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Журнал
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ISSN: 2411-6467 (Print)
ISSN: 2413-9335 (Online)
Статьи, опубликованные в журнале, представляется читателям на условиях свободной лицензии CC BY-ND
ISSN: 2413-9335 (Online)
Статьи, опубликованные в журнале, представляется читателям на условиях свободной лицензии CC BY-ND
DISCRETE PLAYING OF PERSECUTION WITH LEVEL OF BRIGHTNESS OF DIGITAL IMAGE DESCRIBED BY SECOND ORDER EQUATIONS (20-29)
Науки и перечень статей вошедших в журнал:
DOI: 10.31618/ESU.2413-9335.2019.1.61.8
Дата публикации статьи в журнале: 2019/05/23
Название журнала: Евразийский Союз Ученых — публикация научных статей в ежемесячном научном журнале, Выпуск:
61, Том: 1,
Страницы в выпуске: 20-29
Автор:
Mamatov M. Sh.
, National University of Uzbekistan named after M. Ulugbek, Tashkent
, National University of Uzbekistan named after M. Ulugbek, Tashkent
Анотация: The work is devoted to the study of a class of discrete pursuit games with a digital image level, which is described by systems of second-order equations. Sufficient conditions are obtained for the possibility of completing the pursuit in discrete games with boundary conditions. When solving the problem of pursuit with the level of a digital image, Chebyshev polynomials of the second kind are used.
Ключевые слова:
pursuit,
evader,terminal set,pursuit control,runaway control ,
Данные для цитирования: Mamatov M. Sh. . DISCRETE PLAYING OF PERSECUTION WITH LEVEL OF BRIGHTNESS OF DIGITAL IMAGE DESCRIBED BY SECOND ORDER EQUATIONS (20-29) // Евразийский Союз Ученых — публикация научных статей в ежемесячном научном журнале.
Физико-математические науки.
2019/05/23;
61(1):20-29.
10.31618/ESU.2413-9335.2019.1.61.8
Список литературы: [1] Godunov S.K., Ryabenky V.S. Difference schemes. - M .: Science, 1977, 440 p.
[2] Samara A.A., Nikolaev E.S. Methods for solving grid equations. - M .: Science, 1978, 570 p.
[3] Pashkovsky S. Computational applications of polynomials and Chebyshev series. - M .: Science, 1983, 487 p.
[4] Isaacs R. Differential games .- M .: Mir, 1967, 500 p.
[5] Azamov A.A. Foundations of the theory of discrete games. - Tashkent .: Niso Poligraf, 2011, 160 p.
[6] Dzyubenko G.Ts., Pshenichny B.N. Discrete differential games with information lag // Cybernetics, 1972, №6, p.65-71.
[7] Mamatov M.Sh. On the theory of differential games of pursuit in systems with distributed parameters
// Automation and Computer Sciences, 2009, № 1, p. 514.
[8] Mamatov M.Sh. On the application of the finite difference method to solving the problem of pursuit in systems with distributed parameters // Automation and Remote Control, 2009, № 8, p.123-132.
[9] Mamatov M.Sh., Alimov Kh.N. On solving the problem of pursuit in high-order controlled distributed systems // Mathematical works, 2013, v.16, №2, p.1-16. [10] Mamatov M.Sh., Tukhtasinov M. About the pursuit problem in distributed controlled systems // Cybernetics and Systems Analysis, 2009, V. 45, No. 2, p. 153-158.
[11] Chikriy A.A. On linear discrete quality games // Cybernetics. - Kiev. 1971. - № 5. - C. 90-99.
[12] Chikriy A.A., Chikriy G.Ts. On awareness in discrete game problems // Cybernetics, 1979, № 5, p. 126-128.
[13] Fazylov A.Z. The existence of the nucleus of a convex set in linear discrete control systems // Mathematical Notes, 1995, vol.58, №1, p.119-126.
[14] Satimov N. Yu. On two methods of pursuit in linear discrete games // DAN Uz SSR, 1979, No. 11, p. 3-4.
[15] Satimov N. Yu. The problem of runaway for one class of nonlinear discrete games // Techn. Cybern. Izv. Academy of Sciences of the USSR, 1973, v. 9, No. 6, p.45-48.
[16] Satimov N. Yu., Azamov A.A. Nonlinear discrete games of runaway // Cybernetics, 1976, №4, pp.79-74.
[17] Pontryagin L.S. Linear differential pursuit games // Mat. Collection, 1980, Vol. 112, No. 3, p. 307330.