Nikolai Nikolajewitsch Krassovsky

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Nikolai Nikolajewitsch Krassowski ( Russian: Николай Николаевич Красовский ; born September 7, 1924 in Yekaterinburg ; † April 4, 2012 ibid) was a Russian mathematician and university teacher .

Life

Krassowski, the son of a doctor well known in the city , worked as an electrician in the Ordzhonikidze factory after graduating from school . He studied in Sverdlovsk at the Polytechnic Institute of the Urals (UPI) graduating in 1949 with honors. He then taught there. In 1954 he became a member of the CPSU . In the same year he became a candidate and in 1957 a doctorate in physical-mathematical sciences . In 1958 he became head of the chair for higher mathematics .

In 1959 Krasovsky conducted in Mathematics - Mechanics - Faculty of the Urals State University (Urgu) in Sverdlovsk the Chair of Theoretical Mechanics with appointment as professor, from 1961 the Department of Computer -Mathematik and in 1965 the Department of Applied Mathematics . In 1963, Joel Lee Brenner's translation of a book by Krassowski appeared.

In addition to his teaching activities, Krassowski worked from 1963 in the Institute for Mathematics and Mechanics (IMM) of the Ural Department of the Academy of Sciences of the USSR (AN-SSSR), which was founded by Sergei Borissowitsch Stetschkin in 1956 in Sverdlovsk, with support from Ivan Matwejewitsch Winogradow and Mstislav Vsewolodowit . In 1964 Krassowski became a corresponding member of the AN-SSSR and in 1968 a real member. In 1970 he became director of the IMM (until 1977).

Krassovsky's teachers were Evgeni Alexejewitsch Barbashin , Joel Giljewitsch Malkin and Nikolai Gurjewitsch Tschetajew . His main areas of work were mathematical control theory, the theory of dynamic systems and game theory . Together with his son Andrei Nikolajewitsch Krassowski , he wrote a book on control theory. The Krassowski- LaSalle theorem is a criterion for the asymptotic stability of a dynamic system as an extension of the Lyapunow criterion. Krassowski was one of the developers of the optimal control theory. Using the methods of functional analysis , he developed his own theory and formulated necessary and sufficient conditions for optimal solutions. Together with Andrei Ismailowitsch Subbotin , he made the transition from optimal control to game theory. Krassovsky's students included Yuri Sergeyevich Ossipov , Alexander Borissowitsch Kurschanski , Vladimir Evgenyevich Tretyakov and Vladimir Nikolayevich Ushakov .

Krassovsky was buried in the Shirokorechenskoye Cemetery on the Avenue of the City of Honorary Citizens in Yerkaterinburg. The computer school at the Ural University bears Krassowski's name. In 2013, the Krassowski Prize was founded for students under the age of 15 who achieved the most points in the All-Russian Computer Science Olympiads.

Honors, prizes, memberships

Individual evidence

  1. a b c Умер Почетный гражданин Екатеринбурга Николай Красовский . In: Европейско-Азиатские Новости . 2012 ( archive.org [accessed December 5, 2017]).
  2. a b c d e f Landeshelden: Красовский Николай Николаевич (accessed December 6, 2017).
  3. math.ru: Красовский Николай Николаевич (accessed December 6, 2017).
  4. ^ Zentralblatt MATH : Krasovskij, Nikolay Nikolayevich (accessed December 6, 2017).
  5. ^ NN Krasovsky: Stability of Motion: Applications of Lyapunov's second method to differential systems and equations with delay . Stanford University Press , 1963.
  6. RAN: Красовский Николай Николаевич (accessed December 6, 2017).
  7. TO Krasovskii, NN Krasovskii: Control Under Lack of Information . Springer Science & Business Media, 1994.
  8. Премия имени Красовского (accessed December 6, 2017).
  9. ^ IEEE Control Systems Award (accessed December 6, 2017).