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

Authors: Karabacak, Ozkan¹; Sengor, Neslihan Serap²

Source: International Journal of Systems Science, Volume 40, Number 8, August 2009 , pp. 845-853(9)

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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.

Keywords: switched systems; dwell time; stability; eigenvector sets

Document Type: Research article

DOI: http://dx.doi.org/10.1080/00207720902974504

Affiliations: 1: Faculty of Electrical and Electronic Engineering, Electronics Engineering Department, Istanbul Technical University, Maslak, TR-34469, Istanbul, Turkey,Mathematics Research Institute, School of Engineering, Computer Science and Mathematics, Unive 2: Faculty of Electrical and Electronic Engineering, Electronics Engineering Department, Istanbul Technical University, Maslak, TR-34469, Istanbul, Turkey

Publication date: 2009-08-01

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