Enclosing the behavior of a hybrid system up to and beyond a Zeno point

Michal Konečný, Walid Taha, Jan Duracz, Adam Duracz, Aaron Ames

Research output: Chapter in Book/Report/Conference proceedingConference publication

Abstract

Even simple hybrid systems like the classic bouncing ball can exhibit Zeno behaviors. The existence of this type of behavior has so far forced simulators to either ignore some events or risk looping indefinitely. This in turn forces modelers to either insert ad hoc restrictions to circumvent Zeno behavior or to abandon hybrid modeling. To address this problem, we take a fresh look at event detection and localization. A key insight that emerges from this investigation is that an enclosure for a given time interval can be valid independently of the occurrence of a given event. Such an event can then even occur an unbounded number of times, thus making it possible to handle certain types of Zeno behavior.
Original languageEnglish
Title of host publication2013 IEEE 1st international conference on cyber-physical systems, networks, and applications (CPSNA)
PublisherIEEE
Pages120-125
Number of pages6
ISBN (Electronic)978-1-4799-0798-4
DOIs
Publication statusPublished - 2013
Event1st international conference on Cyber-Physical Systems, Networks, and Applications - Taipei, Taiwan, Province of China
Duration: 19 Aug 201320 Aug 2013

Conference

Conference1st international conference on Cyber-Physical Systems, Networks, and Applications
Abbreviated titleCPSNA 2013
CountryTaiwan, Province of China
CityTaipei
Period19/08/1320/08/13

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    Konečný, M., Taha, W., Duracz, J., Duracz, A., & Ames, A. (2013). Enclosing the behavior of a hybrid system up to and beyond a Zeno point. In 2013 IEEE 1st international conference on cyber-physical systems, networks, and applications (CPSNA) (pp. 120-125). IEEE. https://doi.org/10.1109/CPSNA.2013.6614258