Results 221 to 230 of about 11,987,045 (279)

Discretization of Second Lyapunov Method

Qualitative Theory of Dynamical Systems, 2015
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Polulyakh, Eugene, Sharko, Volodymyr, Vlasenko, Igor   +2 more
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Lyapunov based reasoning methods

IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans, 2001
Semiquantitative simulation is an approach for the analysis of uncertain dynamic systems that performs a comprehensive simulation study based on automated reasoning methods. Semiquantitative simulation of complex models is, however, hindered by the limited automated reasoning capabilities of the currently available semiquantitative simulation ...
Michael W. Hofbaur, Nicolaos Dourdoumas
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Kharitonov's theorem and the second method of lyapunov

Systems & Control Letters, 1992
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Mansour, Mohamed, Anderson, Brian D. O.
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On the theory of Lyapunov’s direct method

Doklady Mathematics, 2006
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Constituting an Extension of Lyapunov’s Direct Method

SIAM Journal on Control and Optimization
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Majid Akbarian, Naser Pariz, Aghileh Heydari   +2 more
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Stochastic Lyapunov method

Nonlinear Differential Equations and Applications NoDEA, 1995
Let \((\Omega, {\mathcal F}, P)\) be a complete probability space, and let \(\{{\mathcal F}_t \subset {\mathcal F}\}\) be an increasing family of \(\sigma\)-sub-algebras adopted to a standard \(m\)-dimensional Wiener process \(W\). The authors consider solutions to the stochastic differential equation (*) \(dx = f(x(t)) dt + \sigma (x(t)) dW(t)\), \(x \
Aubin, Jean-Pierre, Da Prato, Giuseppe
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Generalized energies and the Lyapunov method

1992
Thus far in convection studies we have explored uses of the energy method that have concentrated on employing some form of kinetic-like energy, involving combinations of L 2 integrals of perturbation quantities. While this is fine and yields strong results for a large class of problem, there are many situations where such an approach leads only to weak
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Review on computational methods for Lyapunov functions

Discrete and Continuous Dynamical Systems - Series B, 2015
Lyapunov functions are an essential tool in the stability analysis of dynamical systems, both in theory and applications. They provide sufficient conditions for the stability of equilibria or more general invariant sets, as well as for their basin of ...
Sigurdur Hafstein, Peter Gießl
exaly   +1 more source

A hybrid method for computing Lyapunov exponents

Numerische Mathematik, 2009
The authors propose a numerical method based on the discrete QR-method combined with spatial integration to compute all the Lyapunov exponents of a dynamical system. This is a combination of the usual time averages in the computation of Lyapunov exponents (in this case a common QR discrete method) and the method of spatial averages introduced by ...
Beyn, Wolf-Jürgen, Lust, Alexander
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Parallelizable Flows and Lyapunov's Second Method

The Annals of Mathematics, 1961
This paper is divided into two parts. Part I deals with flows on arbitrary metric spaces and answers completely the question when they are parallelizable. We give an elementary proof for arbitrary locally compact separable metric spaces which, incidentally, also clarifies the role of Niemytskii's notion of an improper saddle point.
Dugundji, John, Antosiewicz, H. A.
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