Zeno hybrid systems (Q2716782)
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scientific article; zbMATH DE number 1599406
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Zeno hybrid systems |
scientific article; zbMATH DE number 1599406 |
Statements
Zeno hybrid systems (English)
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3 January 2002
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hybrid systems
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Zeno executions
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Zeno systems
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\(\omega\) limit set
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Zeno set
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modelling
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simulation
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verification
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0.81399405
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0.78761536
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Due to modelling abstractions hybrid systems may have Zeno executions, i.e., solutions which have infinitely many discrete transitions in finite time. Zeno systems and systems ``close'' to Zeno make computer simulatons imprecise and time-consuming. Necessary and sufficient conditions for the existence of Zeno executions are given. Further, properties of the \(\omega\) limit set of a Zeno execution, the Zeno set are studied for a fairly large class of hybrid systems. The investigations are motivated and illustrated by examples of Zeno hybrid systems from the areas of modelling, simulation, verification, and control.
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