Structural stability of hybrid systems1
2001 (English)In: 2001 European Control Conference, ECC 2001, IEEE conference proceedings, 2001, 3858-3863 p.Conference paper (Refereed)Text
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.
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
IdentifiersURN: urn:nbn:se:kth:diva-181624ScopusID: 2-s2.0-84947475002ISBN: 9783952417362OAI: oai:DiVA.org:kth-181624DiVA: diva2:912871
6th European Control Conference, ECC 2001, 4 September 2001 through 7 September 2001
QC 201603162016-03-182016-02-022016-03-18Bibliographically approved