Results 181 to 190 of about 14,104 (237)
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Kharitonov's theorem and the second method of lyapunov
Systems & Control Letters, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mansour, Mohamed, Anderson, Brian D. O.
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On the theory of Lyapunov’s direct method
Doklady Mathematics, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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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Constituting an Extension of Lyapunov’s Direct Method
SIAM Journal on Control and OptimizationzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Majid Akbarian +2 more
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A hybrid method for computing Lyapunov exponents
Numerische Mathematik, 2009The 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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Generalized energies and the Lyapunov method
1992Thus 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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Parallelizable Flows and Lyapunov's Second Method
The Annals of Mathematics, 1961This 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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Lyapunov method for the stability of fluid networks
Operations Research Letters, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Heng-Qing Ye, Hong Chen 0012
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Computing Lyapunov exponents of continuous dynamical systems: method of Lyapunov vectors
Chaos, Solitons & Fractals, 2005The paper proposes a new method for computing the Lyapunov characteristic exponents of general continuous dynamical systems. There are several methods for finding numerical values of Lyapunov's exponents, e.g., Wolf's algorithm and the QR method.
Lu, Jia +3 more
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On the error in computing Lyapunov exponents by QR Methods
Numerische Mathematik, 2005The authors consider the nonautonomous linear system \[ x'= A(t)x,\quad t\geq 0,\quad x(0)= X_0. \] The study of the asymptotic behavior of the solution depends of the Lyapunov spectrum. If \(X\) is a fundamental matrix solution, then this spectrum is calculated using QR methods in two forms: discrete and continuous.
Luca Dieci, Erik S. Van Vleck
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