Citation
Aaron Ames, Haiyang Zheng, Robert Gregg, Shankar Sastry. "Is there Life after Zeno? Taking Executions Past the Breaking (Zeno) Point". American Control Conference, June, 2006.

Abstract
Understanding Zeno phenomena plays an important role in understanding hybrid systems. A natural---and intriguing---question to ask is: what happens after a Zeno point? Inspired by the construction of Filippov, we propose a method for extending Zeno executions past a Zeno point for a class of hybrid systems: Lagrangian hybrid systems. We argue that after the Zeno point is reached, the hybrid system should switch to a holonomically constrained dynamical system, where the holonomic constraints are based on the unilateral constraints on the configuration space that originally defined the hybrid system. These principles are substantiated with a series of examples.

Electronic downloads

• Life%20after%20Zeno.pdf · application/pdf · 355 kbytes

• HTML

  Aaron Ames, Haiyang Zheng, Robert Gregg, Shankar Sastry.
  <a
  href="http://chess.eecs.berkeley.edu/pubs/130.html"
  >Is there Life after Zeno?  Taking Executions Past the
  Breaking (Zeno) Point</a>, American Control
  Conference, June, 2006.

• Plain text

  Aaron Ames, Haiyang Zheng, Robert Gregg, Shankar Sastry.
  "Is there Life after Zeno?  Taking Executions Past the
  Breaking (Zeno) Point". American Control Conference,
  June, 2006.

• BibTeX

  @inproceedings{AmesZhengGreggSastry06_IsThereLifeAfterZenoTakingExecutionsPastBreakingZeno,
      author = {Aaron Ames and Haiyang Zheng and Robert Gregg and
                Shankar Sastry},
      title = {Is there Life after Zeno?  Taking Executions Past
                the Breaking (Zeno) Point},
      booktitle = {American Control Conference},
      month = {June},
      year = {2006},
      abstract = {Understanding Zeno phenomena plays an important
                role in understanding hybrid systems. A
                natural---and intriguing---question to ask is:
                what happens after a Zeno point? Inspired by the
                construction of Filippov, we propose a method for
                extending Zeno executions past a Zeno point for a
                class of hybrid systems: Lagrangian hybrid
                systems. We argue that after the Zeno point is
                reached, the hybrid system should switch to a
                holonomically constrained dynamical system, where
                the holonomic constraints are based on the
                unilateral constraints on the configuration space
                that originally defined the hybrid system. These
                principles are substantiated with a series of
                examples.},
      URL = {http://chess.eecs.berkeley.edu/pubs/130.html}
  }
  

Posted by Aaron Ames on 15 May 2006.
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