Doctor of Technical Sciences, Professor, Laureate of the State Prize in Science and Technology of Ukraine, Acting Head of the Department of Software Systems and Technologies.
Education higher
Kyiv State University named after Taras Shevchenko. Mathematician. Teacher.
Defended dissertations
- Candidate: "Construction of optimal qualitative characteristics of stochastic differential equations of neutral type" (01.05.01 — Mathematical Cybernetics).
- Doctoral: "Information technologies for the analysis and synthesis of continuously discrete information systems and processes based on fuzzy hybrid automata" (05.13.06 — Information Technologies).
Work experience
- 2014-present. Head of the Department of Software Systems and Technologies, Taras Shevchenko National University of Kyiv.
- 2013–2016 Deputy Dean of the Faculty of Information Technology of Taras Shevchenko National University of Kyiv.
- 2001–2013 Associate Professor, Faculty of Cybernetics, Taras Shevchenko National University of Kyiv.
- 2001–2013 Secretary of the NMC "Applied Mathematics and Informatics" of the Ministry of Education and Science of Ukraine.
- 2007–2008 Dean of the Faculty of Economics of the Ukrainian University of Finance and Economics.
- 2006–2013 Director of the Training and Research Center of Information Technologies of KNU.
- 1986–2001 Laboratory assistant, mol. researcher, researcher, Taras Shevchenko National University of Kyiv.
Theses
More than 140 scientific works, including 3 monographs, 9 textbooks, 2 textbooks, 60 articles in professional editions of Ukraine, 15 publications in Scopus, 49 abstracts of reports at conferences. Hirsch index: Scopus 4, Google Scholar 4.
Research interests
Data science, cyber-physical systems, mathematical modeling, fuzzy modeling, software development, development and implementation of information systems.
Basic monographs, textbooks, manuals
- Bychkov O.S. Fundamentals of modern programming. K.: VOC "Kyiv University", 2008. 272 p.
- Bychkov O.S. Cognitive methods of cybernetics. K.: VOC "Kyiv University", 2006. 128 p.
- Khusainov D.Ya., Bychkov O.S. Differential Equations - Part 1: K.: VOC "Kyiv University", 2001. 132 p.
- Bychkov O.S., Zhuk I.Yu., Porev H.V. Fundamentals ofobject-oriented programming. K.: Karavela, 2023. 204 p. ISBN 978-966-801-922-7.
Selected publications in Scopus / Web of Science
- Petrivskyi V., Bychkov O., Martsenyuk V. Proving the Existence of Solutions to the Problems of Minimizing the Energy Consumption of Sensor Networks. Applied Sciences, 2022, 12(15), 7687.
- Petrivskyi V., Bychkov O., Shevchenko V. et al. A Method for Maximum Coverage of the Territory by Sensors with Minimization of Cost and Assessment of Survivability. Applied Sciences, 2022, 12(6), 3059.
- Bychkov O., Merkulova K., Zhabska Y. Information Technology for Person Identification by Occluded Face Image. TCSET 2022, pp. 147–151.
- Bychkov O., Merkulova K., Zhabska Y., Shatyrko A. Development of information technology for person identification in video stream. CEUR Workshop Proceedings, 2021, 3018, pp. 70–80.
- Khusainov D., Bychkov O. Research on Solutions Stability for Dynamic Switched Time-Delayed Systems. Springer Proc. Math. Stat., 2021, 379, pp. 43–47.
- Bychkov A.S., Suprun O.N., Krzhyzh I., Navotna V. On the issue of stability of hybrid automata by a part of variables. J. Automat. Inf. Sci., 2019, 51(10), pp. 23–30.
- Bychkov O.S., Ivanov Ie.V. Possibilistic modeling of dynamic uncertain processes. Nonlinear Dynamics and Systems Theory, 2013, 13(3), pp. 229–241.
- Bychkov A.S., Ivanova I.V. Optimal lower bound for the extension of possibility of measure to the power set of a set of elementary events. Cybernetics and Systems Analysis. , 2011, 47(2), pp. 296–304.
- Bychkov A.S. A development of possibility theory. Cybernetics and Systems Analysis. , 2007, 43(6), pp. 858–865.
- Bychkov A.S., Merkur'ev M.G. Stability of continuous hybrid systems. Cybernetics and Systems Analysis. , 2007, 43(2), pp. 261–265.
- Khusainov D.Ya., Bychkov A.S. Stability estimates for linear stochastic systems with deviating argument of neutral type. Ukrainian Mathematical Journal, 1993, 45(6), pp. 918–928.
Scientific and international activities
Participates in international projects, cooperates with scientific institutions and enterprises of China, the Czech Republic and Bulgaria.
Rewards
- Laureate of the State Prize of Ukraine in Science and Technology
- Gratitude of the Ministry of Education and
KEY PUBLICATIONS
The main publications of the scientific school "Mathematical Theory of Intelligence":
1. Bychkov O.S. Mathematical Models, Methods and Algorithms of Theoretical and Applied Informatics. Monograph. / Yu.A. Belov, O.S. Bychkov, O.I. Chulichkov // Kharkiv: ANTO LLC «KNK», 2009. – 303 p.
2. Bychkov O.S. Application of the Second Lyapunov Method for Studying the Stability of Hybrid Systems / O.S. Bychkov // Bulletin of Kyiv University. Series: Physical and Mathematical Sciences, 2005. – No. 1. – P. 5–11.
3. Bychkov O.S. Investigation of the Stability of Trivial Phase Orbits of Hybrid Automata / O.S. Bychkov // Bulletin of Kyiv University. Series: Cybernetics, 2005. – No. 6. – P. 4–8.
4. Bychkov O.S. Construction of an Integral over a Fuzzy Random-Walk Process / O.S. Bychkov // Bulletin of Kyiv University. Series: Physical and Mathematical Sciences, 2005. – No. 4. – P. 125–133.
5. Bychkov O.S. Existence and Uniqueness of Solutions of a Fuzzy Differential Equation / O.S. Bychkov, M.H. Merkuriev // Bulletin of Kyiv University. Series: Physical and Mathematical Sciences, 2006. – No. 1. – P. 131–135.
6. Bychkov O.S. On One Approach to the Description of Fuzzy Events / O.S. Bychkov // Bulletin of Kyiv University. Series: Physical and Mathematical Sciences, 2006. – No. 3. – P. 138–142.
7. Bychkov O.S. On One Approach to Modelling Fuzzy Dynamics / Yu.A. Belov, O.S. Bychkov, A.I. Chulichkov, M.H. Merkuriev // Reports of the National Academy of Sciences of Ukraine, 2006. – No. 10. – P. 14–19.
8. Bychkov O.S. Construction of a (PN)-Model of Possibility Theory / O.S. Bychkov // Bulletin of Kyiv University. Series: Physical and Mathematical Sciences, 2007. – No. 1. – P. 134–138.
9. Bychkov A.S. Sufficient Conditions for the Stability of the Stationary State of Linear Hybrid Automata / A.S. Bychkov, M.G. Merkuriev // Control Systems and Machines, 2007. – No. 2. – P. 18–23.
10. Bychkov A.S. Stability of Continuous Hybrid Automata / A.S. Bychkov, M.G. Merkuriev // Cybernetics and Systems Analysis, 2007. – No. 2. – P. 123–128.
11. Bychkov O.S. On Possibility Theory and Its Applications / O.S. Bychkov // Reports of the National Academy of Sciences of Ukraine, 2007. – No. 5. – P. 7–12.
12. Bychkov O.S. Investigation of the Stability of Impulsive Hybrid Automata / O.S. Bychkov, M.H. Merkuriev // Mathematical Machines and Systems, 2007. – No. 1. – P. 27–33.
13. Bychkov A.S. Sufficient Conditions for the Exponential Stability of the Zero Stationary State of a Hybrid Automaton / A.S. Bychkov // Mathematical Machines and Systems, 2007. – No. 3. – P. 168–175.
14. Bychkov A.S. On One Development of Possibility Theory / A.S. Bychkov // Cybernetics and Systems Analysis, 2007. – No. 5. – P. 67–72.
15. Bychkov O.S. On the Instability of Phase Orbits of a Class of Hybrid Automata / O.S. Bychkov, V.S. Kasyanyuk, T.P. Sovyak // Mathematical Machines and Systems, 2008. – No. 3. – P. 75–81.
16. Bychkov A.S. Investigation of the Stability of Hybrid Automata in Modelling the Motion of Aircraft / A.S. Bychkov, E.A. Ivanov // Control Systems and Machines, 2008. – No. 5. – P. 24–28.
17. Bychkov A.S. Modelling and Studying Fuzzy Dynamical Systems // Journal of Mathematical Sciences, Springer New York, 2009. – Vol. 157. – No. 3. – P. 466–479.
18. Bychkov O.S. Numerical Solution of a Fuzzy Differential Equation / O.S. Bychkov, Ye.A. Ivanov // Mathematical Machines and Systems, 2009. – No. 1. – P. 31–39.
19. Bychkov O.S. On a Criterion for the Existence of Copositive Solutions of the Lyapunov Equation / O.S. Bychkov // Reports of the National Academy of Sciences of Ukraine, 2009. – No. 3. – P. 12–18.
20. Bychkov O.S. On the Consistent Extension of Possibility and Necessity Measures / O.S. Bychkov // Reports of the National Academy of Sciences of Ukraine, 2009. – No. 6. – P. 7–13.
21. Bychkov A.S. Reduction Measurements for Calculation in Fuzzy Experiment Scheme and Soft Modelling of Dynamic Processes in Non-Crisp Conditions /Yu.A. Belov, A.S. Bychkov, a.l. Zavorotnyy, M.G. Merkuriev// Simulation and Optimization Methods in Risk and Reliability Theory, Series: Advances in Operations Research, 2009. – ISBN: 978-1-60456-658-1. – P. 113–136.
22. Bychkov A.S. Existence of a Consistent k-Additive Extension of Measures in Possibility Theory / A.S. Bychkov, E.A. Ivanov // Control Systems and Machines, 2009. – No. 6 (224). – P. 35–41.
23. Bychkov A.S. On the Convergence of Sequences of Fuzzy Perceptive Elements Defined on Different Possibility Spaces / A.S. Bychkov, E.A. Ivanov // Cybernetics and Systems Analysis, 2010. – No. 2. – P. 142–151.
24. Bychkov O.S. On the Stability of Fuzzy Dynamical Systems / O.S. Bychkov // Reports of the National Academy of Sciences of Ukraine, 2011. – No. 3. – P. 12–16.
25. Bychkov O.S. On Sufficient Conditions for the Stability of Hybrid Automata with Fuzzy Switching / O.S. Bychkov // Reports of the National Academy of Sciences of Ukraine, 2011. – No. 4. – P. 7–14.
26. Bychkov O.S. A Criterion for the Existence of Copositive Solutions of the Matrix Lyapunov Equation / O.S. Bychkov, O.H. Pavlyuchenko // Journal of Computational and Applied Mathematics, 2011. – No. 3 (106). – P. 14–20.
27. Bychkov O.S. Sufficient Conditions for the Stability of Fuzzy Hybrid Automata / O.S. Bychkov // Mathematical Machines and Systems, 2012. – No. 3. – P. 29–37.
28. Bychkov O.S. A Numerical Method for Studying the Stability of a Linear Hybrid Automaton / O.S. Bychkov, O.H. Pavlyuchenko, M.H. Merkuriev // Journal of Computational and Applied Mathematics, 2012. – No. 2 (107). – P. 11–19.
29. Bychkov O.S. Stability of Impulsive Fuzzy Hybrid Automata / O.S. Bychkov // Bulletin of Taras Shevchenko National University of Kyiv. Series: Physical and Mathematical Sciences, 2012. – No. 3. – P. 24–36.
30. Bychkov A.S. Randomness and Possibility: Modern Approaches / A.S. Bychkov, D.A. Klyushin // Mathematical Machines and Systems, 2012. – No. 4. – P. 10–27.
31. Bychkov A.S. A Possibilistic Approach to Modelling Systems with Fuzzy Structure / A.S. Bychkov, E.V. Ivanov, V.S. Kasyanyuk // Mathematical Machines and Systems, 2012. – No. 4. – P. 115–124.
32. Bychkov A.S., Ivanov E.V. Possibilistic Modeling of Dynamic Uncertain Processes / A.S. Bychkov, E.V. Ivanov // Nonlinear Dynamics and Systems Theory, 2013. – No. 3. – Vol. 13. – P. 229–241.
33. Bychkov A.S. On the Convergence of Sequences of Fuzzy Perceptive Elements Defined on Different Possibility Spaces / A.S. Bychkov, E.V. Ivanov, O.N. Suprun // International Journal “Information Models and Analyses”, 2015. – No. 1. – Vol. 4. – P. 203–217.
34. Bychkov A.S. Estimation of the Solution Distribution of Fuzzy Differential Equations / A.S. Bychkov, E.V. Ivanov, O.N. Suprun // International Journal “Information Technologies & Knowledge”, 2015. – Vol. 9. – No. 4. – P. 308–324.
35. Bychkov A. Modified Lyapunov's Conditions for Hybrid Automata Stability /Bychkov A., Ivanov E., Suprun O. // International Journal “Information Content and Processing”, 2015. – Vol. 2. – No. 2. – P. 115–127.
36. Bychkov O.S. Investigation of the Stability of Generalized Fuzzy Hybrid Automata / O.S. Bychkov // Journal of Computational and Applied Mathematics, 2013. – No. 1 (111). – P. 76–86.
37. Bychkov A.S. Investigation of the Behaviour of Solutions of Differential Equations with Switching / A.S. Bychkov // National Academy of Sciences of Belarus, Proceedings of the Institute of Mathematics, 2014. – No. 1 (22). – P. 6.
38. Bychkov O.S. Methods for Constructing Optimal Estimates for Studying Continuous-Discrete Processes as Solutions of Hybrid Automata / O.S. Bychkov // Systems of Arms and Military Equipment, 2017. – No. 3 (51). – P. 48–54.
39. Bychkov O.S. Application of Possibility and Necessity Measures for Constructing a Generalized Model for Describing Fuzzy Processes and Events / O.S. Bychkov // Systems of Arms and Military Equipment, 2017. – No. 4 (52). – P. 145–150.
40. Bychkov O.S. Information Technology Methods for Studying the Continuous-Discrete Dynamics of an Aircraft / O.S. Bychkov, V.V. Ardelyan // Control, Navigation and Communication Systems, 2017. – No. 6 (46). – P. 171–176.
41. Bychkov A.S. Differential Equations – A Possibilistic Approach / A.S. Bychkov // 7th International Mathematical School “The Lyapunov Functions Method and Its Applications”. Crimea, Alushta, September 11–18, 2004. – P. 33.
42. Bychkov O.S. Investigation of the Stability of Phase Orbits of Stochastic Hybrid Automata / O.S. Bychkov, T.P. Sovyak // Eleventh International Scientific Conference Named after Academician M. Kravchuk. May 18–20, Kyiv, 2006. – P. 675.
43. Bychkov O.S. Mathematical Foundations of Extended Possibility Theory / O.S. Bychkov, K.S. Kolesnyk // 8th International Mathematical School “The Lyapunov Functions Method and Its Applications”. Crimea, Alushta, September 10–17, 2006. – P. 35.
44. Bychkov O.S. On One Approach to Modelling Fuzzy Dynamics / O.S. Bychkov, T.P. Sovyak // 8th International Mathematical School “The Lyapunov Functions Method and Its Applications”. Crimea, Alushta, September 10–17, 2006. – P. 36.
45. Bychkov A.S. Mathematical Modelling of Fuzzy Dynamic Processes and Systems / Yu.A. Belov, A.S. Bychkov, M.G. Merkuriev // International Conference Tikhonov and Modern Mathematics. M.V. Lomonosov Moscow State University, RAS, Moscow, 2007. – P. 25–34.
46. Bychkov A.S. Constructive Conditions for the Stability of Linear Autonomous Hybrid Automata / A.S. Bychkov // Proceedings of the IX International Chetaev Conference “Analytical Mechanics, Stability and Motion Control”. RAS Siberian Branch, Institute of System Dynamics and Control Theory. Irkutsk, 2007. – P. 332–336.
47. Bychkov A.S. Second Lyapunov Function for Investigation of Continuous and Impulse Hybrid Automata Stability // International Conference on the Occasion of the 150th Birthday of Aleksandr Mikhail Lyapunov “Lyapunov Memorial Conference”. June 24–30. Kharkiv. – P. 13–14.
48. Bychkov A.S. Investigation of Stability of a New Class of Fuzzy Differential Equations Using Second Lyapunov Function / A.S. Bychkov, M.G. Merkuriev // The Second International Conference Nonlinear Dynamics. Dedicated to the 150th Anniversary of A.M. Lyapunov, September 25–28, Kharkiv, 2007. – P. 65.
49. Bychkov A.S. Necessary and Sufficient Conditions for the Stability of Local States of Linear Hybrid Automata / A.S. Bychkov, E.V. Ivanov // International Conference “Differential Equations and Topology”. June 17–22, Moscow, 2008. – P. 107–108.
50. Bychkov O.S. A Numerical Method for Solving Fuzzy Differential Equations / O.S. Bychkov, Ye.V. Ivanov // Twelfth International Scientific Conference Named after Academician M. Kravchuk, May 15–17, Kyiv, 2008. – P. 502.
51. Bychkov A.S. Stability of Hybrid Automata with Fuzzy Dynamics / A.S. Bychkov // Stability and Oscillations of Nonlinear Control Systems, June 1–4, Moscow, 2010. – P. 77.
52. Bychkov A.S. New Sufficient Conditions for Stability of Equilibrium Points of Hybrid Automata / A.S. Bychkov, E.V. Ivanov // Stability and Oscillations of Nonlinear Control Systems, June 1–4, Moscow, 2010. – P. 77.
53. Bychkov A.S. Application of Possibility Theory for Modelling Fuzzy Processes / A.S. Bychkov // Proceedings of the International Scientific Conference Modelling-2010 – Kyiv, 2010. – Vol. 1. – P. 210–217.
54. Bychkov A.S. Investigation of Stability with Respect to Part of Variables in Hybrid Automata // The 3rd International Conference Nonlinear Dynamics, September 21–24, Kharkiv, 2010. – P. 50–55.
55. Bychkov A.S. On the Stability of Fuzzy Hybrid Automata with Fuzzy Switching / A.S. Bychkov, E.O. Bakhtin // Abstracts of the XV International Conference Dynamical System Modelling and Stability Investigation (DSMSI-2011), May 25–27, Kyiv, 2011. – P. 411.
56. Bychkov A.S. On the Stability with Respect to Part of Variables of Hybrid Automata / A.S. Bychkov, V.V. Smelov // Abstracts of the XV International Conference Dynamical System Modelling and Stability Investigation (DSMSI-2011), May 25–27, Kyiv, 2011. – P. 127.
57. Bychkov A.S. Stability of the Zero Trajectory of a Linear Hybrid Automaton with Fuzzy Cyclic Switching / A.S. Bychkov, E.M. Marinin // Abstracts of the XV International Conference Dynamical System Modelling and Stability Investigation (DSMSI-2011), May 25–27, Kyiv, 2011. – P. 409.
58. Bychkov O.S. On the Stability of Fuzzy Dynamical Systems Defined by an Equation with a Fuzzy Random-Walk Process // International Conference “Dynamical Systems and Their Applications”, May 16–18, Kyiv, 2012. – P. 47.
59. Bychkov A.S. Stability of Linear Impulsive Hybrid Automata with Fuzzy Cyclic Switching / A.S. Bychkov, O.H. Pavlyuchenko // XIX International Conference “Problems of Decision Making under Uncertainties” (PDMU-2012), April 23–27, Mukachevo, 2012. – P. 62.
60. Bychkov A.S. Stability of Linear Fuzzy Hybrid Automata with Fuzzy Switching / A.S. Bychkov // XII International Conference Stability and Oscillations of Nonlinear Control Systems. June 5–8, Moscow, 2012. – P. 63–65.
