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 Zh. Vychisl. Mat. Mat. Fiz., 2005, Volume 45, Number 11, Pages 1963–1968 (Mi zvmmf565)

An asymptotic solution to a singularly perturbed time-optimal control problem

A. I. Kalinin

Belarusian State University

Abstract: The time-optimal control problem for a linear singularly perturbed system with multidimensional controls bounded in the Euclidean norm is considered. It is shown that an approximate (asymptotic) solution to the problem can be constructed by solving two unperturbed optimal control problems of a lower dimension.

Key words: singularly perturbed time-optimal control problem, asymptotic solution method.

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English version:
Computational Mathematics and Mathematical Physics, 2005, 45:11, 1888–1892

Bibliographic databases:
UDC: 519.626.2

Citation: A. I. Kalinin, “An asymptotic solution to a singularly perturbed time-optimal control problem”, Zh. Vychisl. Mat. Mat. Fiz., 45:11 (2005), 1963–1968; Comput. Math. Math. Phys., 45:11 (2005), 1888–1892

Citation in format AMSBIB
\Bibitem{Kal05} \by A.~I.~Kalinin \paper An asymptotic solution to a singularly perturbed time-optimal control problem \jour Zh. Vychisl. Mat. Mat. Fiz. \yr 2005 \vol 45 \issue 11 \pages 1963--1968 \mathnet{http://mi.mathnet.ru/zvmmf565} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2203221} \zmath{https://zbmath.org/?q=an:1102.49020} \transl \jour Comput. Math. Math. Phys. \yr 2005 \vol 45 \issue 11 \pages 1888--1892