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An algorithm for numerical synthesis of optimal control

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Abstract

An algorithm for optimization of goal point-to-point control in a differential system with phase constraints that is based on the results of construction and estimation of sets of attainability (solvability) of the system is represented. Algorithms for the methods of supporting hyperplanes and sections for constructing the indicated sets are given. The efficiency of software-algorithmic implementation of the methods is confirmed by examples. The developed software technology oriented on multiprocessor systems is closely connected with the applied problems under study.

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Original Russian Text © A.I. Tyatyushkin, O.V. Morzhin, 2008, published in Avtomatika i Telemekhanika, 2008, No. 4, pp. 109–118.

This work was supported by the Russian Foundation for Basic Research, project no. 05-01-00659 and grant of the Buryat State University.

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Tyatyushkin, A.I., Morzhin, O.V. An algorithm for numerical synthesis of optimal control. Autom Remote Control 69, 645–653 (2008). https://doi.org/10.1134/S0005117908040115

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