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

Type

journal article - other

Language

English

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.

Keywords

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

Authors

BRANČÍK, L.

RIV year

2009

Released

21. 11. 2009

Publisher

ZČU v Plzni

Location

Plzeň, Česká republika

ISBN

1802-4564

Periodical

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

Year of study

2009

Number

Special issue

State

Czech Republic

Pages from

1

Pages to

4

Pages count

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"
}