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Composer Sergei Lyapunov, mathematician Aleksandr Lyapunov, and philologist Boris Lyapunov were his close relatives. In 1928, Lyapunov enrolled at Moscow State University to study mathematics, and in 1932 he became a student of Nikolai Luzin. Under his mentorship, Lyapunov began his research in descriptive set theory. He became world-wide known ...
Aleksandr Mikhailovich Lyapunov [a] [b] (Алекса́ндр Миха́йлович Ляпуно́в, 6 June [O.S. 25 May] 1857 – 3 November 1918) was a Russian mathematician, mechanician and physicist.
A Lyapunov function for an autonomous dynamical system {: ˙ = ()with an equilibrium point at = is a scalar function: that is continuous, has continuous first derivatives, is strictly positive for , and for which the time derivative ˙ = is non positive (these conditions are required on some region containing the origin).
The Lyapunov equation, named after the Russian mathematician Aleksandr Lyapunov, is a matrix equation used in the stability analysis of linear dynamical systems. [ 1 ] [ 2 ] In particular, the discrete-time Lyapunov equation (also known as Stein equation ) for X {\displaystyle X} is
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The idea of Lyapunov stability can be extended to infinite-dimensional manifolds, where it is known as structural stability, which concerns the behavior of different but "nearby" solutions to differential equations. Input-to-state stability (ISS) applies Lyapunov notions to systems with inputs.
Aleksandr Lyapunov (1857–1918), Russian mathematician, mechanician and physicist; Liverij Darkshevich (1858–1925), Russian neurologist; Sergei Lyapunov (1859–1924), Russian composer and pianist; Konstantin Satunin (1863–1915), Russian zoologist; Mikhail Kuzmin (1872–1936), Russian poet, musician and novelist
NEW YORK (Reuters) -Alex Mashinsky, founder and former CEO of cryptocurrency lender Celsius Network, pleaded guilty on Tuesday to two counts of fraud. Mashinsky, 59, was indicted on July 13, 2023 ...