License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/OASIcs.FSFMA.2013.53
URN: urn:nbn:de:0030-drops-40885
URL: https://drops.dagstuhl.de/opus/volltexte/2013/4088/
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Fribourg, Laurent ; K├╝hne, Ulrich ; Soulat, Romain

Constructing Attractors of Nonlinear Dynamical Systems

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Abstract

In a previous work, we have shown how to generate attractor sets of affine hybrid systems using a method of state space decomposition. We show here how to adapt the method to polynomial dynamics systems by approximating them as switched affine systems. We show the practical interest of the method on standard examples of the literature.

BibTeX - Entry

@InProceedings{fribourg_et_al:OASIcs:2013:4088,
  author =	{Laurent Fribourg and Ulrich K{\"u}hne and Romain Soulat},
  title =	{{Constructing Attractors of Nonlinear Dynamical Systems}},
  booktitle =	{1st French Singaporean Workshop on Formal Methods and Applications (FSFMA 2013)},
  pages =	{53--60},
  series =	{OpenAccess Series in Informatics (OASIcs)},
  ISBN =	{978-3-939897-56-9},
  ISSN =	{2190-6807},
  year =	{2013},
  volume =	{31},
  editor =	{Christine Choppy and Jun Sun},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2013/4088},
  URN =		{urn:nbn:de:0030-drops-40885},
  doi =		{10.4230/OASIcs.FSFMA.2013.53},
  annote =	{Keywords: Control theory, Hybrid Systems, Nonlinear dynamical systems}
}

Keywords: Control theory, Hybrid Systems, Nonlinear dynamical systems
Collection: 1st French Singaporean Workshop on Formal Methods and Applications (FSFMA 2013)
Issue Date: 2013
Date of publication: 14.07.2013


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