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Utina Natalia V.

Position

Associate professor

Academic degree

PhD of Physico-Mathematical Sciences (2004)

Academic title

Associate professor (2019)

Address

4, 2nd Krasnoarmeiskaya Str., St Petersburg, 190005

Basic information

Education

Specialty Applied mathematics

Qualification Mathematician (Saint Petersburg State University, 2000)

Postgraduate studiesDiscrete mathematics and mathematical cybernetics Qualification Research teaching fellow (Saint Petersburg State University, 2004)

Professional development

  • Development and implementation of electronic courses in the educational process on the LMS Moodle platform (SPbGASU, 2017)
  • Anti-corruption (for teachers) (State Academy of Industrial Management named after N. P. Pastukhov, 2017)
  • Labour protection of pedagogical workers of educational institutions (SPbGASU, 2017, 40 hours)
  • The pedagogical space of the university: technologies, meanings, values ​​(SPbGASU, 2018, 72 hours)
  • Features of teaching disabled people and people with health disorders in a technical university (SPbGASU, 2018, 16 hours)
  • Life safety (SPbGASU, 2018, 72 hours)
  • Algorithmic approaches of graph theory in innovative educational technologies for teaching mathematical disciplines (2019, 40 hours)
  • Conducting practical and seminar classes in mathematics and programming (St Petersburg State University, 2020, 180 hours)
  • Distance learning tools (Uright.Academy, 2020, 36 hours)
  • Labor protection in educational institutions (SPbGASU, 2020, 16 hours)
  • Digital tools of a modern teacher of higher education (SPbGASU, 2021, 36 hours)
  • General issues of labor protection and the functioning of the labor protection management system (Aktion-University, 2023, 16 hours)
  • Providing first aid to victims at work (Aktion University, 2023, 16 hours)
  • Safe methods and techniques for performing work under the influence of harmful and hazardous production factors, sources of danger identified in the framework of the SAUT and occupational risk assessment (Action University, 2023, 16 hours)

Teaching

  • Mathematics
  • Higher mathematics
  • Theory of probability and mathematical statistics
  • Special mathematics

Professional interests

  • Scientific research
  • Curriculum development
  • Improvement of teaching methods

Research interests

  • Discrete and continuous management systems
  • Advanced mathematics teaching methods

Publications

Natalia Utina is the author of more than 20 publications.

The most significant publications

Textbooks

  1. Smirnova, V. B. Straight line and plane in space: textbook / V. B. Smirnova, L. E. Morozova, N. V. Utina. - St Petersburg: SPbGASU, 2017. - 132 p.
  2. Badanina, L.A. Probability theory and mathematical statistics: textbook / L.A. Badanina, N.V. Utina. - S. Petersburg: SPbGASU, 2018. - 208 p.
  3. Badanina, L. A. Series: numerical, functional and Fourier series: a tutorial / N. V. Utina, G. V. Yakunina. - St Petersburg: SPbGASU, 2019. - 159 p.

Articles

  1. Utina, N. V. Estimates of transient processes in a discrete system of pulse-phase locked loop
    / N. V. Utina // Electronic journal "Differential Equations and Control Processes". - 2003. - No. 3. - P. 88–115.
  2. Smirnova, V. B., Shepelavyi, A. I., Utina, N. V. Frequency-domain conditions for cycle-slipping in discrete system with periodic nonlinearity / V. B. Smirnova // In Proceedings of the 2003 International Conference on Physics and Control. – 2003. – Vol. 2. – P. 607–610.
  3. Utina, N.V. Stoker problem for multidimensional discrete phase control systems / N.V. Utina // Automation and Telemechanics. - No. 11. - 2005. - P. 65–73.
  4. Smirnova, V. B. Asymptotic frequency estimates of the output signal amplitude for discrete phase systems / V. B. Smirnova, A. I. Shepelyaviy, N. V. Utina // Bulletin of St Petersburg University. - 2006. - Series 1. - Issue. 1. - P. 69-78.
  5. Smirnova, V. B. About the problem of cycle-slipping in discrete system with periodic nonlinear vector function / V. B. Smirnova, A. I. Shepeljavyi, N. V. Utina // In Proceedings of the 3-rd International IEEE Scientific Conference on Physics and Control. – 2007. – Potsdam, Germany. The IPACS Library. URL: http://lib.physcon.ru/doc?id=ee389baf2942
  6. Smirnova, V. B. Frequency estimates of the number of cycle slips in a phase system with vector nonlinearity / V. B. Smirnova, N. V. Utina, A. I. Shepelyavy, A. A. Perkin // Bulletin of St Petersburg University. - 2009. - Series 1. - Issue. 1. - P. 33-43.
  7. Utina, N. V. On the application of the Lyapunov periodic function method / N. V. Utina, V. B. Smirnova, A. I. Shepelyaviy, A. A. Perkin // Bulletin of St Petersburg University. - 2011. - Series 1. - Issue. 3. – P. 36–47.
  8. Smirnova, V. B. Conditions for the lack of the cycles of the second kind for continuous and discrete systems with cylindrical phase space / V. B. Smirnova, A. A. Perkin, A. I. Shepeljavyi, N. V. Utina // Bulletin of the St Petersburg University: Mathematics. – Vol. 47. – Issue 3. – July 2014. – P. 105–114.
  9. Smirnova, V. B. Problem of cycle-slipping for infinite dimensional systems with MIMO nonlinearities / V. B. Smirnova, A. V. Proskurnikov, N. V. Utina // In Proceedings of the 6th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT), Saint Petersburg, 6–8 October 2014. DOI: 10.1109/ICUMT.2014.7002167
  10. Smirnova, V. Cycle slipping in nonlinear circuits under periodic nonlinearities and time delays / V. Smirnova, A. Proskurnikov, N. Utina // Proceedings – IEEE International Symposium on Circuits and Systems (ISCAS), Lisbon, Portugal, 24–27 May, 2015: 3084–3087. DOI: 10.1109/ISCAS.2015.7169339
  11. Smirnova, V. B. Asymptotic Properties of Nonlinear Singularly Perturbed Volterra Equations / V. B. Smirnova, A. V. Proskurnikov, N. V. Utina, E. E. Pak // In Proceedings of 1st IFAC Conference on Modelling, Identification and Control of Nonlinear Systems MICNON, Saint Petersburg, Russia, June 24-26, 2015 48(11): 604–609. DOI: 10.1016/j.ifacol.2015.09.253
  12. Smirnova VB, Proskurnikov AV, Utina NV (2015) Transient processes in synchronization systems governed by singularly perturbed Volterra equations. In Proceedings of 2015 IEEE European Control Conference (ECC): 509–514.
  13. Smirnova, V. B. Stability and oscillations of singularly perturbed phase synchronization systems with distributed parameters / V. B. Smirnova, A. V. Proskurnikov, N. V. Utina, E. E. Pak // In Proceedings of  2016  International Conference "Stability and Oscillations of Nonlinear Control Systems" (Pyatnitskiy's Conference), STAB 2016, Moscow, Russia,  June 1–3, 2016. art. no. 7541225 http://ieeexplore.ieee.org/document/7541225/
  14. Smirnova, V. B. On Periodic Solutions of Singularly Perturbed Integro-differential Volterra Equations with Periodic Nonlinearities / V. B. Smirnova, A. V. Proskurnikov, N. V. Utina // In Proceeding 6th IFAC International Workshop on Periodic Control Systems (PSYCO'2016), Eindhoven, Netherlands, June 29 – July 1, 2016.
  15. Smirnova, V. B. Stability of Pendulum-Like Systems with External Disturbances / V. B. Smirnova, A. V. Proskurnikov, N. V. Utina // Cybernetics and Physics. – 2017. – Т. 6. – № 4. – С. 245–256.
  16. Smirnova, V. B. Forced Solutions of Disturbed Pendulum-like Lur'e Systems / V. B. Smirnova, A. V. Proskurnikov, N. V. Utina, R. V. Titov // In Proceeding IEEE Conference on Control Technology and Applications (CCTA 2018), Copenhagen, Denmark, August 21–24, 2018.
  17. Smirnova, V. B. Dichotomy and Stability of Disturbed Systems with Periodic Nonlinearities / V. B. Smirnova, A. V. Proskumikov, N. V. Utina and R. V. Titov // 26th Mediterranean Conference on Control and Automation (MED), Zadar, 2018. – P. 1–9. doi: 10.1109/MED.2018.8443008. (SCOPUS)
  18. Smirnova, V. B. Asymptotic behavior of singularly perturbed systems with periodic nonlinearities and external forces / V. B. Smirnova, N. V. Utina and E. E. Pak // 14th International Conference “Stability and Oscillations of Nonlinear Control Systems” (Pyatnitskiy's Conference) (STAB). – Moscow, 2018. – P. 1–4. doi: 10.1109/STAB.2018.8408402. (SCOPUS)
  19. Smirnova, V. B. Leonov’s method of nonlocal reduction for pointwise stability of phase systems / V. B. Smirnova, A. V. Proskurnikov and N. V. Utina // 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB). – Moscow, 2020. – P. 1–4. doi: 10.1109/STAB49150.2020.9140629. (SCOPUS)