Abstract:
This paper proposes an iterative method which, in a number of cases, enables to effectively find sufficient conditions for the existence of an ergodic distribution in nonlinear systems with varying structure of service of conflict flows.
Citation:
M. A. Fedotkin, “On the existence of an ergodic distribution in a system of varying structure under optimal service of conflict flows”, Teor. Veroyatnost. i Primenen., 21:4 (1976), 792–801; Theory Probab. Appl., 21:4 (1977), 770–779
\Bibitem{Fed76}
\by M.~A.~Fedotkin
\paper On the existence of an ergodic distribution in a~system of varying structure under optimal service of conflict flows
\jour Teor. Veroyatnost. i Primenen.
\yr 1976
\vol 21
\issue 4
\pages 792--801
\mathnet{http://mi.mathnet.ru/tvp3423}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=426202}
\zmath{https://zbmath.org/?q=an:0387.60109}
\transl
\jour Theory Probab. Appl.
\yr 1977
\vol 21
\issue 4
\pages 770--779
\crossref{https://doi.org/10.1137/1121089}
Linking options:
https://www.mathnet.ru/eng/tvp3423
https://www.mathnet.ru/eng/tvp/v21/i4/p792
This publication is cited in the following 3 articles:
Fedotkin A.M., “Opredelenie statsionarnogo rezhima rekurrentnykh markovskikh tsepei iterativno-mazhorantnym metodom”, Vestn. Nizhegorodskogo un-ta im. N. I. Lobachevskogo, 2009, no. 4, 130–140
M. A. Fedotkin, A. M. Fedotkin, “Analysis and optimization of output processes of conflicting Gnedenko–Kovalenko traffic streams under cyclic control”, Autom. Remote Control, 70:12 (2009), 2024–2038
Yu. F. Yakushev, “Optimal service of conflict flows”, Theory Probab. Appl., 35:1 (1990), 184–190
Citation in format AMSBIB
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