Dr. Vadim Krotov
Institute of Control Sciences,
Russian Academy of Sciences, Moscow
1967 Full Professor Diploma (Speciality: Flight Dynamics and Control),
Moscow Aviation Institute, Moscow.
1963 Doctor of Sciences (equal to German Habilitation) in Engineering
(Speciality: Flight Dynamics and Control), Moscow Aviation Institute, Moscow.
1962 Ph. D. in Phys. & Math. (Speciality: Differential equations),
Steklovís Mathematic Institute, USSR Academy of Sciences, Moscow.
1958-61 Postgraduate course (Speciality: Theoretical Mechanics), Baumanís
High Technical School, Moscow.
1956 M.Sc. in Engineering, Mosow State Baumanís Technical University
1982- till recently: Head of Optimal Control Laboratory, Institute
of Control Sciences, Russian Academy of Sciences, Moscow.
1982-1996: Professor, Cybernetics Dept., Institute of Economics &
1974-1982: Professor, Head of Cybernetics Department, Institute of Economics
& Statistics, Moscow.
1972-1974: Head of Mathematics Department, Institute of Planning &
1969-1972: Professor, Head of the High Mathematics Dept., Institute
of Aviation Technology, Moscow.
1961-69: Full Professor, Associate Professor, Research Fellow. Department
of Flight Dynamics and Control, Moscow Aviation Institute; Moscow.
Regular courses of lectures:
Mathematic analysis for ingineering specialities. Differential equations.
Probability and Statistics. Computer methods. Variational Calculus. Optimal
Control. Theoretical Mechanics. Flight dynamics and Control. Automatic
Control, Economic Cybernetics. Chapters of Theoretical Physics.
Invited lectures in Universities and Scientific Centers:
Prague (1978), Vien (1980,90), Irkutsk (1983), Greifsvald (1984,93),
Toulouse (1985), Warsaw (1985,87,89), Budapest (1986), Sophia-Antibe (INRIA,1988),
Leipzig (1989), Tampa (1992), Munich (1995), Heidelberg (1995), Obervolfach
Research Interests and Activities:
Theory of nonlinear controlled dynamic systems with emphasis to optimal
control theory (and calculus of variations), icluding the systems, described
by ordinary differential equations, part differential equations, multistage
dynamic equations (with discrete time), systems with incomplete information.
Basic results, which had been obtained and are developed:
a) New classes of the solutions of variational problems (discontinuous
solutions, sliding regimes).
b) New sufficient conditions for global optimality of the control and
the methods solving control problems based on this.
c) Applied control problems for automatic control, optimal trajectories
of the aircraft and spacecraft, modern problems of applied physics (for
example, laser radiation action to a matter for the energy inflation, synthesis
of new matters and other).
Variational principles and analysis of some theoretical physics foundations.
a) New relativistic theory of elastic continuum, new effects and analogies
with electrodynamics and quantum mechanics. Relation to the unified geometric
theories of field.
b) Some consequences from observation theory related to quantum theory.
Geometrodynamic models of the quantum phenomenon.
Professional Societies Membership:
Russian Engineering Academy;
International Academy of Informatization.
Member of Editorial Board, "Avtomatika i Telemekhanika", Journal
of Russian Academy of Sciences, 1990-1996; (Translated into English as
"Automation and Remote Control"),
Guest Editor, Special issue of "Control and Cybernetics", J. of
Polish Academy Sc.,vol.17, N 2-3, 1988.
Gagarinís Medal "For participation in the fulfillment of USSR Space
List of 15 Most Significant Publications:
(*) These Journals are translated into English.
Krotov V.F. Basic problem of the variational calculus for functionals on
the set of discontinuous functions. Doklady of the USSR Acad. Nauk, 1961,
N1, v. 137. (*)
Krotov V.F. Methods of solution of variational problems on the basis of
sufficient conditions for absolute minimum. I,II,III. Avtomatika i Telemekhanika
(Transl. as "Automation and Remote Control"), 23(1962) N12; 24(1963),N5;
25(1964), N7. (*)
Krotov V.F., Bukreev V.Z. and Gurman V.I. New Variational Methods in Flight
Dynamics. (Monograph). Mashinostroyenie Publ., Moscow, 1969. (English transl.
by National Aeronaut. & Space Adm. (NASA), Transl. TTF-657, 1971, USA).
Krotov V.F. & Gurman V.I. Methods and Problems of Optimal Control (Monograph).
Moscow, Nauka Publ., 1973 (in Russian).
Krotov V.F. Computing methods for solution and optimization of the controlled
systems of equations I, II. Izvestia of USSR Acad. Nauk, Ser. Techn. Cybern.
N5, N6, 1975. (*)
Krotov V.F. Space-Time Elasticity and Foundations of Electrodynamics and
Gravitation Theory. Journal of Franklin Inst., 1987, v. 323, p. 345-372,
Krotov V.F Technique of Global Bounds in Optimal Control Theory. Control
and Cybernetics (Journal of Polish Academy of Sc.), v.17 (1988), N 2,3.
Krotov V.F Global methods to improve control and optimal control of resonance
interaction of light and matter. Modelling and Control of Systems. Proceedings
of the Bellman Continuum Workshop 1988. Springer-V. Berlin, N.Y., Paris.
Krotov V.F. Observation of linear systems and principles of quantum mechanics.
Doklady USSR Acad. Nauk, v.316, N1,1991. (*)
Krotov V.F. & Lagosha B.A. Basis of optimal control theory (University
textbook). Moscow, High School Publ., 1990 (in Russian).
Krotov V.F. Relativistic Elasticity. Izvestia of Russian Acad. Nauk, Ser.
Mechanics of Solid, N 6, 1992. (*)
Krotov V.F. Elastic closure of general theory of relativity. Doklady Acad.
Nauk, v.333, p.727-729. 1993. (*)
Vadim F.Krotov. Global Methods in Optimal Control Theory (Monograph). Marcel
Dekker Ink., Series of Monographs and Textbooks in Pure and Applied Mathematics.
New-York, Basel, Hong Kong, 1996, 408p.
Krotov V.F. Optimal control of flight trajectories. I,II.Avtomatika i Telemekhanika.
N2, 1996; N2, 1997). (*)
Krotov V.F. About principles of quantum mechanics. Doklady Acad. Nauk,
v.353, N6 (April), 1997. (*)
Full name: Krotov Vadim Fedorovitch
Born: January 14, 1932, Khabarovsk, Russia
Civil status: married, 2 children
Office address: Institute of Control Sciences, Russian Academy
65 Profsoyuznaya, Moscow, 117806, Russia
Telefax: +7095 420-20-16
Telephone: +7095 334-91-59 (tel/faxmodem)
Home address: 11-2-156 , Artamonova street, Moscow,121357, Russia
Home telephone: +7095 445-42-09
Last updated: December 7, 1998