Numerically efficient methods and algorithms for parameter identification of mathematical models of stochastic systems with control and filtering
Main publications:
M.V. Kulikova, J.V. Tsyganova, “Constructing numerically stable Kalman filter-based algorithms for gradient-based adaptive filtering”, International Journal of Adaptive Control and Signal Processing, 29:11 (2015), 1411–1426
J.V. Tsyganova, M.V. Kulikova, “State Sensitivity Evaluation within UD based Array Covariance Filter”, IEEE Transactions on Automatic Control, 58:11 (2013), 2944–2950
I.V. Semushin,
J.V. Tsyganova, “Adaptation in Stochastic Dynamic Systems - Survey and New Results IV: Seeking Minimum of API in Parameters of Data”, Int. J. Communications, Network and System Sciences, 6:12 (2013), 513–518
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
Yu.V. Tsyganova, “Computing the gradient of the auxiliary quality functional in the parametric identification problem for stochastic systems”, Avtomat. i Telemekh., 2011, no. 9, 142–160; Autom. Remote Control, 72:9 (2011), 1925–1940
A. V. Tsyganov, J. V. Tsyganova, “A general approach to constructing gradient methods for parameter identification based on modified weighted Gram – Schmidt orthogonalization and information-type discrete filtering algorithms”, Computer Research and Modeling, 17:5 (2025), 761–782
2.
J. V. Tsyganova, D. V. Galushkina, A. N. Kuvshinova, “A square-root method for identifying the parameters of discrete-time linear stochastic systems with unknown input signals”, Zhurnal SVMO, 27:3 (2025), 341–363
2024
3.
K. O. Shakhbazyan, J. V. Tsyganova, “Automation of interpretation of psychological testing results using artificial intelligence”, Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2024, no. 2, 111–120
4.
A. V. Tsyganov, J. V. Tsyganova, R. I. Rakhimova, “Construction and analysis of mathematical models in state space for a cardiac pacemaker control system”, Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2024, no. 2, 99–110
5.
Yu. V. Tsyganova, A. V. Tsyganov, A. N. Kuvshinova, D. V. Galushkina, “Identification of parameters of convection–diffusion–reaction model and unknown boundary conditions in the presence of random noise in measurements”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 28:2 (2024), 345–366
M. A. Shugurova, A. V. Tsyganov, J. V. Tsyganova, “Analysis of methods for modeling human daily thermometry data”, Zhurnal SVMO, 24:4 (2022), 469–484
2021
7.
A. N. Kuvshinova, A. V. Tsyganov, J. V. Tsyganova, “Mathematical modeling of parameter identification process of convection-diffusion transport models using the SVD-based Kalman filter”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 25:4 (2021), 716–737
D. V. Reutov, J. V. Tsyganova, “Computer modeling of the dynamics of bank deposits”, Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2020, no. 1, 89–94
9.
A. A. Kalyanov, J. V. Tsyganova, “A brief overview of controller software development tools for mobile robotics”, Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2020, no. 1, 54–57
2019
10.
J. V. Tsyganova, T. N. Kureneva, “To the method of optimal discrete filtering of linear dynamic systems with state-dependent noises”, Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2019, no. 1, 120–125
11.
I. V. Semushin, J. V. Tsyganova, “Active adaptation of a distributed multi-sensor filtering system”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 23:4 (2019), 724–743
12.
A. V. Tsyganov, Yu. V. Tsyganova, A. V. Golubkov, I. O. Petrishchev, “Adaptive estimation of a moving object trajectory using sequential hypothesis testing”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 12:1 (2019), 156–162
J. V. Tsyganova, A. V. Tsyganov, “On the computation of derivatives within LD factorization of parametrized matrices”, Bulletin of Irkutsk State University. Series Mathematics, 23 (2018), 64–79
Yu. V. Tsyganova, M. V. Kulikova, “On modern array algorithms for optimal discrete filtering”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 11:4 (2018), 5–30
I. V. Semushin, A. V. Tsyganov, Yu. V. Tsyganova, A. V. Golubkov, S. D. Vinokurov, “Modelling and estimation of a moving object trajectory”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 10:3 (2017), 108–119
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”, Avtomat. i Telemekh., 2014, no. 8, 59–81; Autom. Remote Control, 75:8 (2014), 1402–1419
I. V. Semushin, J. V. Tsyganova, K. V. Zakharov, “Robust filter algorithms — survey and new results for ship navigation and conning systems”, Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2013, no. 4, 90–112
19.
J. V. Tsyganova, “On the UD filter implementation methods”, University proceedings. Volga region. Physical and mathematical sciences, 2013, no. 3, 84–104
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
Yu. V. Tsyganova, “Computing the gradient of the auxiliary quality functional in the parametric identification problem for stochastic systems”, Avtomat. i Telemekh., 2011, no. 9, 142–160; Autom. Remote Control, 72:9 (2011), 1925–1940
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