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JOURNALS // Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya // Archive

Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2013 Issue 9/2(110), Pages 184–190 (Mi vsgu313)

Mathematic Modeling

About one approach to modeling of optimal control of multidimensional composite linear systems

Y. N. Gorelovab

a Research and Education Center ”Space systems of remote sensing”, Samara State University, Samara, 443011, Russian Federation
b Institute of Control Sciences of Complex Systems, Russian Academy of Sciences, Samara

Abstract: The approach to the synthesis of optimal control of multidimensional composite linear system based on solutions of optimal control problems for inclusion in its structure of partial linear systems with scalar controls is considered. Control tasks are reduced to the problem of moments in the $L_{1}$ space for minimum functionals of the norm type, on minimum maximal Íîlder norms level (with indicators 2 and $\infty$) for the vector control composite system.

Keywords: composite system, partial control objects, optimal control, functional, problem of moments.

UDC: 517.977.5

Received: 25.05.2013
Revised: 25.05.2013



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