DROPS

Document

DOI: 10.4230/OASIcs.FSFMA.2013.53

Constructing Attractors of Nonlinear Dynamical Systems

Authors: Laurent Fribourg, Ulrich Kühne, and Romain Soulat

Published in: OASIcs, Volume 31, 1st French Singaporean Workshop on Formal Methods and Applications (FSFMA 2013)

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.

Cite as

Laurent Fribourg, Ulrich Kühne, and Romain Soulat. Constructing Attractors of Nonlinear Dynamical Systems. In 1st French Singaporean Workshop on Formal Methods and Applications (FSFMA 2013). Open Access Series in Informatics (OASIcs), Volume 31, pp. 53-60, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2013)

Copy BibTex To Clipboard

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

Search Results

Documents authored by Soulat, Romain

Constructing Attractors of Nonlinear Dynamical Systems

Abstract

Cite as

Thanks for your feedback!

Could not send message