Lyapunov is known for his development of the stability theory of a dynamical system, as well as for his many contributions to mathematical physics and probability theory.

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 …

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 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 …

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 …

Dec 3, 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 …

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 …

From 1870 to 1876 Lyapunov together with his friend Andrei Markov (1856-1922) attended the gymnasium in Nizhny-Novgorod. Lyapunov and Markov then studied at the University of St. …

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 …

Lyapunov developed many important approximative methods. His methods, today named Lyapunov methods, which he developed in 1899, make it possible to define the stability of sets …