Publication detail

Utilization of NILTs in Simulation of Nonlinear Systems Described by Volterra Series

BRANČÍK, L.

Original Title

Utilization of NILTs in Simulation of Nonlinear Systems Described by Volterra Series

English Title

Utilization of NILTs in Simulation of Nonlinear Systems Described by Volterra Series

Type

journal article in Web of Science

Language

en

Original Abstract

The techniques of numerical inverse Laplace transforms (NILTs) are applied to get the time-domain responses of some classes of nonlinear systems. It is enabled by expanding the system response into a Volterra series formulated in multidimensional Laplace domains. For a given system the Volterra kernel transforms are found, and the response Laplace transforms inverted numerically. By this way the use of an association of variables technique is avoided to save CPU time. The NILTs based on FFT/IFFT and q-d algorithms are modified for this purpose.

English abstract

The techniques of numerical inverse Laplace transforms (NILTs) are applied to get the time-domain responses of some classes of nonlinear systems. It is enabled by expanding the system response into a Volterra series formulated in multidimensional Laplace domains. For a given system the Volterra kernel transforms are found, and the response Laplace transforms inverted numerically. By this way the use of an association of variables technique is avoided to save CPU time. The NILTs based on FFT/IFFT and q-d algorithms are modified for this purpose.

Keywords

Nonlinear system, Volterra series, association of variables, inverse Laplace transforms

RIV year

2010

Released

11.01.2010

Publisher

WYDAWNICTWO SIGMA - N O T

Location

UL RATUSZOWA 11,, 00-950 WARSAW, POLAND

Pages from

68

Pages to

70

Pages count

3

BibTex


@article{BUT48738,
  author="Lubomír {Brančík}",
  title="Utilization of NILTs in Simulation of Nonlinear Systems Described by Volterra Series",
  annote="The techniques of numerical inverse Laplace transforms (NILTs) are applied to get the time-domain responses of some classes of nonlinear systems. It is enabled by expanding the system response into a Volterra series formulated in multidimensional Laplace domains. For a given system the Volterra kernel transforms are found, and the response Laplace transforms inverted numerically. By this way the use of an association of variables technique is avoided to save CPU time. The NILTs based on FFT/IFFT and q-d algorithms are modified for this purpose.",
  address="WYDAWNICTWO SIGMA - N O T",
  chapter="48738",
  institution="WYDAWNICTWO SIGMA - N O T",
  journal="Przeglad Elektrotechniczny",
  number="1",
  volume="86",
  year="2010",
  month="january",
  pages="68--70",
  publisher="WYDAWNICTWO SIGMA - N O T",
  type="journal article in Web of Science"
}