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

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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:	Publisher

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