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Personal data |
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Education and degrees |
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Experience in scientific institutes |
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Teaching experience |
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Research interests |
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Participation in scientific projects |
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Selected publications |
| Personal data: |
Last name: Lomov
First name: Andrei
Middle name: Aleksandrovich
Data of birth: January 14, 1963 (Krasnoyarsk, Russia)
Languages: Russian (native language), English
| Education and degrees: |
1980-1985 - Department of Physics, Novosibirsk State University (Novosibirsk).
1985 - Diploma (M. Sc.), Novosibirsk State University (Novosibirsk).
1985-1987 - Probationer-researcher, Institute of Automation and Electrometry of the Siberian Branch of the USSR Academy of Sciences (Novosibirsk).
1993 - Candidate of Physical and Mathematical Sciences (Ph. D.), Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences (Novosibirsk), Ph. D. Thesis "Structural Identifiability of Linear Parametric Models".
2012 - Doctor of Physical and Mathematical Sciences (D. Sc.), Institute for System Dynamics and Control Theory of the Siberian Branch of the Russian Academy of Sciences (Irkutsk), D. Sc. Thesis "Identifiability and variational parameter estimation in linear stationary discrete dynamic systems".
| Experience in scientific institutes: |
1987-1988 - Junior Scientific Researcher, Institute of Automation and Electrometry of the Siberian Branch of the USSR Academy of Sciences (Novosibirsk).
1988-1993 - Junior
Scientific Researcher, Institute of Mathematics of the Siberian Branch of the
USSR Academy of Sciences (Novosibirsk).
1993-1994 - Scientific Researcher, Institute of Mathematics of the Siberian
Branch of the Russian Academy of Sciences (Novosibirsk).
1994-present - Senior Scientific Researcher, Sobolev Institute of Mathematics of
the Siberian Branch of the Russian Academy of Sciences (Novosibirsk).
| Teaching experience: |
1995-2001 - Assistant Lecturer, Novosibirsk State University (Novosibirsk). ("Probability Theory and Mathematical Statistics")
2005-2010 - Senior Lecturer, Novosibirsk State University (Novosibirsk). ("Basics of Control Theory")
2010-present - Associate Professor, Novosibirsk State University (Novosibirsk). ("Basics of Control Theory")
| Research interests: |
Inverse problems for linear matrix differential and difference stochastic equations, stochastic systems and control
| Participation in scientific projects: |
Project "Parameter Identifiability of Linear Matrix Differential and Difference Stochastic Equations", supported by the Russian Foundation for Basic Research (RFBR), no. 01-01-00627 (2001-2003; head)
Project "Optimal Control in Real-Time Mode for Dynamic Systems with an Incomplete Information", supported by RFBR, no. 06-01-00776 (2006-2008)
Project no. 85 "Qualitative and Numerical Analysis of Evolution Equations and Controllable Systems", supported by the Siberian Branch of the Russian Academy of Sciences (2009-2011)
Project "Numerical Methods for Solving Direct and Inverse Problems for Differential, Difference and Delay Equations", supported by RFBR, no. 10-01-00035 (2010-2012)
Interdisciplinary integration project no. 80 "Differential-Difference and Integro-Differential Equations. Applications to Problems of the Natural Sciences", supported by the Siberian Branch of the Russian Academy of Sciences (2012-2014)
Project "Algorithms and Numerical Methods for Solving Direct and Inverse Problems for Differential-Difference Equations", supported by RFBR, no. 13-01-00329 (2013-2015)
| Selected publications: |
1. Correct
parametrizations of linear models. Siberian Adv. Math., 4 (1994), no. 1,
pp. 95-113.
2. Minimal descriptions of stationary linear models. In: Models and Methods of
Optimization. Novosibirsk: Institut Matematiki SO RAN. Tr. Inst. Mat. SO RAN. 28
(1994), pp. 91-117. (Russian)
3. Limit of the transfer function of a linear matrix differential equation at
infinity. Avtom. Telemekh., 1996, no. 12, pp. 25-29; English transl. in Autom.
Remote Control, 57 (1996), no. 12, pt. 1, pp. 1709-1712.
4. Identification of linear dynamic systems by short parts of transients with
additive measuring disturbances. Izv. Akad. Nauk, Teor. Sist. Upr., 1997,
no. 3, pp. 20-26; English transl. in J. Comput. Syst. Sci. Int., 36
(1997), no. 3, pp. 346-352.
5. Identifiability of ARMAX systems with short operating records. Proceedings of
the 2nd Symposium on Automatic Control. Domínguez, J.S. and Bestard, G.A.
(eds.). La Habana: Instituto de Cibernetica, Matematica & Fisica, 1999, pp.
207-221.
6. Stochastic linear system classification based on complexity of identifiability conditions. Proceedings of the 3rd Symposium on Automatic Control. Del Pozo Quintero, A. (ed.) et al. La Habana: Instituto de Cibernetica, Matematica & Fisica, 2001, pp. 257-265.
7. Parametric identifiability of linear stochastic systems by observations of intervals with finite trajectories. Izv. Akad. Nauk, Teor. Sist. Upr., 2002, no. 2, pp. 53-58; English transl. in J. Comput. Syst. Sci. Int., 41 (2002), no. 2, pp. 213-218.
8. Identifiability of
time-invariant linear models by transient signal observations. Proceedings of
the IASTED International Conference on Automation, Control, and Information
Technology. Anaheim-Calgary-Zurich: ACTA Press, 2002, pp. 507-512.
9. Distinguishability conditions for stationary linear systems. Differ.
Uravn., 39 (2003), no. 2, pp. 261-266; English transl. in Differ.
Equations, 39 (2003), no. 2, pp. 283-288.
10. On identifiability of stationary linear systems with coefficients that
depend on a parameter. Sib. Zh. Ind. Mat., 6 (2003), no. 4, pp. 60-66.
(Russian)
11. Comparison of methods for estimating the parameters of linear dynamical
systems from measurements of short sections of transient processes. Avtom.
Telemekh., 2005, no. 3, pp. 39-47; English transl. in Autom. Remote
Control, 66 (2005), no. 3, pp. 373-381.
12. The multivariate orthogonal regression methods of parameter estimation and trend separation in linear systems. Differential Equations and Control Processes, 2005, no. 2, pp. 1-86. (Russian)
13. Orthogonal regression estimates of linear difference equation system parameters. Sib. Zh. Ind. Mat., 8 (2005), no. 3, pp. 102-119; English transl. in J. Appl. Ind. Math., 1 (2007), no. 1, pp. 59-76.
14. Signal restoration in linear systems with trends. Avtom. Telemekh., 2008, no. 7, pp. 29-36; English transl. in Autom. Remote Control, 69 (2008), no. 7, pp. 1126-1132.
15. Signal restoration in linear systems with trends (II). Avtom. Telemekh., 2008, no. 11, pp. 82-93; English transl. in Autom. Remote Control, 69 (2008), no. 11, pp. 1892-1902.
16. Estimation of trends and identification of time series dynamics in short observation sections. Izv. Akad. Nauk, Teor. Sist. Upr., 2009, no. 1, pp. 25-37; English transl. in J. Comput. Syst. Sci. Int., 48 (2009), no. 1, pp. 1-13.
17. Controllability of joint linear systems. Sib. Zh. Ind. Mat., 13 (2010), no. 2, pp. 79-84; English transl. in J. Appl. Ind. Math., 5 (2011), no. 1, pp. 1-6.
18. Local stability in the problem of identifying coefficients of a linear difference equation. Vestnik NGU. Ser.: matematika, mekhanika, informatika. 10 (2010), iss. 4, pp. 81-103; ; English transl. in. J. Math. Sci., 188 (2013), no. 4, pp. 410-434.
19. On quantitative a priori measures of identifiability of coefficients of linear dynamic systems. Izv. Akad. Nauk, Teor. Sist. Upr., 2011, no. 1, pp. 3-15; English transl. in J. Comput. Syst. Sci. Int., 50 (2011), no. 1, pp. 1-13.
20. Variational identification methods for linear dynamic systems and the local extrema problem. Large-Scale Systems Control. 39 (2012), pp. 53-94. (Russian)
21. On consistency of a generalized orthoregressive parameter estimator for a linear dynamical system. Sib. Zh. Ind. Mat., 16 (2013), no. 4, pp. 87-93; English transl. in J. Appl. Ind. Math., 7 (2014), no. 1, pp. 1-7.
22. Joint identifiability of coefficients of linear difference equations of object and additive disturbances.. Vestnik NGU. Ser.: matematika, mekhanika, informatika. 15 (2015), iss. 4, pp. 46-57; ; English transl. in. J. Math. Sci., 221 (2017), no. 6, pp. 857-871.
23. Audio files compression with the STLS-ESM method.. Nauchno-techn. Vedomosti SPbGU. Ser.: Computing, Telecommunication and Control. 229 (2015), no. 5, pp. 88-96.
24. On the asymptotic optimality of orthoregressional estimators. Sib. Zh. Ind. Mat., 19 (2016), no. 4, pp. 51-60; English transl. in J. Appl. Ind. Math., 10 (2016), no. 4, pp. 511-519.
25. Operator-Orthoregressive Method for Identifying Coefficients of Linear Differential Equations. Sib. Zh. Chist. i Prikl. Mat., 18 (2018), no. 1, pp. 73-90; English transl. in J. Math. Sci., 253 (2021), no. 3, pp. 391-406.
26. On convergence of the inverse iteration algorithm for modified Prony method. Siberian Electronic Mathematical Reports, 15 (2018), pp. 1513-1529. (Russian)
27. Comparison of Parameter Identification Methods for Linear Dynamic Systems Under Mixed Noise . Sib. Zh. Chist. i Prikl. Mat., 18 (2018), no. 3, pp. 45-59; English transl. in J. Math. Sci., 253 (2021), no. 3, pp. 407-418. (In collaboration with A. V. Fedoseev).
28. On convergence of M. Osborne' inverse iteration algorithms for modified Prony method. Siberian Electronic Mathematical Reports, 16 (2019), pp. 1916-1926. (Russian).
29. Parameter identification of discrete stochastic systems by the inverse iteration method. Computational Technologies, 25 (2020), no. 3, pp. 66-77. (Russian).
30. On Convergence of Computational Algorithms for a Variational Problem of Identifying the Coefficients of Difference Equations . Sib. Zh. Ind. Mat., 23 (2020), no. 3, pp. 17-40; English transl. in J. Appl. Ind. Math., 14 (2020), no. 3, pp. 541-554.
31. Operator-orthoregressive methods for identifying coefficients of linear difference equations. Siberian Electronic Mathematical Reports, 18 (2021), no. 2, pp. 792-804.
32. Comparison of the Target Functions in the Prony's Problem of Measurement Data Approximation. Bulletin of the South Ural State University. Series: Computational Mathematics and Software Engineering, 11 (2022), no. 2, pp. 18-29. (Russian).