Automatikos terminų žodynas. – Vilnius: Technika. Vilius Antanas Geleževičius, Angelė Kaulakienė, Stanislovas Marcinkevičius. 2004.
Lyapunov function — In mathematics, Lyapunov functions are functions which can be used to prove the stability of a certain fixed point in a dynamical system or autonomous differential equation. Named after the Russian mathematician Aleksandr Mikhailovich Lyapunov,… … Wikipedia
Control-Lyapunov function — In control theory, a control Lyapunov function V(x,u) [1]is a generalization of the notion of Lyapunov function V(x) used in stability analysis. The ordinary Lyapunov function is used to test whether a dynamical system is stable (more… … Wikipedia
Lyapunov — may refer to:* Prokopy Lyapunov (? 1611), Russian statesman. * Zakhary Lyapunov (? after 1612), Russian statesman, Prokopy Lyapunov s brother. * Mikhail Lyapunov (1820 1868), Russian astronomer * Aleksandr Lyapunov (1857–1918), Russian… … Wikipedia
Lyapunov stability — In mathematics, the notion of Lyapunov stability occurs in the study of dynamical systems. In simple terms, if all solutions of the dynamical system that start out near an equilibrium point x e stay near x e forever, then x e is Lyapunov stable.… … Wikipedia
Lyapunov equation — In control theory, the discrete Lyapunov equation is of the form:A X A^H X + Q = 0where Q is a hermitian matrix. The continuous Lyapunov equation is of form:AX + XA^H + Q = 0.The Lyapunov equation occurs in many branches of control theory, such… … Wikipedia
Lyapunov redesign — In nonlinear control, the technique of Lyapunov redesign refers to the design where a stabilizing state feedback controller can be constructed with knowledge of the Lyapunov function V. Consider the system:dot{x} = f(t,x)+G(t,x) [u+delta(t, x,… … Wikipedia
Lyapunov fractal — Standard Lyapunov logistic fractal with iteration sequence AB, in the region [2, 4] × [2, 4] … Wikipedia
Lyapunov vector function — vektorinė Liapunovo funkcija statusas T sritis automatika atitikmenys: angl. Lyapunov vector function vok. Ljapunovsche Vektorfunktion, f rus. векторная функция Ляпунова, f pranc. fonction vectorielle de Lyapunov, f … Automatikos terminų žodynas
Aleksandr Lyapunov — Infobox Scientist name = Aleksandr Mikhailovich Lyapunov caption = birth date = birth date|1857|6|6 birth place = Yaroslavl, Imperial Russia death date = death date and age|1918|11|3|1857|6|6 death place = residence = Russia citizenship =… … Wikipedia
fonction de Lyapunov — Liapunovo funkcija statusas T sritis automatika atitikmenys: angl. Lyapunov function vok. Ljapunov Funktion, f rus. функция Ляпунова, f pranc. fonction de Lyapunov, f … Automatikos terminų žodynas
