Software tools for analysis and synthesis of stochastic systems with high availability (XIII)

I.N. Sinitsyn; V.I. Sinitsyn; E.R. Korepanov; T.D. Konashenkova

doi:10.18127/j20729472-202103-04

Software tools for analysis and synthesis of stochastic systems with high availability (XIII)

I.N. Sinitsyn¹, V.I. Sinitsyn², E.R. Korepanov³, T.D. Konashenkova⁴

research article UDC 621 Pages: 39-58 doi.org/10.18127/j20729472-202103-04

Keywords: Methodological support software tools stochastic system (StS)vector StS with high availability wavelet canonical expansion wavelet expansion

Abstract

Article is dedicated to methodological support and software tools for analysis and synthesis of stochastic systems with high availability at nonstationary (e.g. shock) disturbances. The methodology is based on Haar wavelet expansions and wavelet canonical expansions. Theory of vector complex statistical criterion is developed. Basic general vector algorithm is for complex statistical criteria worked out.

Partial algorithm in case of parameters linear approximation and additive vector noises is given. Special section is devoted to software tools. Test examples and computer experiments. For shock disturbances wavelet technologies have evident advantages. Results were used for accuracy analysis and optimization in case of vector complex statistical criteria in shock stochastic information-control system with high availability.

Received: 05.08.2021
Approved after review: 17.08.2021
Accepted: 26.08.2021

How to cite

Синицын И.Н., Синицын В.И., Корепанов Э.Р., Конашенкова Т.Д. Инструментальное программное обеспечение анализа и синтеза стохастических систем высокой доступности (XIII) // Системы высокой доступности. 2021. Т. 17. № 3. С. 16–35. DOI: https://doi.org/ 10.18127/j20729472-202103-04

References

Sinicyn I.N., Sergeev I.V., Korepanov E.R., Konashenkova T.D. Instrumental'noe programmnoe obespechenie analiza i sinteza stohasticheskih sistem vysokoj dostupnosti (IV). Sistemy vysokoj dostupnosti. 2017. T. 13. № 3. S. 55–59 (In Russian).
Sinicyn I.N., Sergeev I.V., Korepanov E.R., Konashenkova T.D. Instrumental'noe programmnoe obespechenie analiza i sinteza stohasticheskih sistem vysokoj dostupnosti (V). Sistemy vysokoj dostupnosti. 2018. T. 14. № 1. S. 59–70 (In Russian).
Sinicyn I.N., Sergeev I.V., Korepanov E.R., Konashenkova T.D. Instrumental'noe programmnoe obespechenie analiza i sinteza stohasticheskih sistem vysokoj dostupnosti (VI). Sistemy vysokoj dostupnosti. 2018. T. 14, № 2. S. 40–56 (In Russian).
Sinicyn I.N., Zhukov D.V., Korepanov E.R., Konashenkova T.D. Instrumental'noe programmnoe obespechenie analiza i sinteza stohasticheskih sistem vysokoj dostupnosti (VII). Sistemy vysokoj dostupnosti. 2019. T. 15. № 1. S. 47–61 (In Russian).
Sinicyn I.N., Zhukov D.V., Korepanov E.R., Konashenkova T.D. Instrumental'noe programmnoe obespechenie analiza i sinteza stohasticheskih sistem vysokoj dostupnosti (VIII). Sistemy vysokoj dostupnosti. 2019. T. 15. № 1. S. 62–69 (In Russian).
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Sinicyn I.N., Sinicyn V.I., Korepanov E.R., Konashenkova T.D. Razvitie pryamyh metodov analiticheskogo interpolyacionnogo modelirovaniya raspredelenij v stohasticheskih sistemah. Sistemy komp'yuternoj matematiki i ih prilozheniya: Materialy XXII Mezhdunar. nauch. konf. Smolensk: Izd-vo SmolGU. 2021 (v pechati) (In Russian).
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[1] Sinicyn I.N., Sergeev I.V., Korepanov E.R., Konashenkova T.D. Instrumental'noe programmnoe obespechenie analiza i sinteza stohasticheskih sistem vysokoj dostupnosti (IV). Sistemy vysokoj dostupnosti. 2017. T. 13. № 3. S. 55–59 (In Russian).

[2] Sinicyn I.N., Sergeev I.V., Korepanov E.R., Konashenkova T.D. Instrumental'noe programmnoe obespechenie analiza i sinteza stohasticheskih sistem vysokoj dostupnosti (V). Sistemy vysokoj dostupnosti. 2018. T. 14. № 1. S. 59–70 (In Russian).

[3] Sinicyn I.N., Sergeev I.V., Korepanov E.R., Konashenkova T.D. Instrumental'noe programmnoe obespechenie analiza i sinteza stohasticheskih sistem vysokoj dostupnosti (VI). Sistemy vysokoj dostupnosti. 2018. T. 14, № 2. S. 40–56 (In Russian).

[4] Sinicyn I.N., Zhukov D.V., Korepanov E.R., Konashenkova T.D. Instrumental'noe programmnoe obespechenie analiza i sinteza stohasticheskih sistem vysokoj dostupnosti (VII). Sistemy vysokoj dostupnosti. 2019. T. 15. № 1. S. 47–61 (In Russian).

[5] Sinicyn I.N., Zhukov D.V., Korepanov E.R., Konashenkova T.D. Instrumental'noe programmnoe obespechenie analiza i sinteza stohasticheskih sistem vysokoj dostupnosti (VIII). Sistemy vysokoj dostupnosti. 2019. T. 15. № 1. S. 62–69 (In Russian).

[6] Sinicyn I.N., Zhukov D.V., Korepanov E.R., Konashenkova T.D. Razvitie pryamyh metodov analiticheskogo interpolyacionnogo modelirovaniya raspredelenij v stohasticheskih sistemah. Sistemy komp'yuternoj matematiki i ih prilozheniya: Materialy XX Mezhdunar. nauch. konf. Smolensk: Izd-vo SmolGU. 2019. Vyp. 20. Ch. 1. S. 256–260 (In Russian).

[7] Sinicyn I.N. Kanonicheskie predstavleniya sluchajnyh funkcij i ih primenenie v zadacha komp'yuternoj podderzhki nauchny- issledovanij. M.: TORUS PRESS. 2009. 768 s. (In Russian).

[8] Sinicyn I.N., Sinicyn V.I., Korepanov E.R., Konashenkova T.D. Instrumental'noe programmnoe obespechenie analiza i sinteza stohasticheskih sistem vysokoj dostupnosti (XI). Sistemy vysokoj dostupnosti. 2021. T. 17. № 1. S. 25−40. DOI: https://doi.org/10.18127/j20729472-202101-02j20729472-202101-03 (In Russian).

[9] Sinicyn I.N., Sinicyn V.I., Korepanov E.R., Konashenkova T.D. Razvitie pryamyh metodov analiticheskogo interpolyacionnogo modelirovaniya raspredelenij v stohasticheskih sistemah. Sistemy komp'yuternoj matematiki i ih prilozheniya: Materialy XXII Mezhdunar. nauch. konf. Smolensk: Izd-vo SmolGU. 2021 (v pechati) (In Russian).

[10] Dobeshi I. Desyat' lekcij po vejvletam. M.–Izhevsk: NIC "Regulyarnaya i haoticheskaya dinamika", 2004. 464 s. (In Russian).

[11] Dremin I.M., Ivanov O.V., Nechitajlo V.A. Vejvlety i ih ispol'zovanie. UFN. 2001. T. 171. № 5. S. 465–501 (In Russian).

[12] Novikov I.Ya., Stechkin S.B. Osnovy teorii vspleskov. Uspekhi matematicheskih nauk. 1998. T. 53. № 6(324). S. 53–126 (In Russian).

[13] Polozhenie o CKP "Informatika". [MATLAB R2019a] Rezhim dostupa http://www.frccsc.ru/ckp (data obrashcheniya 14.01.2020) (In Russian).

Abstract

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