Citation
A. Ames, P. Tabuada, S. Sastry. "On the Stability of Zeno Equilibria". 34-48, Lecture Notes in Com, 3927, Springer-Verlag, 2006.

Abstract
Zeno behaviors are one of the (perhaps unintended) features of many hybrid models of physical systems. They have no counterpart in traditional dynamical systems or automata theory and yet they have remained relatively unexplored over the years. In this paper we address the stability properties of a class of Zeno equilibria, and we introduce a necessary paradigm shift in the study of hybrid stability. Motivated by the peculiarities of Zeno equilibria, we consider a form of asymptotic stability that is global in the continuous state, but local in the discrete state. We provide sufficient conditions for stability of these equilibria, resulting in sufficient conditions for the existence of Zeno behavior.

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  A. Ames, P. Tabuada, S. Sastry. <a
  href="http://chess.eecs.berkeley.edu/pubs/121.html"
  ><i>On the Stability of Zeno
  Equilibria</i></a>, 34-48, Lecture Notes in Com,
  3927, Springer-Verlag, 2006.

• Plain text

  A. Ames, P. Tabuada, S. Sastry. "On the Stability of
  Zeno Equilibria". 34-48, Lecture Notes in Com, 3927,
  Springer-Verlag, 2006.

• BibTeX

  @inbook{AmesTabuadaSastry06_OnStabilityOfZenoEquilibria,
      author = {A. Ames and P. Tabuada and S. Sastry},
      title = {On the Stability of Zeno Equilibria},
      pages = {34-48},
      edition = {Lecture Notes in Com},
      volume = {3927},
      publisher = {Springer-Verlag},
      year = {2006},
      abstract = {Zeno behaviors are one of the (perhaps unintended)
                features of many hybrid models of physical
                systems. They have no counterpart in traditional
                dynamical systems or automata theory and yet they
                have remained relatively unexplored over the
                years. In this paper we address the stability
                properties of a class of Zeno equilibria, and we
                introduce a necessary paradigm shift in the study
                of hybrid stability. Motivated by the
                peculiarities of Zeno equilibria, we consider a
                form of asymptotic stability that is global in the
                continuous state, but local in the discrete state.
                We provide sufficient conditions for stability of
                these equilibria, resulting in sufficient
                conditions for the existence of Zeno behavior.},
      URL = {http://chess.eecs.berkeley.edu/pubs/121.html}
  }
  

Posted by Aaron Ames on 15 May 2006.
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