V. V. Solodovnikov, V. V. Semenov, M. Peschel and D. Nedo, “Design of Control Systems on Digital Computers Spectral and Interpolational Methods,” Verlag Technik, Berlin; Maschinostrojenije, Moscow, 1979. (In German W. W. Solodownikow, W. W. Semjonow, M. Peschel and D. Nedo, “Berechnung von Regelsystemen auf Digital rechnern Anwendung von Spektral und Interpolation smethoden,” Verlag Technik, Berlin, 1979; In Russian В. В. Солодовников, В. В. Семенов, М. Пешель, Д. Недо, “Расчет систем управления на ЦВМ спектральный и интерполяционный методы,” Машиностроение, Мо сква, 1979.) - References

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V. V. Solodovnikov, V. V. Semenov, M. Peschel and D. Nedo, “Design of Control Systems on Digital Computers: Spectral and Interpolational Methods,” Verlag Technik, Berlin; Maschinostrojenije, Moscow, 1979. (In German: W. W. Solodownikow, W. W. Semjonow, M. Peschel and D. Nedo, “Berechnung von Regelsystemen auf Digital rechnern: Anwendung von Spektral und Interpolation smethoden,” Verlag Technik, Berlin, 1979; In Russian: В. В. Солодовников, В. В. Семенов, М. Пешель, Д. Недо, “Расчет систем управления на ЦВМ: спектральный и интерполяционный методы,” Машиностроение, Мо сква, 1979.)

has been cited by the following article:

TITLE: Analysis of Nonlinear Stochastic Systems with Jumps Generated by Erlang Flow of Events

AUTHORS: Alexander S. Kozhevnikov, Konstantin A. Rybakov

KEYWORDS: Analysis; Erlang Flow of Events; Generalized Fokker-Planck Equations; Random Impulses; Jump-Diffusion Process; Spectral Characteristic; Spectral Method Formalism; Stochastic System

JOURNAL NAME: Open Journal of Applied Sciences, Vol.3 No.1, March 29, 2013

ABSTRACT: In this paper we consider the stochastic systems with jumps (random impulses) generated by Erlang flow of events that lead to discontinuities in paths. These systems may be used in various applications such as a control of complex technical systems, financial mathematics, mathematical biology and medicine. We propose to use a spectral method formalism to the probabilistic analysis problem for the stochastic systems with jumps. This method allows to get a solution of the analysis problem in an explicit form.

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