Constructing Attractors of Nonlinear Dynamical Systems by State Space Decomposition

Laurent Fribourg, Ulrich Kühne, Romain Soulat

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

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.

Original languageEnglish
Title of host publication1st French Singaporean Workshop on Formal Methods and Applications, FSFMA 2013
EditorsChristine Choppy, Jun Sun
PublisherSchloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing
Pages53-60
Number of pages8
ISBN (Electronic)9783939897569
ISBN (Print)9783939897569
DOIs
Publication statusPublished - 1 Jan 2013
Externally publishedYes
Event1st French Singaporean Workshop on Formal Methods and Applications, FSFMA 2013 - Singapore, Singapore
Duration: 15 Jul 201316 Jul 2013

Publication series

NameOpenAccess Series in Informatics
Volume31
ISSN (Print)2190-6807

Conference

Conference1st French Singaporean Workshop on Formal Methods and Applications, FSFMA 2013
Country/TerritorySingapore
CitySingapore
Period15/07/1316/07/13

Keywords

  • Control theory
  • Hybrid Systems
  • Nonlinear dynamical systems

Fingerprint

Dive into the research topics of 'Constructing Attractors of Nonlinear Dynamical Systems by State Space Decomposition'. Together they form a unique fingerprint.

Cite this