The problem on the desk
Krasovskii sought control rules that respond to the current state and still give a guarantee when another player chooses an adverse action. With Subbotin, this became a theory of positional strategies, stable bridges and extremal aiming.1
A life in moments
- 1924
Yekaterinburg
Born on 7 September.2
- 1943–1949
Ural Polytechnic Institute · Sverdlovsk
Studied engineering and began mathematical research with Sergei Chernikov.2
- 1953
Ural Polytechnic Institute · Sverdlovsk
Completed his candidate dissertation on stability.2
- 1959
Ural State University · Sverdlovsk
Began the university phase of his teaching and department leadership.2
- 1970–1977
Institute of Mathematics and Mechanics · Sverdlovsk
Directed the institute.2
- 1988
The English Game-Theoretical Control Problems appeared with Subbotin.1
- 2012
Yekaterinburg
Died on 4 April.3
Every line rests on a dated source (numbered below) unless it carries a mark: R for an inference, S for a story as told.
A story
A name mistaken for a groupS
The 2004 birthday memoir reports a rumour that Western readers once suspected “Krasovskii” was the collective name of several mathematicians.4
No contemporary Western account was located; do not present the rumour as established fact.
Around Krasovskii
- co-author Andrei Subbotin Krasovskii and Subbotin jointly wrote Game-Theoretical Control Problems.1
Recorded as advisors Nikolai Guryevich Chetaev, Iosif Girshevich Malkin, Evgenii Aleksandrovich Barbashin Recorded as students Andrei Izmailovich Subbotin, Alexander Borisovich Kurzhanskii, Yuri Sergeevich Osipov Mathematics Genealogy Project record
The genealogy lists only what the database records; a missing name is not a missing teacher.
The card in the book
Mathematician in Sverdlovsk, now Yekaterinburg, at the Ural Polytechnic Institute, the Ural State University and the Institute of Mathematics and Mechanics of the Academy of Sciences' Ural branch, which he directed from 1970 to 1977 and which now bears his name. He worked first on the stability of motion, extending Lyapunov's methods, and then built the theory of positional differential games: strategies as feedback rules, the extremal-shift aiming rule, and the alternative theorem on stable bridges, with A. I. Subbotin.
Main works Stability of Motion (Russian 1959; English 1963); Positional Differential Games, with A. I. Subbotin (in Russian, Nauka, 1974; revised English edition, Game-Theoretical Control Problems, Springer, 1988).
To read further
- Nikolai Nikolaevich Krasovskii: on his eightieth birthday, V. I. Berdyshev, A. B. Kurzhanskii, E. F. Mishchenko, Yu. S. Osipov and V. V. Rumyantsev (2004) · scholarly biographical memoir
Sources (4)
- Game-Theoretical Control Problems, N. N. Krasovskii and A. I. Subbotin, 1988; Publisher description and contents
- Nikolai Nikolaevich Krasovskii: on his eightieth birthday, V. I. Berdyshev, A. B. Kurzhanskii, E. F. Mishchenko, Yu. S. Osipov and V. V. Rumyantsev, 2004; p. 3
- Farewell to the Teacher, Ural Branch of the Russian Academy of Sciences, 2012; Nauka Urala, April 2012, no. 8, pp. 4–5
- Nikolai Nikolaevich Krasovskii: on his eightieth birthday, V. I. Berdyshev, A. B. Kurzhanskii, E. F. Mishchenko, Yu. S. Osipov and V. V. Rumyantsev, 2004; p. 4
The facts on this page were gathered for the site from the sources listed, each checked against its locator; the book's card is reproduced unchanged.