canonical expansion
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Author(s):  
I.N. Sinitsyn ◽  
V.I. Sinitsyn ◽  
E.R. Korepanov ◽  
T.D. Konashenkova

The article proceeds the thematic cycle dedicated to software tools for stochastic systems with high availability (StSHA) functioning at shock disturbances (ShD) and is dedicated to wavelet synthesis according to complex statistical criteria (CsC). Short survey concerning corresponding works for mean square criteria (msc) is given. In Sect.1 basic CsC definitions and approaches are given. Sect. 2 dedicated to CsC wavelet necessary and sufficient conditions of optimality for scalar non-stationary shock StSHA (StSSHA). Methodological support is based on Haar wavelets. Sect. 4 and Sect.5 are devoted to CSK optimization ShStSHA (basic wavelet equations, algorithms, software tools and example). Several advantages of wavelet algorithms and tools are described and stated for complex ShD. Some generalization of CsC algorithms based on wavelet canonical expansion of StP in ShStSHA mentioned.


2020 ◽  
Vol 106 (2) ◽  
pp. 95-103
Author(s):  
V. Shebanin ◽  

To determine the optimal parameters of machines for isolating the seed mass of vegetable and melon crops, a modeling method is presented, which is based on the nonlinear canonical decomposition of a random vector. A block diagram of the procedure for calculating the parameters of the canonical expansion is presented. The method of mathematical modeling was tested in the study of the technological process of separating melon seeds on an experimental installation. Mathematical models of the third order for purity and loss of seeds are presented, describing the technological process of separation for melon seeds.


2018 ◽  
Vol 3 (2 (93)) ◽  
pp. 33-41
Author(s):  
Vitalii Savchenko ◽  
Oleksander Matsko ◽  
Oleh Vorobiov ◽  
Yaroslav Kizyak ◽  
Larysa Kriuchkova ◽  
...  

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