Papers by Serhiy Semenyuk
Bookmarks Related papers MentionsView impact
We discuss asymptotic properties of the fluctuations of an evolution system with Markov impulsive... more We discuss asymptotic properties of the fluctuations of an evolution system with Markov impulsive perturbations. Under balance conditions, the normalized fluctuation converges weakly to a diffusion process with Wiener perturbations. To achieve this, we construct a generator for the limit process solving the singular perturbation problem for the original system and taking into account the asymptotic normality of the impulsive perturbation.
Bookmarks Related papers MentionsView impact
In this paper, we consider the mathematical model of bacterium infection spread in a random envir... more In this paper, we consider the mathematical model of bacterium infection spread in a random environment. This problem is quite important in microbiology, because experiment can not always be conducted. We utilized stochastic approximation proce-dure (SAP) to study the asymptotic behavior of the virus concentration and conducted the numerical experiments.
Bookmarks Related papers MentionsView impact
In this paper we discuss asymptotic behavior of the stochastic approximation procedure in case wh... more In this paper we discuss asymptotic behavior of the stochastic approximation procedure in case when the regression function is perturbed by the Markov impulsive process. Also we consider the stochastic approximation procedure stability conditions in the terms of existence of Lyapunov's function for the averaged evolution system.
Bookmarks Related papers MentionsView impact
The mathematical simulation of the converter output voltage shaping based on the multiphase reson... more The mathematical simulation of the converter output voltage shaping based on the multiphase resonance converter has been carried out. The design formulae of the output voltage, output voltage proportionality coefficients and output voltage ripples coefficients and the phase number are given.
Bookmarks Related papers MentionsView impact
Bookmarks Related papers MentionsView impact
Bookmarks Related papers MentionsView impact
Cybernetics and Systems Analysis, 2009
A stochastic approximation procedure with a singularly perturbed regression function is considere... more A stochastic approximation procedure with a singularly perturbed regression function is considered. The form of the limit process is obtained that corresponds to the fluctuation of the stochastic approximation procedure in the neighborhood of an equilibrium point. A generator for the limit process is also constructed. The solution of the singular perturbation problem is given for the asymptotic representation of the generator of a Markov renewal process. The results obtained allow one to extend the possibilities of investigation of the asymptotic behavior of the procedure itself.
Bookmarks Related papers MentionsView impact
Cybernetics and Systems Analysis, 2008
... a Institute of Applied Mathematics and Fundamental Sciences of National University Lvivs... more ... a Institute of Applied Mathematics and Fundamental Sciences of National University Lvivs'ka Politekhnika, Lvov, Ukraine, semenyuk@gmail.com; yaroslav_chab@yahoo. com. ... L w c w w B w w ju u ju ju u ( , ) ( ) 1 2 where c dx C x X ...
Bookmarks Related papers MentionsView impact
Bookmarks Related papers MentionsView impact
Theoretical and Applied Aspects of Cybernetics. Proceedings of the 4th International Scientific C... more Theoretical and Applied Aspects of Cybernetics. Proceedings of the 4th International Scientific Conference of Students and Young Scientists — Kyiv: Bukrek, 2014. — 340 p.
Bookmarks Related papers MentionsView impact
Uploads
Papers by Serhiy Semenyuk