The authors analyze asymptotic dissipation of pre-limit normalized stochastic evolutionary system in ergodic Markov environment, which significantly influences the behavior of the limiting process.
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*The study was financially supported by the grant of the President of Ukraine (Project 0117U007015 of the State Fund for Fundamental Research).
Translated from Kibernetika i Sistemnyi Analiz, No. 2, March–April, 2018, pp. 38–44.
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Samoilenko, I.V., Chabanyuk, Y.M. & Nikitin, A.V. Asymptotic Dissipativity of Random Processes with Impulse Perturbation in the Poisson Approximation Scheme*. Cybern Syst Anal 54, 205–211 (2018). https://doi.org/10.1007/s10559-018-0021-4
- Markov process
- Poisson approximation