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JOURNALS // Chebyshevskii Sbornik // Archive

Chebyshevskii Sb., 2018 Volume 19, Issue 2, Pages 248–258 (Mi cheb653)

This article is cited 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

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.

UDC: 681.5 (519.95)

Received: 23.05.2018
Accepted: 17.08.2018

DOI: 10.22405/2226-8383-2018-19-2-248-258



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