Open AccessDynamical Systems Revisited: Hybrid Systems with Zeno Executions
Author(s) -
Jun Zhang,
Karl Henrik Johansson,
John Lygeros,
Shankar Sastry
Publication year - 2000
Publication title -
lecture notes in computer science
Language(s) - English
Resource type - Book series
SCImago Journal Rank - 0.249
H-Index - 400
eISSN - 1611-3349
pISSN - 0302-9743
DOI - 10.1007/3-540-46430-1_37
Subject(s) - zeno's paradoxes , computer science , dynamical systems theory , mathematics , physics , quantum mechanics , geometry
Results from classical dynamical systems are generalized to hybrid dynamical systems. The concept of omega 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 discussed in detail. The omega limit set of a Zeno execution is characterized for classes of hybrid systems.QC 2012022
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