Publication detail

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

BRANČÍK, L.

Original Title

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

English Title

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

Type

journal article

Language

en

Original Abstract

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.

English abstract

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.

Keywords

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

RIV year

2009

Released

21.11.2009

Publisher

ZČU v Plzni

Location

Plzeň, Česká republika

Pages from

1

Pages to

4

Pages count

4

URL

BibTex


@article{BUT49451,
  author="Lubomír {Brančík}",
  title="Numerical ILTs Applied to Weakly Nonlinear Systems Described by Second-Order Volterra Series",
  annote="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.",
  address="ZČU v Plzni",
  chapter="49451",
  institution="ZČU v Plzni",
  journal="ElectroScope - http://www.electroscope.zcu.cz",
  number="Special issue",
  volume="2009",
  year="2009",
  month="november",
  pages="1--4",
  publisher="ZČU v Plzni",
  type="journal article"
}