Научная электронная библиотека ULRICH'S Periodicals Directory

Сибирский государственный университет
науки и технологий имени академика М.Ф. Решетнева

Сибирский аэрокосмический журнал
ISSN 2712-8970 (Print) ISSN 2782-5760 (on-line)

Сведения об образовательной организации

UDK 62.501
SOME NOTES ON H-MODELS FOR NON-INERTIA SYSTEMS WITH A DELAY
A. V. Medvedev
Siberian State Aerospace University named after academician M. F. Reshetnev 31, Krasnoyarsky Rabochy Av., Krasnoyarsk, 660014, Russian Federation Е-mail: Saor_medvedev@sibsau.ru
The paper examines the modeling problem of discrete-continuous processes with a “tubular” structure in the space of the “input-output” variables. Modeling of processes in this class differs from the conventional parametric models represented the surface in the same space. One should apply the appropriate non-parametric indicators while building learning parametric models of the “tubular” processes. Some specific examples of “tubular” processes modeling are considered. It follows from them that the processes are in spaces of fractional dimension. The case of the function with multiple variables is given and the situation when these variables can “disappear” and “occur again” is analyzed. It is shown that the calculation of fractional dimension space can be realized in different ways.
a priori information, identification, nonparametric model, nonparametric algorithms, H-models, space of fractional dimension.
References

1. Medvedev A. V. Nonparametric approximation in adaptive systems theory. Works of Applied Methods of Statical Analysis. Simulation and Statistical Inference, Novosibirsk, SFU Publ., 2011.

2. Medvedev A. V. [Data analysis in the identification problem]. Kompyuternyy analiz dannyh modelirovaniya. Minsk, BGU Publ., 1995, vol. 2, p. 201–206. (In Russ.)

3. Medvedev A. V. [The theory of non-parametric systems. Modeling]. Vestnik SibGAU. 2010, vol. 30, no. 4, p. 4–9. (In Russ.)

4. Medvedev A. V. [H-models for non-inertia systems with a delay]. Vestnik SibGAU. 2012, vol. 45, no. 5, p. 84–89. (In Russ.)

5. Mondelbrot B. Fraktalnaya geometriya prirody [Fractal Geometry of Nature]. Moscow – Izhevsk, Iz-hevskiy institut kompyuternyh issledovaniy, NITS “Regu-lyarnaya i haoticheskaya dinamika” Publ., 2010, 656 p.

6. Arnold V. I. Teoriya katastrof [Catastrophe Theory]. Moscow, Nauka Publ., 1990.


Medvedev Alexander Vasil'yevich – Doctor of Engineering Science, professor, Siberian State Aerospace Univer-sity named after academician M. F. Reshetnev. E-mail: Saor_medvedev@sibsau.ru.