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Institute for Problems in Mechanical Engineering
of the Russian Academy of Sciences

Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences

Congratulations to Nikolay V. Kuznetsov on being awarded the Andronov Prize by the Russian Academy of Science!

Laureate of the Prize named after academician A.A. Andronov Prize of the Russian Academy of Sciences became Head of the Laboratory of Information and Control Systems of the Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences, Head of the Department of Applied Cybernetics of St. Petersburg State University, Academician Nikolay Vladimirovich Kuznetsov for the series of works “Theory of Hidden Oscillations and Stability of Control Systems”.

The Andronov Prize was established by the USSR Academy of Sciences in 1971 in honor of Academician Aleksandr Aleksandrovich Andronov (1901–1952), the founder of the theory of oscillations and a well-known specialist in radiophysics, applied mechanics, and control theory. The prize was awarded every three years for outstanding work in classical mechanics and control theory. A total of 32 scientists have become laureates of the prize (7 times the prize was awarded to one laureate and 10 times to teams). Among the laureates are famous scientists from St. Petersburg – A.A. Pervozvansky (1986), G.A. Leonov (2011), I.I. Blekhman, and A.L. Fradkov (2018). This year, the Andronov Prize was awarded by the Russian Academy of Sciences for the last time due to the reform of the academic awards system – academician Nikolay V. Kuznetsov became its last laureate.

The foundations of the theory of hidden oscillations were laid in the doctoral dissertation of Nikolay Kuznetsov (2016), where a new classification of oscillations as self-exciting and hidden was proposed (in contract to the self-excited attractors, hidden attractor’s basin of attraction does not touch the equilibrium states of the system in the phase space). The theory of hidden oscillations, which represents the genesis of the modern era of Andronov’s theory of oscillations, is in demand in many theoretical and applied problems in which hidden oscillations (their absence or presence and location) play an important role. The methods developed byN.V. Kuznetsov made it possible to reveal hidden oscillations and determine the global stability boundaries in a number of famous problems, including the problem of M.V. Keldysh on the nonlinear analysis of flutter suppression systems for aircraft controls, the problem of A.A. Andronov and I.A. Vyshnegradsky on the global stability of flyingball regulator, the problem of determining the stability of a closed nonlinear dynamic model of the control system of the Sayano-Shushenskaya hydroelectric power station, the Chua conjecture of self-excitation of chaotic oscillations in the Chua circuit, 16th Hilbert problem on the number and disposition of limit cycles on the plane, Sommerfeld effect on energy exchange between vibrating subsystems, the Kalman conjecture on the absolute stability of control systems, and many others.

Kuznetsov's theory of hidden oscillations has received wide recognition from the scientific community, and was acclaimed at his election to the Finnish Academy of Sciences and Letters (2020) and the Russian Academy of Sciences (2022). N. Kuznesov has been repeatedly included in the ranking of 0.1% of the most cited scientists in their fields in the world according to Web of Science (Highly Cited Researchers). The team led by N.V. Kuznetsov received and maintains to this day the status of the Leading Scientific School of the Russian Federation in the field of mathematics and mechanics. N.V. Kuznetsov's results on the theory of hidden oscillations were recognized with the St. Petersburg State University Prize for Scientific Work (2020); the International Afraimovich Award (2021); presentation in the Russian Scientific Foundation digest on the best results of grant recipients and in the Annual report of the President of the Russian Academy of Sciences on the most important scientific achievements of Russian scientists (2023).

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