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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2016 Volume 9, Issue 3, Pages 338–346 (Mi jsfu492)

This article is cited in 2 papers

Mathematical modeling of H-processes

Alexander V. Medvedeva, Eugene D. Mihovb, Oleg V. Nepomnyashchiyb

a Siberian State Aerospace University, Krasnoyarsky Rabochy, 31, Krasnoyarsk, 660014, Russia
b Institute of Space and Information Technology, Siberian Federal University, Kirensky, 26, Krasnoyarsk, 660074, Russia

Abstract: The problem of the discrete continuous processes having "tubular" structure in space "input-output" variables's modeling is investigated. The fact that when the trained parametrical models of "tubular" processes's creating, it's important to use corresponding nonparametric indicators, is reflected. Some private examples of "tubular" processes's modeling are reviewed. This examples proves that "tubular" processes proceed in the space of fractional dimension.

Keywords: priori information, identification, nonparametric model, nonparametric algorithms, H-model, fractional dimension space.

UDC: 519.21

Received: 27.01.2016
Received in revised form: 16.04.2016
Accepted: 22.06.2016

Language: English

DOI: 10.17516/1997-1397-2016-9-3-338-346



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