asymptotically stable system

  • 21Heteroclinic cycle — In mathematics, a heteroclinic cycle is an invariant set in the phase space of a dynamical system. It is a topological circle of equilibrium points and connecting heteroclinic orbits. If a heteroclinic cycle is asymptotically stable, approaching… …

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  • 22Logarithmic norm — In mathematics, a logarithmic norm or Lozinskiĭ measure is a scalar quantity associated with a complex square matrix and an induced matrix norm. It was independently introduced by Germund Dahlquist and Sergei Lozinskiĭ in 1958. [Torsten Ström, On …

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  • 23Massera's lemma — In stability theory and nonlinear control, Massera s lemma, named after José Luis Massera, deals with the construction of the Lyapunov function to prove the stability of a dynamical system.[1] The lemma appears in (Massera 1949, p. 716) as… …

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  • 24Autonomous convergence theorem — In mathematics, an autonomous convergence theorem is one of a family of related theorems which give conditions for global asymptotic stability of a continuous dynamical system.HistoryThe Markus Yamabe conjecture was formulated as an attempt to… …

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  • 25Martin Brokate — (* 30. Januar 1953) ist ein deutscher Mathematiker und derzeit Ordinarius für numerische Mathematik und Steuerungstheorie an der TU München. Seine Arbeitsgebiet sind die angewandte Analysis und Optimierung. Inhaltsverzeichnis 1 Lebenslauf und… …

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  • 26Stability theory — In mathematics, stability theory deals with the stability of solutions (or sets of solutions) for differential equations and dynamical systems. Definition Let (R, X, Φ) be a real dynamical system with R the real numbers, X a locally compact… …

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  • 27Mass in general relativity — General relativity Introduction Mathematical formulation Resources Fundamental concepts …

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  • 28Normal distribution — This article is about the univariate normal distribution. For normally distributed vectors, see Multivariate normal distribution. Probability density function The red line is the standard normal distribution Cumulative distribution function …

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  • 29Software versioning — is the process of assigning either unique version names or unique version numbers to unique states of computer software. Within a given version number category (major, minor), these numbers are generally assigned in increasing order and… …

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  • 30Kepler problem in general relativity — The Kepler problem in general relativity involves solving for the motion of two spherical bodies interacting with one another by gravitation, as described by the theory of general relativity.Typically, and in this article, one body is assumed to… …

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