Citation
Aaron Ames, Shankar Sastry. "Blowing Up Affine Hybrid Systems". In Decision and Control, 2004. CDC. 43rd IEEE Conference on, 473-478, December, 2004.

Abstract
In this paper we construct the "blow up" of an affine hybrid system H, i.e., a new affine hybrid system Bl(H) in which H is embedded, that does not exhibit Zeno behavior. We show the existence of a bijection T between periodic orbits and equilibrium points of H and Bl(H) that preserves stability; we refer to this property as P-stability equivalence.

Electronic downloads

• http://dx.doi.org/10.1109/CDC.2004.1428675

• HTML

  Aaron Ames, Shankar Sastry. <a
  href="http://chess.eecs.berkeley.edu/pubs/755.html"
  >Blowing Up Affine Hybrid Systems</a>, In Decision
  and Control, 2004. CDC. 43rd IEEE Conference on, 473-478,
  December, 2004.

• Plain text

  Aaron Ames, Shankar Sastry. "Blowing Up Affine Hybrid
  Systems". In Decision and Control, 2004. CDC. 43rd IEEE
  Conference on, 473-478, December, 2004.

• BibTeX

  @inproceedings{AmesSastry04_BlowingUpAffineHybridSystems,
      author = {Aaron Ames and Shankar Sastry},
      title = {Blowing Up Affine Hybrid Systems},
      booktitle = {In Decision and Control, 2004. CDC. 43rd IEEE
                Conference on},
      pages = {473-478},
      month = {December},
      year = {2004},
      abstract = {In this paper we construct the "blow up" of an
                affine hybrid system H, i.e., a new affine hybrid
                system Bl(H) in which H is embedded, that does not
                exhibit Zeno behavior. We show the existence of a
                bijection T between periodic orbits and
                equilibrium points of H and Bl(H) that preserves
                stability; we refer to this property as
                P-stability equivalence.},
      URL = {http://chess.eecs.berkeley.edu/pubs/755.html}
  }
  

Posted by Christopher Brooks on 4 Nov 2010.
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