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
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