I.N. Sinitsyn – Dr.Sc.(Eng.), Professor, Main Research Scientist, 

V.I. Sinitsyn – Dr.Sc.(Phys.-Math.), Main Research Scientist, 

E.R. Korepanov – Ph.D.(Eng.), Leading Research Scientist, 

T.D. Konashenkova – Leading Programmer.

The article proceeds the thematic cycle dedicated to software tools for stochastic system (StS) with high availability (StSHA) functioning at short disturbances (ShD) (mechanical, electromagnetic etc.). Introduction is dedicated to short survey of short theory of StS. Both deterministic and stochastic approaches are considered. StSHA are treated as industrial products with methodological and instrumental errors. Main probabilistic shock characteristics based on risk and sensitivity theory are introduced and discussed. Section 2 is dedicated to stochastic nonlinear error Eqs for shock StSHA. Special at tension is paid to linear Eqs, linear Eqs with shock parametric noises and quasilinear nonlinear stochastic Eqs. It is supposed that during shock time nonlinear effects are small. In Sections 3−5 theory of systematic and stochastic accumulative errors is presented. Accuracy theory is based on wavelet expansions and wavelet canonical expansions. In Section 6 accuracy of precise information control StSHA is investigated. At first error Eqs doe 3dimensional quasilinear differential StS in Ito (or Stratonovich) form is considered. Based on normal approximation method (NAM) Eqs for mathematical expectations, covariance matrix and matrix of covariance function are given. Instrumental accuracy is considered at following error sources: dynamic bias (depending upon temperature, electromagnetic fields etc.); linear deviation of scale factor; nonlinear polynomial deviations of scale factor.

At practice the level of dynamic bias, dissipation, hysteresis and deviation of scale factor exceeds methodological errors. For StSHA the described express off-line accuracy wavelet algorithms gives opportunity of express estimation of complex ShD.

Sinitsyn I.N., Sinitsyn V.I., Korepanov E.R., Konashenkova T.D. Software tools for analysis and synthesis of stochastic systems with high availability (IX). Highly Available Systems. 2020. V. 16. № 4. P. 5−23. DOI: 10.18127/j20729472-202004-01. (In Russian).

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