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Is there Life after Zeno? Taking Executions Past the Breaking (Zeno) Point
Aaron Ames, Haiyang Zheng, Robert Gregg, Shankar Sastry

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.

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Citation formats  
  • 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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