2013 IEEE 1st International Conference on Cyber-Physical Systems, Networks, and Applications (CPSNA) 2013
DOI: 10.1109/cpsna.2013.6614258
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Enclosing the behavior of a hybrid system up to and beyond a Zeno point

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 inter… Show more

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Cited by 13 publications
(11 citation statements)
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“…In 2012, work began on one of the most significant technical results of the effort to date: developing a method for the correct simulation of Zeno systems [12]. This included the implementation of the first rigorous, enclosure-based simulator for a subset of Acumen.…”
Section: Approach and Implementationmentioning
confidence: 99%
See 1 more Smart Citation
“…In 2012, work began on one of the most significant technical results of the effort to date: developing a method for the correct simulation of Zeno systems [12]. This included the implementation of the first rigorous, enclosure-based simulator for a subset of Acumen.…”
Section: Approach and Implementationmentioning
confidence: 99%
“…The implementation also supports an "enclosure" semantics, which is intended to produce rigorous over-approximations (guaranteed upper and lower bounds) for all simulations [12]. This is the semantics that we would like Acumen, ultimately, to provide.…”
Section: Emerging Designmentioning
confidence: 99%
“…Except for Zélus, none of the above semantic models are Zeno-free, which means that, as explained in the next sections, they do not reflect the fact that time diverges and rely on analysing the solver output to detect and advance past the Zeno points [13] (cf. Section 2).…”
Section: Introductionmentioning
confidence: 99%
“…As a result, severity calculations must be performed manually based on simulation results. This simple model sufficed to illustrate relevance of rigorous simulation tools [2] to this problem domain. However, the simplicity of the model also limited its practical utility.…”
Section: Introductionmentioning
confidence: 99%