Vadim Fyodorovich Krotov

Vadim Fyodorovich Krotov

Vadim Fyodorowitsch Krotow ( Russian Вадим Фёдорович Кротов ; born February 14, 1932 in Khabarovsk ; † March 4, 2015 in Moscow ) was a Russian mathematician , cyberneticist and university professor .

Life

Krotow studied at the Moscow State Technical University with a degree in 1956. He then worked as an engineer - designer in the Central Research Institute for Heavy Engineering . In 1958 he returned to the Moscow State Technical University for an apprenticeship . There he began to deal with the theory of optimal control . In 1960 his first scientific work on discontinuous solutions to variational problems appeared .

In 1961 Krotow began teaching at the Chair of Flight Dynamics and Control (Head Iwan Wassiljewitsch Ostoslawski ) of the Moscow State Aviation Institute (MAI) . In 1962 he successfully defended his candidate dissertation A new method of the calculus of variations and some conclusions in the Steklow Institute for Mathematics of the Academy of Sciences of the USSR and in 1963 also his doctoral dissertation Some new methods of the calculus of variations and their consequences for flight dynamics in the MAI. In 1967 Krotow became a professor.

In 1968 Krotov was appointed to the chair of advanced mathematics at the Moscow Aviation Technology Institute (MATI) . In 1969 he published together with WI Gurman and WS Bukrejew the monograph New Methods of Calculation of Variations for Flight Dynamics ( New Variational Methods in Flight Dynamics . Transl. TTF-657 NASA, USA 1971). He led the inter-institute seminar Optimal Control through the theory of degenerate unbounded differential equations (WI Gurman) and the optimal control of hybrid (discrete and continuous) systems with new calculation methods (Krotow and Gurman) and invariance conditions (MM Kristalew).

In 1972 Krotow switched to the Moscow Economic Statistics Institute (MESI) as a professor and stayed there until 1996. From 1974 to 1982 he headed the chair for economic cybernetics there . In collaboration with other scientists, in particular from the Central Economic Mathematics Institute (ZEMI) and the All Union Institute for Systems Analysis of the Academy of Sciences, he applied the theory of optimal control to non-linear models of economic growth based on the general equilibrium of Wassily Leontief and directed the sufficient Conditions for the optimality of macroeconomic processes.

In 1982 Krotow became head of Laboratory No. 45 for Mathematical Methods of Optimal Control of Systems in the WA Trapesnikow Institute for Problems of Control Theory (IPU) of the Academy of Sciences. In this laboratory, systems for interactive optimization and systems for modeling and optimizing ecological and economic processes were developed. In 2003, Krotow was named an Honored Scientist of the Russian Federation .

Individual evidence

1. ↑ Vadim Krotov Dead at 83 ( Memento of the original from April 27, 2016 in the Internet Archive ) Info: The archive link was inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice. (accessed April 27, 2016). 
2. ↑ Professor Dr. Vadim Krotov (accessed April 27, 2016).
3. ^ Vadim Fjodorowitsch Krotow (on his 80th birthday) . Automatika i Telemechanika 2012 No. 14, pp. 162–163 (Russian).
4. ↑ Krotow, Vadim Fjodorowitsch (Publications) (Russian, accessed April 27, 2016).
5. ↑ Laboratory No. 45 (Russian, accessed April 27, 2016).
6. ↑ 75 years of the WA Trapesnikov Institute for Problems of Control Theory of the Russian Academy of Sciences . IPU RAN, Moscow 2014, ISBN 978-5-91450-148-5 , p. 460 (Russian).
7. ^ P. Safonov: Nature-Economy Simulation System (NESSY) . Proceedings of the International Conference on Decision Support Systems in Resource Management, Texas A&M University, College Station, USA, 1991.