Detail publikace

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

BRANČÍK, L.

Originální název

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

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

angličtina

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 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.

Klíčová slova

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

Autoři

BRANČÍK, L.

Rok RIV

2009

Vydáno

2. 9. 2009

Nakladatel

VUT v Brně

Místo

Brno

ISBN

978-80-214-3933-7

Kniha

Electronic Devices and Systems EDS09 IMAPS CS International Conference 2009

Číslo edice

1.

Strany od

16

Strany do

21

Strany počet

6

BibTex

@inproceedings{BUT31576,
  author="Lubomír {Brančík}",
  title="Solution of Weakly Nonlinear Systems via Volterra Series Expansion and Numerical ILTs",
  booktitle="Electronic Devices and Systems EDS09 IMAPS CS International Conference 2009",
  year="2009",
  number="1.",
  pages="16--21",
  publisher="VUT v Brně",
  address="Brno",
  isbn="978-80-214-3933-7"
}