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  Extremal norms for positive linear inclusions

Rami, M., Bokharaie, V., Mason, O., & Wirth, F. (2012). Extremal norms for positive linear inclusions. In 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012) (pp. 1-8).

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Item Permalink: http://hdl.handle.net/21.11116/0000-0001-8EA0-A Version Permalink: http://hdl.handle.net/21.11116/0000-0001-8EA1-9
Genre: Conference Paper

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 Creators:
Rami, MA, Author
Bokharaie, VS1, Author              
Mason, O, Author
Wirth, FR, Author
Affiliations:
1Hamilton Institute, National University of Ireland, Maynooth, Ireland, ou_persistent22              

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 Abstract: We consider the joint spectral radius of sets of matrices for discrete or continuous positive linear inclusions and study associated extremal norms. We show that under a matrix-theoretic notion of irreducibility there exist absolute extremal norms. This property is used to extend regularity results for the joint spectral radius. In particular, we see that in the case of positive systems irreducibility in the sense of nonnegative matrices, which is weaker than the usual representation theoretic concept, is sufficient for local Lipschitz properties of the joint spectral radius.

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 Dates: 2012-07
 Publication Status: Published in print
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Title: 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012)
Place of Event: Melbourne, Australia
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Title: 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012)
Source Genre: Proceedings
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Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 1 - 8 Identifier: -