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The lower and average spectral radii measure, respectively, the minimal and average growth rates of long products of matrices taken from a finite set. The logarithm of the average spectral radius is traditionally called the Lyapunov exponent. When one performs these products in the max-algebra, we obtain quantities that measure the performance of discrete event systems. We show that approximating the lower and average max-algebraic spectral radii is NP-hard
Published in:
Automatic Control, IEEE Transactions on
(Volume:45
,
Issue:
9
)
Date of Publication: Sep 2000
- Page(s):
- 1762 - 1765
- ISSN :
- 0018-9286
- INSPEC Accession Number:
- 6758328
- Digital Object Identifier :
- 10.1109/9.880644
- Product Type:
- Journals & Magazines
- Date of Current Version :
- 06 August 2002
- Issue Date :
- Sep 2000
- Sponsored by :
- IEEE Control Systems Society
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