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Chebyshevskii Sbornik, 2018, Volume 19, Issue 2, Pages 248–258
DOI: https://doi.org/10.22405/2226-8383-2018-19-2-248-258
(Mi cheb653)
 

This article is cited in 2 scientific papers (total in 2 papers)

The parallel semi-Markov processes in objects group control tasks

A. N. Privalova, E. V. Larkinb

a Tula State Pedagogical University
b Tula State University
Full-text PDF (384 kB) Citations (2)
References:
Abstract: Functioning of complex objects, controlled with computer, is investigates. It id shown, that the abstract analogue of every control loop is the ordinary semi-Markov process. Such abstraction is insufficient for analytical modeling the object as a whole, this is why for the description of synchronizing processes it is necessary to have more complex model, which may be obtained by means integration of ordinary processes into complex semi-Markov processes. For determining of the abstraction the term “functional state”, as all possible combination of structural states is introduced. The method of calculation of complex process semi-Markov matrix elements is proposed. It is shown, how may be evaluated time intervals of wandering through complex semi-Markov process.
Keywords: group control, ergodic semi-Markov process, ctate combination, Cartesian product of semi-Markov matrices, wandering.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 2.3121.2017/ПЧ
Received: 23.05.2018
Accepted: 17.08.2018
Bibliographic databases:
Document Type: Article
UDC: 681.5 (519.95)
Language: Russian
Citation: A. N. Privalov, E. V. Larkin, “The parallel semi-Markov processes in objects group control tasks”, Chebyshevskii Sb., 19:2 (2018), 248–258
Citation in format AMSBIB
\Bibitem{PriLar18}
\by A.~N.~Privalov, E.~V.~Larkin
\paper The parallel semi-Markov processes in objects group control tasks
\jour Chebyshevskii Sb.
\yr 2018
\vol 19
\issue 2
\pages 248--258
\mathnet{http://mi.mathnet.ru/cheb653}
\crossref{https://doi.org/10.22405/2226-8383-2018-19-2-248-258}
\elib{https://elibrary.ru/item.asp?id=37112153}
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  • https://www.mathnet.ru/eng/cheb/v19/i2/p248
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:150
    Full-text PDF :65
    References:18
     
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