Journal Highly available systems №1 for 2018 г.
Article in number:
Software tools for analysis and synthesis of stochastic systems with high abailability (V)
Type of article: scientific article
UDC: 621
Keywords: analytical modeling canonical expansion of vector random function (CEVRF) matrix of covariance functions random function (RF) statistical modeling wavelet canonical expansion (WLCE)
Authors:

I.N. Sinitsyn – Dr.Sc.(Eng.), Professor, Main Research Scientist, FRC «Computer Science and Control» RAS (Moscow) E-mail: sinitsin@dol.ru

I.V. Sergeev – Ph.D.(Eng.), Deputy Director of FRC «Computer Science and Control» RAS (Moscow) E-mail: isergeev@ipiran.ru

E.R. Korepanov – Ph.D.(Eng.), Leading Research Scientist, FRC «Computer Science and Control» RAS (Moscow) E-mail: ekorepanov@ipiran.ru

T.D. Konashenkova – Leading Programmer, FRC «Computer Science and Control» RAS (Moscow) E-mail: tkonzshenkova@ipiran.ru

Abstract:

The article proceeds the thematic cycle dedicated to software tools for analysis and synthesis of vector stochastic systems with high availability. Software tools in MATLAB are based on wavelet canonical expansions for the express modeling. In Section 1 the problem statement is given. Section 2 contains elements of vector canonical expansions. In Section 2 basic theorem for recursive algorithm for synthesis wavelet canonical expansions for vector random function with known matrix of covariance functions is proved. Method of wavelet canonical expansions synthesis is based on the orthogonal expansion of elements of matrix of covariance functions by two dimensional Dobeshi wavelets. Software tools are based on wavelet MATLAB tools and the proved algorithm. In Appendix test examples are discussed.

Pages: 59-70
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Date of receipt: 10 января 2018 г.