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JOURNALS // Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika" // Archive

Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2015 Volume 7, Issue 4, Pages 37–45 (Mi vyurm275)

This article is cited in 1 paper

Mathematics

A numerical method of the solution of mixed control problems for Leontieff type systems

A. V. Keller, A. A. Ebel

South Ural State University, Chelyabinsk, Russia

Abstract: The article presents exact and approximate solutions of mixed control problems. A detailed algorithm for the numerical method of the solution of mixed control problems is presented, the convergence of approximate solutions to the exact one is proved. Methods of the theory of degenerate (semi) groups, of the optimal control theory are used. The importance of the introduced functional quality which enables to solve applied problems in economics and engineering is shown.

Keywords: mixed control problem; Leontieff type system; numerical solution.

UDC: 517.977

Received: 03.09.2015

DOI: 10.14529/mmph150405



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