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Avtomatika i Telemekhanika, 2012, Issue 6, Pages 34–51 (Mi at3812)  

This article is cited in 11 scientific papers (total in 11 papers)

Stochastic Systems, Queuing Systems

On efficient parametric identification methods for linear discrete stochastic systems

Yu. V. Tsyganovaa, M. V. Kulikovab

a Ul'yanovsk State University, Ul'yanovsk, Russia
b Lisbon Technical University, Lisbon, Portugal
References:
Abstract: We construct a numerically stable algorithm (with respect to machine rounding errors) of adaptive Kalman filtering in order to solve the parametric identification problem for linear stationary stochastic discrete systems. We solve the problem in the state space. The proposed algorithm is formulated in terms of an orthogonal square-root covariance filter which lets us avoid a standard implementation of the Kalman filter.
Presented by the member of Editorial Board: A. V. Nazin

Received: 11.04.2011
English version:
Automation and Remote Control, 2012, Volume 73, Issue 6, Pages 962–975
DOI: https://doi.org/10.1134/S0005117912060033
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Yu. V. Tsyganova, M. V. Kulikova, “On efficient parametric identification methods for linear discrete stochastic systems”, Avtomat. i Telemekh., 2012, no. 6, 34–51; Autom. Remote Control, 73:6 (2012), 962–975
Citation in format AMSBIB
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\by Yu.~V.~Tsyganova, M.~V.~Kulikova
\paper On efficient parametric identification methods for linear discrete stochastic systems
\jour Avtomat. i Telemekh.
\yr 2012
\issue 6
\pages 34--51
\mathnet{http://mi.mathnet.ru/at3812}
\transl
\jour Autom. Remote Control
\yr 2012
\vol 73
\issue 6
\pages 962--975
\crossref{https://doi.org/10.1134/S0005117912060033}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84864565954}
Linking options:
  • https://www.mathnet.ru/eng/at3812
  • https://www.mathnet.ru/eng/at/y2012/i6/p34
  • This publication is cited in the following 11 articles:
    1. V. M. Chubich, S. O. Kulabukhova, “Robastnaya protsedura parametricheskoi identifikatsii stokhasticheskikh nelineinykh nepreryvno-diskretnykh sistem”, Sib. zhurn. industr. matem., 24:3 (2021), 138–149  mathnet  crossref
    2. V. M. Chubich, S. O. Kulabukhova, “Robust Parametric Identification Procedure for Stochastic Nonlinear Continuous-Discrete Systems”, J. Appl. Ind. Math., 15:3 (2021), 384  crossref
    3. Raillon L., Ghiaus C., “An Efficient Bayesian Experimental Calibration of Dynamic Thermal Models”, Energy, 152 (2018), 818–833  crossref  isi  scopus
    4. Yu. V. Tsyganova, A. V. Tsyganov, “O vychislenii znachenii proizvodnykh v LD-razlozhenii parametrizovannykh matrits”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 23 (2018), 64–79  mathnet  crossref
    5. Kulikova M.V., Tsyganova J.V., “A Unified Square-Root Approach For the Score and Fisher Information Matrix Computation in Linear Dynamic Systems”, Math. Comput. Simul., 119 (2016), 128–141  crossref  mathscinet  isi  elib  scopus
    6. Semushin I., Tsyganova J., Kulikova M., Tsyganov A., Peskov A., “Identification of Human Body Daily Temperature Dynamics Via Minimum State Prediction Error Method”, 2016 European Control Conference (Ecc), IEEE, 2016, 2429–2434  crossref  isi
    7. Kulikova M.V., Tsyganova J.V., Semushin I., “Adaptive Wave Filtering For Marine Vessels Within Ud-Based Algorithms”, 2016 European Control Conference (Ecc), IEEE, 2016, 807–812  crossref  isi  scopus
    8. M. V. Kulikova, J. V. Tsyganova, “Differentiating matrix orthogonal transformations”, Comput. Math. Math. Phys., 55:9 (2015), 1419–1431  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    9. Kulikova M.V., Tsyganova J.V., “Constructing Numerically Stable Kalman Filter-Based Algorithms For Gradient-Based Adaptive Filtering”, Int. J. Adapt. Control Signal Process., 29:11 (2015), 1411–1426  crossref  mathscinet  zmath  isi  elib  scopus
    10. M. V. Kulikova, Yu. V. Tsyganova, “A general approach to constructing parameter identification algorithms in the class of square root filters with orthogonal and J-orthogonal tranformations”, Autom. Remote Control, 75:8 (2014), 1402–1419  mathnet  crossref  isi
    11. Yu. V. Tsyganova, “O metodakh realizatsii UD-filtra”, Izvestiya vysshikh uchebnykh zavedenii. Povolzhskii region. Fiziko-matematicheskie nauki, 2013, no. 3, 84–104  mathnet
    Citing articles in Google Scholar: Russian citations, English citations
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