Results 241 to 250 of about 11,987,045 (279)

The status of synthesis using Lyapunov's method

Automatica, 1965
This paper surveys the literature devoted to techniques for the synthesis of control systems based on Lyapunov's second method. The work is tutorial in nature and attempts to unify some of the scattered literature on the subject. A number of techniques are reviewed, illustrated with examples, and comments made regarding their applicability and ...
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The Lyapunov–Razumikhin Method: CNNs

2013
In this chapter, by using the concept of differential equations with piecewise constant arguments of generalized type [13–15, 18], the model of cellular neural networks (CNNs) [79, 80] is developed. Lyapunov–Razumikhin technique is applied to find sufficient conditions for uniform asymptotic stability of equilibria.
Marat Akhmet, Enes Yılmaz
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Friedrichs Method in a Lyapunov Problem

Applicable Analysis, 2002
By using the well-known Friedrichs extension and some a priori inequality, we obtain weak solutions of a Lyapunov equation. In particular, we show that the Lyapunov functions satisfying necessary and sufficient conditions in the domain of asymptotic stability of a singular point some dynamical system must be absolutely continuous.
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Method for calculating a Lyapunov exponent

Physical Review A, 1984
A new method is presented for calculating the leading Lyapunov exponent directly from experimental data for systems having a strange attractor with dimensionality near 2. The method is exact for one-dimensional maps and gives good results for systems that have approximate one-dimensional maps associated with them even in the presence of some noise ...
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Chaotic Synchronization, Conditional Lyapunov Exponents and Lyapunov’s Direct Method

2011
In chapter 2, the underlying characteristic of chaos, such as their high sensitivity to parameter and initial condition perturbations, the random like nature and the broadband spectrum, were outlined. Due to these characteristics it was originally thought that chaotic systems could not be synchronized and thus could not be used as part of the coherent ...
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Numerical Methods That Preserve a Lyapunov Function for Ordinary Differential Equations

Mathematics, 2023
M Atencia, Yadira Hernández-Solano
exaly  

Analogy and Convergence of Levenberg’s and Lyapunov-Based Methods for Power Flow Analysis

IEEE Transactions on Power Systems, 2016
Federico Milano
exaly  

Lyapunov's Method Applied to the Hopf Bifurcation

Journal of the London Mathematical Society, 1979
Allwright, D. J., Mees, A. I.
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Geometric Integration Methods that Preserve Lyapunov Functions

BIT Numerical Mathematics, 2005
Volker Grimm, G R W Quispel
exaly  

Direct methods and ADI‐preconditioned Krylov subspace methods for generalized Lyapunov equations

Numerical Linear Algebra With Applications, 2008
Tobias Damm
exaly