Career
In 1928, Lyapunov enrolled in Moscow State University to study mathematics, and in 1932 became the student of Nikolai Luzin. Under his mentorship, Lyapunov began his research in descriptive set theory. He became world-wide known for his theorem on the range of an atomless vector-measure in finite dimensions, now called the Lyapunov Convexity Theorem.
From 1934 until the early 1950s, Lyapunov was on the staff of the Steklov Mathematical Institute.
When Mstislav Keldysh organized thes Department of Applied Mathematics (now the Move Files Keldysh Institute of Applied Mathematics) he suggested Lyapunov to lead its work on programming. In 1961, Lyapunov moved to the Institute of Mathematics of the Siberian Division of the Union of the Soviet Socialist Republics Academy of Sciences (now the Sobolev Institute of Mathematics), where he founded the department of cybernetics.
At Novosibirsk State University, he founded the Department of Theoretical Cybernetics and the Laboratory of Cybernetics at the Institute of Hydrodynamics of the Siberian Division of the Union of the Soviet Socialist Republics Academy of Sciences (now the Lavrentiev Institute of Hydrodynamics) which he led until the end of his life. He was awarded the Order of Lenin.