Nikolai Nikolaevich Krasovsky
Encyclopedia
Nikolay Nikolayevich Krasovsky is a prominent Russian
mathematician who works in the mathematical theory of control
, the theory of dynamical systems, and the theory of differential games
. He is the author of Krasovskii-LaSalle principle
and the chief of the Ural
scientific school in mathematical theory of control and the theory of differential games.
(now Yekaterinburg
, Russia
) in the family of a known doctor. In 1949, he graduated summa cum laude from the department of metallurgical science at the Ural State Technical University
. In 1954, he presented his first thesis and received his kandidat nauk degree in mathematics. In 1957, he defended his second thesis for the degree of doktor nauk
and became a professor of mathematics.
From 1949 to 1959, he worked at the Ural State Technical University. Since 1958, he works at the Ural State University
.
Russians
The Russian people are an East Slavic ethnic group native to Russia, speaking the Russian language and primarily living in Russia and neighboring countries....
mathematician who works in the mathematical theory of control
Control theory
Control theory is an interdisciplinary branch of engineering and mathematics that deals with the behavior of dynamical systems. The desired output of a system is called the reference...
, the theory of dynamical systems, and the theory of differential games
Game theory
Game theory is a mathematical method for analyzing calculated circumstances, such as in games, where a person’s success is based upon the choices of others...
. He is the author of Krasovskii-LaSalle principle
Krasovskii-LaSalle principle
The Krasovskii–LaSalle principle is a criterion for the asymptotic stability of a dynamical system.- The global Krasovskii–LaSalle principle :Given a representation of the systemwhere \mathbf x is the vector of variables, with...
and the chief of the Ural
Ural (region)
Ural is a geographical region located around the Ural Mountains, between the East European and West Siberian plains. It extends approximately from north to south, from the Arctic Ocean to the bend of Ural River near Orsk city. The boundary between Europe and Asia runs along the eastern side of...
scientific school in mathematical theory of control and the theory of differential games.
Biography
Nikolay Krasovsky was born in Sverdlovsk, Soviet UnionSoviet Union
The Soviet Union , officially the Union of Soviet Socialist Republics , was a constitutionally socialist state that existed in Eurasia between 1922 and 1991....
(now Yekaterinburg
Yekaterinburg
Yekaterinburg is a major city in the central part of Russia, the administrative center of Sverdlovsk Oblast. Situated on the eastern side of the Ural mountain range, it is the main industrial and cultural center of the Urals Federal District with a population of 1,350,136 , making it Russia's...
, Russia
Russia
Russia or , officially known as both Russia and the Russian Federation , is a country in northern Eurasia. It is a federal semi-presidential republic, comprising 83 federal subjects...
) in the family of a known doctor. In 1949, he graduated summa cum laude from the department of metallurgical science at the Ural State Technical University
Ural State Technical University
Ural State Technical University is a higher education institute in Yekaterinburg, Sverdlovsk Oblast, Russian Federation. It is the biggest technical institution of higher education in Russia, with close ties to local industry in the Urals...
. In 1954, he presented his first thesis and received his kandidat nauk degree in mathematics. In 1957, he defended his second thesis for the degree of doktor nauk
Doktor nauk
Doktor nauk is a higher doctoral degree, the second and the highest post-graduate academic degree in the Soviet Union, Russia and in many post-Soviet states. Sometimes referred to as Dr. Hab. The prerequisite is the first degree, Kandidat nauk which is informally regarded equivalent to Ph.D....
and became a professor of mathematics.
From 1949 to 1959, he worked at the Ural State Technical University. Since 1958, he works at the Ural State University
Ural State University
The Ural State University is located in the city of Yekaterinburg, Sverdlovsk Oblast, Russian Federation. Founded in 1920, it was an exclusive educational establishment made of several institutes which later became independent universities and schools.In 1936 the university was named after one of...
.
- 1949–1951 – assistant at the Ural State Technical UniversityUral State Technical UniversityUral State Technical University is a higher education institute in Yekaterinburg, Sverdlovsk Oblast, Russian Federation. It is the biggest technical institution of higher education in Russia, with close ties to local industry in the Urals...
- 1954–1955 – senior lecturer (docent) at the Ural State Technical UniversityUral State Technical UniversityUral State Technical University is a higher education institute in Yekaterinburg, Sverdlovsk Oblast, Russian Federation. It is the biggest technical institution of higher education in Russia, with close ties to local industry in the Urals...
- 1958–1959 – professor at the Ural State Technical UniversityUral State Technical UniversityUral State Technical University is a higher education institute in Yekaterinburg, Sverdlovsk Oblast, Russian Federation. It is the biggest technical institution of higher education in Russia, with close ties to local industry in the Urals...
- 1959–1960 – chief of the chair of theoretical mechanics at the Ural State UniversityUral State UniversityThe Ural State University is located in the city of Yekaterinburg, Sverdlovsk Oblast, Russian Federation. Founded in 1920, it was an exclusive educational establishment made of several institutes which later became independent universities and schools.In 1936 the university was named after one of...
- 1961–1963 – chief of the chair of computing mathematics at the Ural State UniversityUral State UniversityThe Ural State University is located in the city of Yekaterinburg, Sverdlovsk Oblast, Russian Federation. Founded in 1920, it was an exclusive educational establishment made of several institutes which later became independent universities and schools.In 1936 the university was named after one of...
- 1965–1970 – chief of the chair of applied mathematics at the Ural State UniversityUral State UniversityThe Ural State University is located in the city of Yekaterinburg, Sverdlovsk Oblast, Russian Federation. Founded in 1920, it was an exclusive educational establishment made of several institutes which later became independent universities and schools.In 1936 the university was named after one of...
- 1970–1977 – director the Institute of mathematics and mechanics of the Ural branch of the Russian Academy of SciencesRussian Academy of SciencesThe Russian Academy of Sciences consists of the national academy of Russia and a network of scientific research institutes from across the Russian Federation as well as auxiliary scientific and social units like libraries, publishers and hospitals....
- 1971–1986 – professor at the chair of applied mathematics at the Ural State UniversityUral State UniversityThe Ural State University is located in the city of Yekaterinburg, Sverdlovsk Oblast, Russian Federation. Founded in 1920, it was an exclusive educational establishment made of several institutes which later became independent universities and schools.In 1936 the university was named after one of...
- since 1986 – professor of the chair of theoretical mechanics at the Ural State UniversityUral State UniversityThe Ural State University is located in the city of Yekaterinburg, Sverdlovsk Oblast, Russian Federation. Founded in 1920, it was an exclusive educational establishment made of several institutes which later became independent universities and schools.In 1936 the university was named after one of...
- Advisor of the Ural branch of the Russian Academy of SciencesRussian Academy of SciencesThe Russian Academy of Sciences consists of the national academy of Russia and a network of scientific research institutes from across the Russian Federation as well as auxiliary scientific and social units like libraries, publishers and hospitals....
Honours
- Order of the Red Banner of LabourOrder of the Red Banner of LabourThe Order of the Red Banner of Labour was an order of the Soviet Union for accomplishments in labour and civil service. It is the labour counterpart of the military Order of the Red Banner. A few institutions and factories, being the pride of Soviet Union, also received the order.-History:The Red...
(1961) - Full member (academician) of the Russian Academy of SciencesRussian Academy of SciencesThe Russian Academy of Sciences consists of the national academy of Russia and a network of scientific research institutes from across the Russian Federation as well as auxiliary scientific and social units like libraries, publishers and hospitals....
(1968) - Hero of Socialist LaborHero of Socialist LaborHero of Socialist Labour was an honorary title in the Soviet Union and other Warsaw Pact countries. It was the highest degree of distinction for exceptional achievements in national economy and culture...
(1974) - Order of LeninOrder of LeninThe Order of Lenin , named after the leader of the Russian October Revolution, was the highest decoration bestowed by the Soviet Union...
(1974) - Lenin PrizeLenin PrizeThe Lenin Prize was one of the most prestigious awards of the USSR, presented to individuals for accomplishments relating to science, literature, arts, architecture, and technology. It was created on June 23, 1925 and was awarded until 1934. During the period from 1935 to 1956, the Lenin Prize was...
(1976) - for his work in mathematical control theory - USSR State PrizeUSSR State PrizeThe USSR State Prize was the Soviet Union's state honour. It was established on September 9, 1966. After the breakup of the Soviet Union, the prize was followed up by the State Prize of the Russian Federation....
(1984) - Order of the October RevolutionOrder of the October RevolutionThe Order of the October Revolution was instituted on October 31, 1967, in time for the 50th anniversary of the October Revolution. It was awarded to individuals or groups for services furthering communism or the state, or in enhancing the defenses of the Soviet Union, military and civil...
(1984) - Honorary foreign member of the Hungarian Academy of SciencesHungarian Academy of SciencesThe Hungarian Academy of Sciences is the most important and prestigious learned society of Hungary. Its seat is at the bank of the Danube in Budapest.-History:...
(1988) - Lyapunov Gold Medal of the Russian Academy of SciencesRussian Academy of SciencesThe Russian Academy of Sciences consists of the national academy of Russia and a network of scientific research institutes from across the Russian Federation as well as auxiliary scientific and social units like libraries, publishers and hospitals....
(1992) - Doctor Honoris Causa of the Ural State Technical UniversityUral State Technical UniversityUral State Technical University is a higher education institute in Yekaterinburg, Sverdlovsk Oblast, Russian Federation. It is the biggest technical institution of higher education in Russia, with close ties to local industry in the Urals...
(1994) - Professor Emeritus of the Ural State UniversityUral State UniversityThe Ural State University is located in the city of Yekaterinburg, Sverdlovsk Oblast, Russian Federation. Founded in 1920, it was an exclusive educational establishment made of several institutes which later became independent universities and schools.In 1936 the university was named after one of...
(1996) - Lomonosov Gold MedalLomonosov Gold MedalThe Lomonosov Gold Medal, named after Russian scientist and polymath Mikhail Lomonosov, is awarded each year since 1959 for outstanding achievements in the natural sciences and the humanities by the USSR Academy of Sciences and later the Russian Academy of Sciences . Two medals are awarded...
of the Russian Academy of SciencesRussian Academy of SciencesThe Russian Academy of Sciences consists of the national academy of Russia and a network of scientific research institutes from across the Russian Federation as well as auxiliary scientific and social units like libraries, publishers and hospitals....
(1996) - Demidov PrizeDemidov PrizeThe Demidov Prize was a national scientific prize in the Russian Empire awarded annually to the members of the Russian Academy of Sciences. One of the most prestigious and oldest scientific awards in the world, its traditions influenced other awards of this kind including the Nobel Prize...
(1996) - Order of Merit for the FatherlandOrder of Merit for the FatherlandThe Order of Merit for the Fatherland was instituted on 2 March 1994 by Presidential Decree. The statutes describe it as a decoration for merit, not an order of knights....
of 3rd degree (1999) - Vonsovsky Gold Medal of the Ural Branch of the Russian Academy of SciencesRussian Academy of SciencesThe Russian Academy of Sciences consists of the national academy of Russia and a network of scientific research institutes from across the Russian Federation as well as auxiliary scientific and social units like libraries, publishers and hospitals....
(2003) - IEEE Award (2003)
- Order of Merit for the FatherlandOrder of Merit for the FatherlandThe Order of Merit for the Fatherland was instituted on 2 March 1994 by Presidential Decree. The statutes describe it as a decoration for merit, not an order of knights....
, 2nd class (2004) - Laureate of the Science Support Foundation in the category "Outstanding Scientists" (2006)
- Honorary citizen of YekaterinburgYekaterinburgYekaterinburg is a major city in the central part of Russia, the administrative center of Sverdlovsk Oblast. Situated on the eastern side of the Ural mountain range, it is the main industrial and cultural center of the Urals Federal District with a population of 1,350,136 , making it Russia's...
and the Sverdlovsk region
Sources
- Information at IEEE server: http://www.ieee.org/portal/pages/about/awards/bios/2003controlsys.html
- Information (and photo) at server of Russian Academy of Science (in Russian): http://www.ras.ru/win/db/show_per.asp?P=.id-68.ln-ru
- "Control under Lack of Information" - Book of Krasovsky and his son, translated to English: http://locus.siam.org/SIREV/volume-37/art_1037155.html
- List of publications (in English): http://www.imm.uran.ru/PERSONS/BIOGRAPH/PUB/KRASOVSK.HTM
- Short biography (in Russian): http://www.eunnet.net/USUbio/?base=mag&id=0128