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
Link To Document :
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