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Determination of the mean and mean-square deviations of the system level

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Abstract

The stepwise process of a semi-Markovian random walk with two delaying screens is considered. A mathematical model of the considered process is constructed, and a double Laplace transform for conditional and unconditional distributions of the process is obtained, as well as a Laplace transform for the ergodic distribution of the process and its first and second moments, which depend on two parameters, specifically, the input parameter and output parameters. These parameters may be used to control the state of the process.

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Correspondence to R. I. Sadykova.

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Original Russian Text © T.I. Nasirova, R.I. Sadykova, E.A. Ibaev, 2015, published in Avtomatika i Vychislitel’naya Tekhnika, 2015, No. 1, pp. 53–63.

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Nasirova, T.I., Sadykova, R.I. & Ibaev, E.A. Determination of the mean and mean-square deviations of the system level. Aut. Control Comp. Sci. 49, 37–45 (2015). https://doi.org/10.3103/S014641161501006X

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  • DOI: https://doi.org/10.3103/S014641161501006X

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