Nikolai Nikolaevich Krasovskii (On the 95th Anniversary of His Birth)

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kolai Nikolaevich Krasovskii (On the 95th Anniversary of His Birth)

DOI: 10.1134/S008154382004001X

More than seven years have passed since the day when Nikolai Nikolaevich Krasovskii passed away. It is difficult to overestimate his contribution to mathematical science, to its fundamental sections such as the qualitative theory of differential equations, optimal control theory, the theory of stability and stabilization of motion, and the theory of control under uncertainty and conflict. His pioneering work in these areas of mathematics and mechanics became the starting point for many studies in Russia and abroad and determined the prospects of their development for years to come. Nikolai Nikolaevich was an outstanding representative of the Ural research school on the theory of stability of motion. He created the Ural research school on the mathematical theory of control and the theory of differential games, known in the world for its achievements. His students include engineers and teachers, doctors and candidates of sciences, corresponding members and academicians of the Russian Academy of Sciences. Many scientific ideas and concepts put forward by Krasovskii were later fruitfully developed by his students and colleagues. The research schools that grew out of his school continue to conduct effective studies. Krasovskii made a significant contribution to mathematical education in the Ural region both as a prominent organizer and as a skillful lecturer. At the Kirov Ural Polytechnical Institute and Gorky Ural State University, he developed and gave a large number of special courses, which were original in content and contained the latest scientific achievements, including those obtained by himself. Two new departments, the Departments of Computational Mathematics and the Department of Applied Mathematics, were founded by Krasovskii at Ural State University for training students in new specializations. The problems of school mathematical education in Russia and in the Ural region were taken especially seriously by Krasovskii. He expressed deep concern about the reforms of school education, in particular, mathematical education, carried out in recent decades. Krasovskii’s role in solving the conceptual, methodological, and organizational problems of teaching the subject “Basics of Informatics and Computing Machinery” in schools of the Sverdlovsk is invaluable; for more details, see the paper dedicated to the 90th anniversary of his birth in Proc. Steklov Inst. Math. 291 (Suppl. 1), S1–S21 (2015). Krasovskii’s scientific achievements were highly appreciated by the state (he was Hero of Socialist Labor, winner of the Lenin Prize and the State Prize, and holder of orders of the Soviet Union and Russia) and by the scientific community (Lomonosov Gold Medal of the Russian S1

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Academy of Sciences, Lyapunov Gold Medal, Demidov Prize for Physics and Mathematics, and IEEE Control Systems Award). He was a Doctor Honoris Causa of the Hungarian Academy of Sciences and was awarded a prize of the program “Outstanding Scie