Software tools for analysis and synthesis of stochastic systems with high availability (XI)
- 1,2,3,4 FRC «Computer Science and Control» of RAS (Moscow, Russia)
Abstract
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.
- Received
- 03.02.2021
- Approved after review
- 17.02.2021
- Accepted
- 26.02.2021
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 (XI) // Системы высокой доступности. 2021. Т. 17. № 1. С. 25−40. DOI: https://doi.org/10.18127/j20729472-202101-02j20729472-202101-03
References
- Sinitsyn I.N., Sergeev I.V., Korepanov E.R., Konashenkova T.D. Instrumentalnoe programmnoe obespechenie analiza i sinteza stokhasticheskikh sistem vysokoi dostupnosti (IV). Sistemy vysokoi dostupnosti. 2017. T. 13. № 3. S. 55−59. (in Russian)
- Sinitsyn I.N., Sergeev I.V., Korepanov E.R., Konashenkova T.D. Instrumentalnoe programmnoe obespechenie analiza i sinteza stokhasticheskikh sistem vysokoi dostupnosti (V). Sistemy vysokoi dostupnosti. 2018. T. 14. № 1. S. 59−70. (in Russian)
- Sinitsyn I.N., Sergeev I.V., Korepanov E.R., Konashenkova T.D. Instrumentalnoe programmnoe obespechenie analiza i sinteza stokhasticheskikh sistem vysokoi dostupnosti (VI). Sistemy vysokoi dostupnosti. 2018. T. 14. № 2. S. 40−56. (in Russian)
- Sinitsyn I.N., Zhukov D.V., Korepanov E.R., Konashenkova T.D. Instrumentalnoe programmnoe obespechenie analiza i sinteza stokhasticheskikh sistem vysokoi dostupnosti (VII). Sistemy vysokoi dostupnosti. 2019. T. 15. № 1. S. 47−61. DOI (in Russian)
- Sinitsyn I.N., Zhukov D.V., Korepanov E.R., Konashenkova T.D. Instrumentalnoe programmnoe obespechenie analiza i sinteza stokhasticheskikh sistem vysokoi dostupnosti (VIII). Sistemy vysokoi dostupnosti. 2019. T. 15. № 1. S. 62−69. DOI (in Russian)
- Sinitsyn I.N., Zhukov D.V., Korepanov E.R., Konashenkova T.D. Razvitie pryamykh metodov analiticheskogo interpolyatsionnogo modelirovaniya raspredelenii v stokhasticheskikh sistemakh. Materialy XX Mezhdunar. nauchnoi konf. «Sistemy kompyuternoi matematiki i ikh prilozheniya». Smolensk: Izd-vo SmolGU. 2019. № 20. Ch. 1. S. 256−260. (in Russian)
- Sinitsyn I.N. Kanonicheskie predstavleniya sluchainykh funktsii i ikh primenenie v zadachakh kompyuternoi podderzhki nauchnykh issledovanii. M.: TORUS PRESS. 2009. 768 s. (in Russian)
- Dobeshi I. Desyat lektsii po veivletam. Moskva–Izhevsk: NITs «Regulyarnaya i khaoticheskaya dinamika». 2004. 464 s. (in Russian)
- Dremin I.M., Ivanov O.V., Nechitailo V.A. Veivlety i ikh ispolzovanie. UFN. 2001. T. 171. № 5. S. 465−501. (in Russian)
- Novikov I.Ya., Stechkin S.B. Osnovy teorii vspleskov. Uspekhi matematicheskikh nauk. 1998. T. 53. № 6(324) S. 53−126. (in Russian)
- Sinitsyn I.N., Sinitsyn V.I., Korepanov E.R., Konashenkova T.D. Optimizatsiya stokhasticheskikh sistem na osnove veivlet kanonicheskikh razlozhenii. Avtomatika i telemekhanika. 2020. № 11. S. 138−156. (in Russian)
- Polozhenie o TsKP «Informatika». [MATLAB R2019a] URL = http://www.frccsc.ru/ckp (data obrashcheniya 14.01.2020). (in Russian)