametric linear-quadratic optimal control problems in the neighbourhood of irregular parameter value

N. M. Fedartsova

Design and Technology center of the Belarusian railway, Minsk

Abstract: A family of one-parametric linear-quadratic optimal control problems with singular arcs is considered. A method for solving perturbed problems in the neighbourhood of irregular parameter value on condition that unperturbed problem solution is known is given.

Keywords: optimal control, parametric optimization, perturbed problems, linear-quadratic problems, singular arcs.

UDC: 517.977

Received: 01.02.2013



© Steklov Math. Inst. of RAS, 2024