Citation
Aaron Ames, Shankar Sastry. "Affine Hybrid Systems". in Hybrid Systems: Computation and Control, LNCS Vol. 2993, 16-31, 2004.

Abstract
Affine hybrid systems are hybrid systems in which the discrete domains are affine sets and the transition maps between discrete domains are affine transformations. The simple structure of these systems results in interesting geometric properties; one of these is the notion of spatial equivalence. In this paper, a formal framework for describing affine hybrid systems is introduced. As an application, it is proven that every compact hybrid system H is spatially equivalent to a hybrid system Hid in which all the transition maps are the identity. An explicit and computable construction for Hid is given.

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• http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.138.3732

• HTML

  Aaron Ames, Shankar Sastry. <a
  href="http://chess.eecs.berkeley.edu/pubs/754.html"
  >Affine Hybrid Systems</a>, in Hybrid Systems:
  Computation and Control, LNCS Vol. 2993, 16-31, 2004.

• Plain text

  Aaron Ames, Shankar Sastry. "Affine Hybrid
  Systems". in Hybrid Systems: Computation and Control,
  LNCS Vol. 2993, 16-31, 2004.

• BibTeX

  @inproceedings{AmesSastry04_AffineHybridSystems,
      author = {Aaron Ames and Shankar Sastry},
      title = {Affine Hybrid Systems},
      booktitle = {in Hybrid Systems: Computation and Control, LNCS
                Vol. 2993},
      pages = {16-31},
      year = {2004},
      abstract = {Affine hybrid systems are hybrid systems in which
                the discrete domains are affine sets and the
                transition maps between discrete domains are
                affine transformations. The simple structure of
                these systems results in interesting geometric
                properties; one of these is the notion of spatial
                equivalence. In this paper, a formal framework for
                describing affine hybrid systems is introduced. As
                an application, it is proven that every compact
                hybrid system H is spatially equivalent to a
                hybrid system Hid in which all the transition maps
                are the identity. An explicit and computable
                construction for Hid is given.},
      URL = {http://chess.eecs.berkeley.edu/pubs/754.html}
  }
  

Posted by Christopher Brooks on 4 Nov 2010.
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