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On the Stability of Positive Linear Switched Systems Under Arbitrary Switching Laws.

Authors :
Fainshil, Lior
Margaliot, Michael
Chigansky, Pavel
Source :
IEEE Transactions on Automatic Control. Apr2009, Vol. 54 Issue 4, p897-899. 3p. 1 Chart, 1 Graph.
Publication Year :
2009

Abstract

We consider n-dimensional positive linear switched systems. A necessary condition for stability under arbitrary switching is that every matrix in the convex hull of the matrices defining the subsystems is Hurwitz. Several researchers conjectured that for positive linear switched systems this condition is also sufficient. Recently, Gurvits, Shorten, and Mason showed that this conjecture is true for the case n = 2, but is not true in general. Their results imply that there exists some minimal integer np, such that the conjecture is true for all n < np, but is not true for n = np. We show that np = 3. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00189286
Volume :
54
Issue :
4
Database :
Academic Search Index
Journal :
IEEE Transactions on Automatic Control
Publication Type :
Periodical
Accession number :
39895420
Full Text :
https://doi.org/10.1109/TAC.2008.2010974