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A difference stochastic optimization procedure with impulse perturbation

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Abstract

The sufficient conditions are obtained for the convergence of the difference stochastic optimization procedure with impulse perturbations in a Markov environment under the conditions of exponential stability of the averaged system and smooth regression function of the source system. To this end, an asymptotic representation of the perturbed procedure generator is obtained.

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References

  1. M. B. Nevelson and R. Z. Khasminskii, Stochastic Approximation and Recurrent Estimation [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  2. L. Ljung, G. Pflug, and H. Walk, Stochastic Approximation and Optimization of Random Systems, Birkhauser Verlag, Basel–Boston–Berlin (1992).

    Book  MATH  Google Scholar 

  3. Ya. Z. Tsypkin, Fundamentals of Learning Systems Theory [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  4. A. V. Skorokhod, Asymptotic Methods of the Theory of Stochastic Differential Equations [in Russian], Naukova Dumka, Kyiv (1987).

    Google Scholar 

  5. V. Koroliuk and N. Limnios, Stochastic Systems in Merging Phase Space, World Sci. Publ., Singapore (2005).

    Book  MATH  Google Scholar 

  6. S. A. Semenyuk and Ya. M. Chabanyuk, “Fluctuations of a stochastic system under an asymptotic diffusive perturbation,” Cybern. Syst. Analysis, 44, No. 5, 716–721 (2008).

    Article  MathSciNet  MATH  Google Scholar 

  7. V. S. Korolyuk and V. V. Korolyuk, Stochastic Models of Systems, Kluwer Acad. Publ., Dordrecht (1999).

    Book  MATH  Google Scholar 

  8. Ya. M. Chabanyuk, “Continuous procedure of stochastic approximation with singular perturbation under balance conditions,” Cybern. Syst. Analysis, 42, No. 3, 420–425 (2006).

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. National University “Lviv Polytechnic”, Lviv, Ukraine

    U. T. Khimka & Ya. M. Chabanyuk

Authors
  1. U. T. Khimka
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  2. Ya. M. Chabanyuk
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Correspondence to U. T. Khimka.

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 5, September–October, 2013, pp. 145–151.

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Khimka, U.T., Chabanyuk, Y.M. A difference stochastic optimization procedure with impulse perturbation. Cybern Syst Anal 49, 768–773 (2013). https://doi.org/10.1007/s10559-013-9564-6

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  • DOI: https://doi.org/10.1007/s10559-013-9564-6

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