View source for Lyapunov stability theory

A theory of the stability of motion, constructed by A.M. Lyapunov at the turn into 20th century (see [[#References|[1]]]). At the basis of it lie the concepts of [[Lyapunov stability|Lyapunov stability]] and asymptotic stability (see [[Asymptotically-stable solution|Asymptotically-stable solution]]), introduced by Lyapunov, Lyapunov's theorem on stability in the first approximation (on which Lyapunov's first method for investigating stability is based) and Lyapunov's second method (see [[Lyapunov function|Lyapunov function]]). The results and methods of Lyapunov, developed for the construction of stability theory, found important and numerous applications in mathematics, mechanics and engineering. See also [[Stability theory|Stability theory]].

====References====
<table><TR><TD valign="top">[1]</TD> <TD valign="top">  A.M. Lyapunov,   "Stability of motion" , Acad. Press  (1966)  (Translated from Russian)</TD></TR></table>