He was the son of the astronomer Mikhail Lyapunov and the brother of the pianist and composer Sergei Lyapunov. Lyapunov is known for his development of the stability theory of a dynamical system, as …

Lyapunov theory Lyapunov theory is used to make conclusions about trajectories of a system ̇x = f (x) (e.g., G.A.S.) without finding the trajectories (i.e., solving the differential equation) typical Lyapunov …

Aleksandr Lyapunov was a Russian mathematician best known for his development of the stability theory of a dynamical system. He also made contributions to mathematical physics and probability …

Lyapunov Stability The stability of solutions to ODEs was first put on a sound mathematical footing by Lya-punov circa 1890. This theory still dominates modern notions of stability, and provides the …

Mar 18, 2025 · Lyapunov was a Russian mathematician and physicist known for his groundbreaking work in stability theory and dynamical systems. Born in 1857, he made significant contributions to the …

Nov 14, 2025 · A Lyapunov function is a scalar function V (y) defined on a region D that is continuous, positive definite, V (y)>0 for all y!=0), and has continuous first-order partial derivatives at every point …

While we can use the Lyapunov method for linear systems to initialize quadratic Lyapunov functions, the ability to search for the parameters of the Lyapunov functions really shines when the Lyapunov …

Scienti ̄c Honors: Lyapunov was corresponding member of the Acad¶emie des Sciences in Paris and member of the Academia dei Lincei in Italy.

Lyapunov stability is named after Aleksandr Mikhailovich Lyapunov, a Russian mathematician who defended the thesis The General Problem of Stability of Motion at Kharkov University (now VN …

Lyapunov was a son of the astronomer Mikhail Vasilievich Lyapunov, who worked at Kazan University from 1840 until 1855 and was director of the Demidovskt Lyceum in Yaroslavl from 1856 until 1863; …