Gursoy, Buket and Mason, Oliver
(2011)
P1-max and S-max properties and asymptotic stability in the max algebra.
Linear Algebra and its Applications, 435 (5).
pp. 1008-1018.
ISSN 0024-3795
Abstract
In this work, we introduce the class of
P
1
max
-matrices for the max
algebraandderivesomepropertiesofthesethatechosimilarresults
for
P
-matricesintheconventionalalgebra.InanalogywithSongetal.
(1999) [1], we define the row-
P
1
max
-property and the
S
max
-property
of a finite set of nonnegative matrices. Moreover, we relate these
concepts to stability questions for sets of matrices and difference
inclusions in the max algebra
| Item Type: |
Article
|
| Keywords: |
P-matrix;
Max algebra;
Asymptotic stability;
Convex hull;
Generalised spectral radius;
Discrete inclusion; |
| Academic Unit: |
Faculty of Science and Engineering > Research Institutes > Hamilton Institute |
| Item ID: |
6063 |
| Identification Number: |
https://doi.org/10.1016/j.laa.2011.02.054 |
| Depositing User: |
Oliver Mason
|
| Date Deposited: |
22 Apr 2015 15:36 |
| Journal or Publication Title: |
Linear Algebra and its Applications |
| Publisher: |
Elsevier |
| Refereed: |
Yes |
| URI: |
|
| Use Licence: |
This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available
here |
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