Přístupnostní navigace
E-application
Search Search Close
Publication detail
BRANČÍK, L.
Original Title
Solution of Weakly Nonlinear Systems via Volterra Series Expansion and Numerical ILTs
Type
conference paper
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 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.
Authors
RIV year
2009
Released
2. 9. 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", 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" }