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

Ozkan Karabacak; Neslihan Serap Sengor

doi:10.1080/00207720902974504

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

Ozkan Karabacak^*, Neslihan Serap Sengor

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › Research › peer-review

23 Citations (Scopus)

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.

Original language	English
Journal	International Journal of Systems Science
Volume	40
Issue number	8
Pages (from-to)	845-853
Number of pages	9
ISSN	0020-7721
DOIs	https://doi.org/10.1080/00207720902974504
Publication status	Published - 1 Aug 2009
Externally published	Yes

Keywords

Dwell time
Eigenvector sets
Stability
Switched systems

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10.1080/00207720902974504

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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.",

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N2 - 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.

AB - 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.

KW - Dwell time

KW - Eigenvector sets

KW - Stability

KW - Switched systems

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

Abstract

Keywords

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