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Structural stability of hybrid systems1
KTH, School of Electrical Engineering (EES), Automatic Control.ORCID iD: 0000-0001-9940-5929
2001 (English)In: 2001 European Control Conference, ECC 2001, IEEE conference proceedings, 2001, 3858-3863 p.Conference paper (Refereed)Text
Abstract [en]

We study hybrid systems from a global geometric perspective as piecewise smooth dynamical systems. Based on an earlier work, we define the notion of the hybrifold as a single piece-wise smooth state space reflecting the dynamics of the original system. Structural stability for hybrid systems is introduced and analyzed in this framework. In particular, it is shown that a Zeno state is locally structurally stable and that a standard equilibrium on the boundary of a domain implies structural instability.

Place, publisher, year, edition, pages
IEEE conference proceedings, 2001. 3858-3863 p.
Keyword [en]
Dynamical systems, Hybrid automata, Hybrifold, Stability, Zeno states, Convergence of numerical methods, Hybrid systems, Hybrid automatons, Original systems, Piece-wise, Piecewise smooth dynamical systems, Structural instability, Structural stabilities, System stability
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-181624ScopusID: 2-s2.0-84947475002ISBN: 9783952417362OAI: oai:DiVA.org:kth-181624DiVA: diva2:912871
Conference
6th European Control Conference, ECC 2001, 4 September 2001 through 7 September 2001
Note

QC 20160316

Available from: 2016-03-18 Created: 2016-02-02 Last updated: 2016-03-18Bibliographically approved

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Johansson, Karl Henrik
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