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Invariant sets of defocused switched systems
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
2013 (English)In: 2013 IEEE 52nd Annual Conference on Decision and Control (CDC), IEEE conference proceedings, 2013, 5987-5992 p.Conference paper (Refereed)
Abstract [en]

We consider affine switched systems as perturbations of linear ones, the equilibria playing the role of perturbation parameters. We study the stability properties of an affine switched system under arbitrary switching, assuming that the corresponding linear system is uniformly exponentially stable. It turns out that the affine system admits a minimal invariant set , whose properties we investigate. In the two dimensional bi-switched case when both subsystems have nonreal eigenvalues we are able to characterize completely and to prove that all trajectories of the system converge to . We also explore the behavior of minimal-time trajectories in by constructing optimal syntheses.

Place, publisher, year, edition, pages
IEEE conference proceedings, 2013. 5987-5992 p.
, IEEE Conference on Decision and Control. Proceedings, ISSN 0743-1546
Keyword [en]
Eigenvalues and eigenfunctions, Linear systems, Stability, Affine systems, Arbitrary switching, Exponentially stable, Minimal invariants, Optimal synthesis, Perturbation parameters, Stability properties, Switched system, Switching systems
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
URN: urn:nbn:se:kth:diva-150857DOI: 10.1109/CDC.2013.6760834ISI: 000352223506117ScopusID: 2-s2.0-84902357994ISBN: 978-1-4673-5714-2OAI: diva2:745890
52nd IEEE Conference on Decision and Control, CDC 2013, 10 December 2013 through 13 December 2013, Florence, Italy

QC 20140911

Available from: 2014-09-11 Created: 2014-09-11 Last updated: 2015-12-08Bibliographically approved

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