Detail publikačního výsledku

Numerical ILTs Applied to Weakly Nonlinear Systems Described by Second-Order Volterra Series

BRANČÍK, L.

Originální název

Numerical ILTs Applied to Weakly Nonlinear Systems Described by Second-Order Volterra Series

Anglický název

Numerical ILTs Applied to Weakly Nonlinear Systems Described by Second-Order Volterra Series

Druh

Článek recenzovaný mimo WoS a Scopus

Originální abstrakt

In the paper the techniques of numerical inverse Laplace transforms (NILTs) are applied to get the time-domain responses of some classes of weakly nonlinear systems. It is enabled by expanding a response of the system into the Volterra series in connection with the multidimensional Laplace transform. For a given system the Volterra kernels transforms are found, and response Laplace transforms inverted numerically. This procedure does not require an association of variables technique which simplifies the solution and saves CPU time. In the paper the method is demonstrated on the example of a simple nonlinear electrical circuit. The one- and two-dimensional NILTs based on FFT/IFFT and quotient-difference (q-d) algorithms are modified for this purpose.

Anglický abstrakt

In the paper the techniques of numerical inverse Laplace transforms (NILTs) are applied to get the time-domain responses of some classes of weakly nonlinear systems. It is enabled by expanding a response of the system into the Volterra series in connection with the multidimensional Laplace transform. For a given system the Volterra kernels transforms are found, and response Laplace transforms inverted numerically. This procedure does not require an association of variables technique which simplifies the solution and saves CPU time. In the paper the method is demonstrated on the example of a simple nonlinear electrical circuit. The one- and two-dimensional NILTs based on FFT/IFFT and quotient-difference (q-d) algorithms are modified for this purpose.

Klíčová slova

Nonlinear system, Volterra series, Volterra kernel, numerical inverse Laplace transforms

Klíčová slova v angličtině

Nonlinear system, Volterra series, Volterra kernel, numerical inverse Laplace transforms

Autoři

BRANČÍK, L.

Rok RIV

2010

Vydáno

21.11.2009

Nakladatel

ZČU v Plzni

Místo

Plzeň, Česká republika

ISSN

1802-4564

Periodikum

ElectroScope - http://www.electroscope.zcu.cz

Svazek

2009

Číslo

Special issue

Stát

Česká republika

Strany od

1

Strany do

4

Strany počet

4

URL

http://www.electroscope.zcu.cz

BibTex

@article{BUT49451,
  author="Lubomír {Brančík}",
  title="Numerical ILTs Applied to Weakly Nonlinear Systems Described by Second-Order Volterra Series",
  journal="ElectroScope - http://www.electroscope.zcu.cz",
  year="2009",
  volume="2009",
  number="Special issue",
  pages="1--4",
  issn="1802-4564",
  url="http://www.electroscope.zcu.cz"
}