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Smirnova Vera B.

Position

Professor

Academic degree

Doctor Physico-Mathematical Sciences (2000)

Academic title

Professor

Faculty

Faculty of Environmental Engineering and Municipal Services

Department

Department of Mathematics

Address

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

Phone +7 812 316-49-30
E-mail matem@spbgasu.ru

Basic information

Education

Specialty Mathematics

Qualification Mathematician (Leningrad State University after A.A. Zhdanov, 1969).

Professional development

  • Modern training technologies in the educational process at the university (SPbGASU, 2017)
  • Labour protection of pedagogical workers of educational institutions (SPbGASU, 2017, 40 hours)
  • Development and implementation of electronic courses in the educational process on the LMS Moodle platform (SPbGASU, 2018, 72 hours)
  • The pedagogical space of the university: technologies, meanings, values ​​(SPbGASU, 2018, 72 hours)
  • Anti-corruption (for teachers) (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 to graph theory in innovative educational technologies for teaching mathematical disciplines (St Petersburg State University, 2019, 40 hours)
  • Labour protection in educational institutions (SPbGASU, 2020, 16 hours)
  • Basics of a teacher's work in the Blackboard system (St Petersburg State University, 2020, 72 hours)
  • Digital tools of a modern teacher of higher education (SPbGASU, 2021, 36 hours)
  • Elements of modern algebra in the system of higher mathematical education (Altai State University, 2022, 72 hours)

Teaching

  • Linear algebra and analytical geometry
  • Control theory

Professional interests

  • Scientific research
  • Curriculum development

Research interests

  • Theory of stability and control systems variations

Scientific conferences

Professor Smirnova has participated in more than 60 scientific international and national conferences.

Publications

Professor Smirnova has published more than 120 published scientific and educational papers including three monographs (co-authorship) and 11 textbook (co-authorship).

The most significant publications

Textbooks

  1. Leonov, G. A. Stability of automatic control systems. [in 3 parts] / G. A. Leonov, V. B. Smirnova, T. L. Chshieva. – Ed. SOGU after K. L. Khetagurov: Ordzhonikidze, 1985. - 145 p.
  2. Smirnova, V. B. Ordinary differential equations / V. B. Smirnova, L. E. Morozova. - St Petersburg: SPbGASU, 2010. - 88 p.
  3. Smirnova, V. B. Limit and continuity of a function of one variable / V. B. Smirnova, M. Yu. Fedorova. - St Petersburg: SPbGASU, 2011. - 92 p.
  4. Smirnova, V. B. Vector algebra: textbook / V. B. Smirnova, L. E. Morozova. - St Petersburg: SPbGASU, 2014. - 120 p.
  5. Smirnova, V. B. Derivative and differential of a function of one variable / V. B. Smirnova, M. Yu. Fedorova, L. E. Morozova. - St Petersburg: St Petersburg State University Publishing House, 2016.
  6. Morozova, L. E. Straight line and plane in space: textbook / L. E. Morozova, V. B. Smirnova, N. V. Utina. - St Petersburg: SPbGASU, 2017. - 132 p.

Monographs

  1. G. A. Leonov, V. Reitmann, V. B. Smirnova. Non-local methods for pendulum-like feedback systems. Teubner Verlagsgesellschaft: Stuttgart; Leipzig, 1992. 242 p.
  2. G. A. Leonov, D. V. Ponomarenko, V. B. Smirnova. Frequency – domain methods for nonlinear analysis: theory and applications. World Scientific. Singapore; New Jersey; London; Hong Kong, 1996. 498 p.
  3. Leonov, G. A. Mathematical problems of the theory of phase synchronization / G. A. Leonov, V. B. Smirnova. - St Petersburg: Nauka, 2000. - 400 p.

Articles

  1. Smirnova, V. B. On the asymptotic behavior of one class of control systems with distributed parameters / V. B. Smirnova // Automation and Telemechanics. - 1973. - No. 11. - P. 5–12.
  2. Leonov, G. A. The reduction method for integro-differential equations / G. A. Leonov, V. B. Smirnova // Siberian Mathematical Journal. - 1980. - T. XXI. - No. 4. - P. 112-123.
  3. V. B. Smirnova. Stability of singular distributed dynamical systems with angular coordinates / Nonlinear Dynamics and Quantum Dynamical Systems. Vol. 59. Akademie – Verlag: Berlin, 1990. P. 141–147.
  4. V. B. Smirnova. Global stability and oscillations of distributed parameter synchronization systems / Differential Equations and Control Theory. Longman: Scientific and Technical, 1992. P. 299–305.
  5. G. A. Leonov, D. V. Ponomarenko, V. B. Smirnova. Local instability and localization of attractors. From stochastic generator to Chua’s Systems // Acta Applicandae Mathematicae. V. 40, 1995. P. 179–243.
  6. G. A. Leonov, V. B. Smirnova. Stability and oscillations of solutions of integro-differential equations of pendulum-like systems // Mathematische Nachrichten. Vol. 177, 1996. P. 157–181.
  7. G. A. Leonov, V. B. Smirnova, L. Sperling. A frequency-domain criterion for global stability of systems with angular coordinates //Technische Mechanic. Band 17, Heft 3, 1997. P. 223–229.
  8. Smirnova, V. B., Utina N. V., Shepelyavy A. I. Upper bound for the number of cycle slips in discrete systems with periodic nonlinearity // Bulletin of St Petersburg State University. Series. 1. - 2003. - Issue. 2. – No. 9. – P. 48–57.
  9. A. A. Perkin, V. B. Smirnova, A. I. Shepeljavyi. Frequency-domain criteria for gradient-like behavior of phase control systems with vector nonlinearities.3-rd IEEE Multi-Conference on Systems and Control. Saint-Petersburg, Russia, July, 8–10, 2009 / Saint-Petersburg, 2009. Papers. P. 142–146.
  10. Application of the method of periodic functions of Lyapunov / A. A. Perkin, V. B. Smirnova, N. V. Utina, A. I. Shepelyavy // Bulletin of St Petersburg University. Series 1. - 2011. - Issue. 3. – P. 36–47.
  11. A. A. Perkin, V. B. Smirnova, A. I. Shepeljavyi. Frequency-algebraic conditions for stability of phase systems with application to phase-locked loops and synchronization systems // Cybernetics and physics journal. Vol. 1. N 3. 2012. P. 188–197.
  12. Smirnova V, Proskurnikov AV, Utina NV (2015) Problem of cycle-slipping for infinite dimensional systems with MIMO nonlinearities. In: 6th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT), Saint Petersburg, 6-8 October 2014.
  13. Perkin A, Proskurnikov A, and Smirnova V (2014) Asymptotic Estimates for Gradient-Like Distributed Parameter Systems with Periodic Nonlinearities. In Proceedings of 2014 IEEE International Symposium on Intelligent Control (ISIC):1638–1643.
  15. Smirnova V, Proskurnikov A, Utina N (2015) Cycle slipping in nonlinear circuits under periodic nonlinearities and time delays. Proceedings – IEEE International Symposium on Circuits and Systems (ISCAS), Lisbon, Portugal, 24–27 May, 2015: 3084–3087.
  16. Smirnova VB, Proskurnikov AV, Utina NV, Pak EE (2015) Asymptotic Properties of Nonlinear Singularly Perturbed Volterra Equations. In Proceedings of 1st IFAC Conference on Modelling, Identification and Control of Nonlinear Systems MICNON 2015 48(11): 604–609.
  17. 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.
  18. Smirnova VB, Utina NV, Pak EE, Proskurnikov AV (2016) Stability and oscillations of singularly perturbed phase synchronization systems with distributed parameters. In Proceedings of 2016 International Conference "Stability and Oscillations of Nonlinear Control Systems" (Pyatnitskiy's Conference), STAB 2016.
  19. Smirnova VB, Utina NV, Proskurnikov AV (2016) On Periodic Solutions of Singularly Perturbed Integro-differential Volterra Equations with Periodic Nonlinearities. IFAC-PapersOnLine 49(14): 160–165.
  20. Smirnova V, Proskurnikov AV (2017) Phase locking, oscillations and cycle slipping in synchronization systems. 2016 European Control Conference. ECC 2016. 7810399: 873–878.
  21. Smirnova V. B., Proskurnikov A. V. Singular Perturbations of Volterra Equations with Periodic Nonlinearities. Stability and Oscillatory Properties // IFAC-Papers Online. Vol. 50. Issue 1, 2017. P. 8454–8459.
  22. Smirnova V. B., Proskurnikov A. V., Utina N. V. Stability of Pendulum-Like Systems with External Disturbances // Cybernetics and physics V. 6, N. 4, 2017. P. 239–250.
  23. Smirnova V. B., Proskurnikov A. V., Utina N. V., Titov R. V. Forced Solutions of Disturbed Pendulum-like Lur'e Systems // In Proceedings of International Conference CCTA-2018. P. 748–753.
  24. Smirnova, V. B., Proskurnikov, A. V., Utina, N. V., Titov, R. V. (2018). Dichotomy and stability of disturbed systems with periodic nonlinearities. MED 2018 - 26th Mediterranean Conference on Control and Automation: 903–908. DOI:10.1109/MED.2018.8443008.
  25. Smirnova, V. B., Utina, N. V., Pak, E. E. (2018) Asymptotic behavior of singularly perturbed systems with periodic nonlinearities and external forces. Proceedings of 14th International Conference Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiys Conference) (STAB): 1–4.
  26. Smirnova V. B., Proskurnikov A. V. Volterra Equations with Periodic Nonlinearities Multistability, Oscillations and Cycle Slipping // International Journal of Bifurcation and Chaos, 29(5), 1950068 World Scientific Publishing Co (Singapore), 2019.
  27. Smirnova V. B., Proskurnikov A. V., Utina N. V. New results on cycle slipping in pendulum–like systems // Cybernetics and physics, V. 8, N. 3, 2019. P. 167–175.
  28. Smirnova V. B., Proskurnikov A. V. Leonov`s nonlocal reduction technique for nonlinear integro-differential equations IFAC-PapersOnLine, 2020, 53(2), P. 6398–6403.
  29. Smirnova V. B., Proskurnikov A. V. Self-synchronization of unbalanced rotors and the swing equation IFAC-PapersOnLine, 2021, 54(17), P. 71–76.
  30. Smirnova V. B., Proskurnikov A. V., Utina, N. V. The development of Lyapunov direct method in application to synchronization systems Journal of Physics: Conference Series, 2021, 1864(1), 012065.
  31. Smirnova V. B., Proskurnikov A. V., Zgoda, I. The sunflower equation: novel stability criteria IFAC-PapersOnLine, 2021, 54(17), P. 135–140.