Zeno hybrid systems
نویسندگان
چکیده
منابع مشابه
Zeno hybrid systems
The interacting continuous and discrete dynamics in hybrid systems may lead to Zeno executions, which are solutions of the system having in"nitely many discrete transitions in "nite time. Although physical systems do not show Zeno behaviour, models of real systems may be Zeno due to modelling abstraction. It is hard to analyse such models with the existing theory. Since abstraction is an import...
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In this paper, we investigate conditions for existence of Zeno behaviors in hybrid systems. These are behaviors that occur in a hybrid system when the system undergoes an unbounded number of discrete transitions in a finite and bounded length of time. Zeno behavior occurs, for example, when a controller unsuccessfully attempts to satisfy an invariance specification by switching the system among...
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Results from classical dynamical systems are generalized to hybrid dynamical systems. The concept of ! limit set is introduced for hybrid systems and is used to prove new results on invariant sets and stability, where Zeno and non-Zeno hybrid systems can be treated within the same framework. As an example, LaSalle's Invariance Principle is extended to hybrid systems. Zeno hybrid systems are dis...
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Zeno hybrid automata are hybrid systems that can exhibit in nitely many discrete transitions in a nite time interval. Such automata arise due to modeling simplications and may deteriorate simulation e ciency and accuracy considerably. Some basic properties of Zeno hybrid automata are explored. Possible ways to extend a simulation beyond the Zeno time are suggested.
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ژورنال
عنوان ژورنال: International Journal of Robust and Nonlinear Control
سال: 2001
ISSN: 1049-8923,1099-1239
DOI: 10.1002/rnc.592