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condition of asymptotic stability

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  • stability — is best defined as the opposite of instability, which is the occurrence of large structural deformations which are not the result of material failure. Note: passenger vehicles exhibit varying characteristics depending upon test conditions and… …   Mechanics glossary

  • 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

  • Czesław Olech — Born May 22, 1931 (1931 05 22) (age 80) Pińczów, Poland Nationality Polish …   Wikipedia

  • C0-semigroup — In mathematics, a C0 semigroup, also known as a strongly continuous one parameter semigroup, is a generalization of the exponential function. Just as exponential functions provide solutions of scalar linear constant coefficient ordinary… …   Wikipedia

  • List of mathematics articles (A) — NOTOC A A Beautiful Mind A Beautiful Mind (book) A Beautiful Mind (film) A Brief History of Time (film) A Course of Pure Mathematics A curious identity involving binomial coefficients A derivation of the discrete Fourier transform A equivalence A …   Wikipedia

  • Recurrence relation — Difference equation redirects here. It is not to be confused with differential equation. In mathematics, a recurrence relation is an equation that recursively defines a sequence, once one or more initial terms are given: each further term of the… …   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

  • Systemes a commutation — Systèmes à commutation Les systèmes à commutation représentent une classe de systèmes dynamiques hybrides (voir l article système hybride). Un système à commutation est composé d une famille de sous systèmes à dynamique continue (de type équation …   Wikipédia en Français

  • Systèmes à commutation — Les systèmes à commutation représentent une classe de systèmes dynamiques hybrides (voir l article système hybride). Un système à commutation est composé d une famille de sous systèmes à dynamique continue (de type équation différentielle ou… …   Wikipédia en Français

  • 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

  • Bode plot — ; the straight line approximations are labeled Bode pole ; phase varies from 90° at low frequencies (due to the contribution of the numerator, which is 90° at all frequencies) to 0° at high frequencies (where the phase contribution of the… …   Wikipedia

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