Publication detail

Solution of Weakly Nonlinear Systems via Volterra Series Expansion and Numerical ILTs

BRANČÍK, L.

Original Title

Solution of Weakly Nonlinear Systems via Volterra Series Expansion and Numerical ILTs

English Title

Solution of Weakly Nonlinear Systems via Volterra Series Expansion and Numerical ILTs

Type

conference paper

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 a Volterra series in connection with a multidimensional Laplace transform. For a given system the Volterra kernels transforms are found, and response Laplace transforms inverted numerically. This procedure avoids a necessity of the application of an association of variables technique. In the paper the method is demonstrated on the example of a simple second-order system while utilizing one and two-dimensional NILTs.

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 a Volterra series in connection with a multidimensional Laplace transform. For a given system the Volterra kernels transforms are found, and response Laplace transforms inverted numerically. This procedure avoids a necessity of the application of an association of variables technique. In the paper the method is demonstrated on the example of a simple second-order system while utilizing one and two-dimensional NILTs.

Keywords

Nonlinear system, Volterra series, Volterra kernel, Laplace transforms.

RIV year

2009

Released

02.09.2009

Publisher

VUT v Brně

Location

Brno

ISBN

978-80-214-3933-7

Book

Electronic Devices and Systems EDS09 IMAPS CS International Conference 2009

Edition number

1.

Pages from

16

Pages to

21

Pages count

6

BibTex


@inproceedings{BUT31576,
  author="Lubomír {Brančík}",
  title="Solution of Weakly Nonlinear Systems via Volterra Series Expansion and Numerical ILTs",
  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 a Volterra series in connection with a multidimensional Laplace transform. For a given system the Volterra kernels transforms are found, and response Laplace transforms inverted numerically. This procedure avoids a necessity of the application of an association of variables technique. In the paper the method is demonstrated on the example of a simple second-order system while utilizing one and two-dimensional NILTs.",
  address="VUT v Brně",
  booktitle="Electronic Devices and Systems EDS09 IMAPS CS International Conference 2009",
  chapter="31576",
  howpublished="print",
  institution="VUT v Brně",
  year="2009",
  month="september",
  pages="16--21",
  publisher="VUT v Brně",
  type="conference paper"
}