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Methods of Chebyshev points of convex sets and their applications

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Abstract

Consideration is given to methods of Chebyshev points in convex programming and their applications in optimal control. These methods belong to a class of cutting-immersion methods whose idea is in the approximation of convex sets by concave polyhedra.

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Original Russian Text © T.I. Belykh, V.P. Bulatov, E.N. Yas’kova, 2008, published in Avtomatika i Telemekhanika, 2008, No. 4, pp. 168–175.

This work is supported by the Russian Foundation for Basic Research, project no. 06-01-00465.

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Belykh, T.I., Bulatov, V.P. & Yas’kova, E.N. Methods of Chebyshev points of convex sets and their applications. Autom Remote Control 69, 700–707 (2008). https://doi.org/10.1134/S0005117908040164

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  • DOI: https://doi.org/10.1134/S0005117908040164

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