DocumentCode
992665
Title
A graphical approach of the spectral theory in the (max,+) algebra
Author
Mairesse, Jean
Author_Institution
Inst. Nat. de Recherche en Inf. et Autom., Sophia Antipolis, France
Volume
40
Issue
10
fYear
1995
fDate
10/1/1995 12:00:00 AM
Firstpage
1783
Lastpage
1789
Abstract
In this paper, the author studies matrices in the (max,+) algebra. The author introduces a new tool for describing the deterministic spectral behavior of matrices of size 3×3. It consists of a graphical representation of eigenvectors and domains of attraction in the projective space
Keywords
eigenvalues and eigenfunctions; graph theory; matrix algebra; (max,+) algebra; deterministic spectral behavior; eigenvectors; graphical approach; projective space; spectral theory; Algebra; Birds; Digestive system; Eigenvalues and eigenfunctions; Embryo; Environmental factors; History; Manufacturing; Optimal control; Switches;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.467674
Filename
467674
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