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On the stability of switched positive linear systems

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Abstract:
It was recently conjectured that the Hurwitz stability of a polytope of Metzler matrices was necessary and sufficient for the stability of the associated switched linear system for arbitrary switching sequences. In this talk we show: (i) that this conjecture is true for a compact sets of second order Metzler matrices; and (ii) that the conjecture is in general false for higher order systems. Time permit, I will present more results on stability of switched linear systems in both discrete and continuous time. Joint work with R.Shorten and O.Mason (Hamilton Institute, Ireland).

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Type of Seminar:
Public Seminar
Speaker:
Dr. Leonid Gurvits
Los Alamos National Laboratory, USA
Date/Time:
Jul 22, 2004   15:00
Location:

ETH-Zentrum, ETL K25, Physikstrasse 3, Zürich
Contact Person:

Prof. P. Parrilo
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Biographical Sketch:
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