Gamkrelidze Revaz

Revaz Gamkrelidze (b. February 4, 1927, Kutaisi – d. May 8, 2025, Moscow) is a mathematician, full member of the Georgian Academy of Sciences (1969), corresponding member of the Academy of Sciences of the Soviet Union (1981), full member of the Russian Academy of Sciences (2003), Doctor of Science in Physics and Mathematics (1961), professor (1962). He studied at Tbilisi State University (TSU) and graduated from Moscow State University (1950). In 1953, he started working at the Steklov Mathematical Institute of the Russian Academy of Sciences. In 1988, he became the head of the Department of this institute. From 1961, he was the editor-in-chief of the Russian journal “Mathematics” and the head of the Department of Mathematics of the Russian Institute for Scientific and Technical Information. In 1968, he became the head of the Department of Control Theory at TSU.

His main works cover the issues of topology, differential equations, automatic control and the theory of optimal processes, etc. He computed Chern cycles of complex algebraic manifolds. Gamkrelidze was the first who has proved the maximum principle, the necessary optimality condition of control for the linear time- optimal control problem; He discovered and studied sliding optimal modes, investigated the optimal problems with bounded phase coordinates and quasi-convex set and a quasi-convex filter in vector topological spaces, which laid the foundation for creation of a general theory of extremal problems (Lenin Prize, 1962,  with L. Pontryagin, V. Boltyansky and E. Mishchenko; A. Razmadze Prize, 1980).

Literary works: Математическая теория оптимальных процессов, [3 изд.], М., 1976 (თანაავტ.); Основы оптимального управления, 2 изд. Тб., 1977.

Literature: ებანოიძე თ., რ. გამყრელიძის დაბადების 60 წლისთავის გამო, «მეცნიერება და ტექნიკა», 1987, № 2.