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Cybernetics and Systems Analysis

, Volume 54, Issue 2, pp 205–211 | Cite as

Asymptotic Dissipativity of Random Processes with Impulse Perturbation in the Poisson Approximation Scheme*

  • I. V. Samoilenko
  • Y. M. Chabanyuk
  • A. V. Nikitin
Article
  • 17 Downloads

Abstract

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.

Keywords

dissipation Markov process generator Poisson approximation 

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • I. V. Samoilenko
    • 1
  • Y. M. Chabanyuk
    • 2
  • A. V. Nikitin
    • 1
  1. 1.Taras Shevchenko National University of KyivKyivUkraine
  2. 2.Lublin University of Technology (Politechnika Lubelska)LublinPoland

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