- Lyapunov theorem
- теорема f Ляпунова
English-Russian Dictionary on Probability, Statistics, and Combinatorics. — Philadelphia and Moscow. Society for Industrial and Applied Mathematics and TVP Science Publishers. K. A. Borovkov. 1994.
Lyapunov theorem
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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 exponent — In mathematics the Lyapunov exponent or Lyapunov characteristic exponent of a dynamical system is a quantity that characterizes the rate of separation of infinitesimally close trajectories. Quantitatively, two trajectories in phase space with… … 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's central limit theorem — In probability theory, Lyapunov s central limit theorem is one of the variants of the central limit theorem. Unlike the classical central limit theorem, which requires that the random variables in question be both independent and identically… … Wikipedia
Central limit theorem — This figure demonstrates the central limit theorem. The sample means are generated using a random number generator, which draws numbers between 1 and 100 from a uniform probability distribution. It illustrates that increasing sample sizes result… … Wikipedia
Oseledets theorem — In mathematics, the multiplicative ergodic theorem, or Oseledets theorem provides the theoretical background for computation of Lyapunov exponents of a nonlinear dynamical system. It was proved by Valery Oseledets (also spelled Oseledec ) in 1965 … Wikipedia
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
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
Stable manifold theorem — In mathematics, especially in the study of dynamical systems and differential equations, the stable manifold theorem is an important result about the structure of the set of orbits approaching a given hyperbolic fixed point. Stable manifold… … Wikipedia
Comparison theorem — A comparison theorem is any of a variety of theorems that compare properties of various mathematical objects. Riemannian geometry In Riemannian geometry it is a traditional name for a number of theorems that compare various metrics and provide… … Wikipedia
