Results 291 to 300 of about 29,097,853 (357)

Oscillation via Lyapunov’s Second Method

1997
Here, we shall employ prolific Lyapunov’s second method [179–181,342] to investigate the oscillatory behavior of solutions of second order nonlinear difference equation $$\Delta \left( {a\left( k \right)\Delta y\left( k \right)} \right) + f\left( {k,y\left( {k + 1} \right),\Delta y\left( k \right)} \right) = 0,k \in N.$$ (11.1)
Ravi P. Agarwal, Patricia J. Y. Wong
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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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Constituting an Extension of Lyapunov’s Direct Method

SIAM Journal on Control and Optimization
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Akbarian, N. Pariz, A. Heydari
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A criterion of robustness intelligent nonlinear control for multiple time-delay systems based on fuzzy Lyapunov methods

Nonlinear dynamics, 2013
Cheng-Wu Chen
semanticscholar   +1 more source

Perturbation Methods for Lyapunov Exponents

2007
In order to investigate the long term behavior of a linear dynamical system under the impact of multiplicative mean zero noise, the top Lyapunov exponent associated with the system is studied with its dependence upon the noise intensity and other parameters of the (mostly 2-dimensional) systems.
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Molecular imaging in oncology: Current impact and future directions

Ca-A Cancer Journal for Clinicians, 2022
Steven P Rowe, Martin G Pomper
exaly  

Passive nonlinear observer design for ships using Lyapunov methods: full-scale experiments with a supply vessel

at - Automatisierungstechnik, 1999
T. Fossen, J. Strand
semanticscholar   +1 more source

The Direct Method of Lyapunov

1987
Let us consider a problem of mechanics defined by the system of ordinary differential equations (1.5.1) and let us investigate the stability of a particular solution q i 0 (t). For purposes of simplicity, we have omitted the influence of any parameters. The following variational equations are obtained by the well-known transformation (1.2) q
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A simplified determination of transient stability regions for Lyapunov methods

IEEE Transactions on Power Apparatus and Systems, 1975
F. S. Prabhakara, A. El-Abiad
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Lyapunov Method and Almost Periodicity

2012
The present chapter will deal with the existence and uniqueness of almost periodic solutions of impulsive differential equations by Lyapunov method. Section 3.1 will offer almost periodic Lyapunov functions. The existence results of almost periodic solutions for different kinds of impulsive differential equations will be given.
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