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Controlled dynamic systems and Carleman operator

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Abstract

Controlled dynamic systems on a compact set and thus with invariant measure are considered. This allows reducing differential dynamic systems to Fredholm-type integral equations. An algorithm of constructing a vector field of maximum descent rate along a trajectory is presented. The algorithm is reduced to a numerical moment-type procedure.

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Authors and Affiliations

  1. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    V. F. Zadorozhny

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  1. V. F. Zadorozhny
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Correspondence to V. F. Zadorozhny.

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Translated from Kibernetika i Sistemnyi Analiz, No. 5, pp. 54–61, September–October 2008.

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Zadorozhny, V.F. Controlled dynamic systems and Carleman operator. Cybern Syst Anal 44, 673–679 (2008). https://doi.org/10.1007/s10559-008-9041-9

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  • DOI: https://doi.org/10.1007/s10559-008-9041-9

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