Note: This content is accessible to all versions of every browser. However, this browser does not seem to support current Web standards, preventing the display of our site's design details.


On the stability of switched positive linear systems

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).

- -
Type of Seminar:
Public Seminar
Dr. Leonid Gurvits
Los Alamos National Laboratory, USA
Jul 22, 2004   15:00

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

Prof. P. Parrilo
No downloadable files available.
Biographical Sketch:
_ _