A dwell time approach to the stability of switched linear systems based on the distance between eigenvector sets

Authors:
Ozkan Karabacak;Neslihan Serap Sengor
Affiliations:
Faculty of Electrical and Electronic Eng., Electronics Eng. Dept., Istanbul Technical Univ., Maslak, TR-34469, Istanbul, Turkey Mathematics Research Institute, Sch. of Eng., Comp. Sci. and Math., ...;Faculty of Electrical and Electronic Engineering, Electronics Engineering Department, Istanbul Technical University, Maslak, TR-34469, Istanbul, Turkey
Venue:
International Journal of Systems Science
Year:
2009

Citing 7
Cited 0

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Abstract

In this article, a sufficient condition on the minimum dwell time that guarantees the stability of switched linear systems is given. The proposed method interprets the stability of switched linear systems through the distance between the eigenvector sets of subsystem matrices. Thus, an explicit relation in view of stability is obtained between the family of the involved subsytems and the set of admissible switching signals.