Dynamical systems revisited: Hybrid systems with Zeno executions
2000 (English)In: Lecture Notes in Computer Science, ISSN 0302-9743, E-ISSN 1611-3349, Vol. 1790, 451-464 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
Springer Berlin/Heidelberg, 2000. Vol. 1790, 451-464 p.
Computer and Information Science
IdentifiersURN: urn:nbn:se:kth:diva-90425ISI: 000088438200037OAI: oai:DiVA.org:kth-90425DiVA: diva2:505381
QC 201202272012-02-272012-02-232012-08-22Bibliographically approved