A dwell time approach to the stability of switched linear systems based on the distance between eigenvector sets |
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| Authors: | Özkan Karabacak Neslihan Serap Şengör |
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| Affiliation: | 1. Faculty of Electrical and Electronic Engineering, Electronics Engineering Department , Istanbul Technical University , Maslak, TR-34469, Istanbul, Turkey;2. Mathematics Research Institute, School of Engineering, Computer Science and Mathematics, University of Exeter , Exeter EX4 4QF, UK karabacak@itu.edu.tr;4. Faculty of Electrical and Electronic Engineering, Electronics Engineering Department , Istanbul Technical University , Maslak, TR-34469, Istanbul, Turkey |
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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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| Keywords: | switched systems dwell time stability eigenvector sets |
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