Title :
A graphical approach of the spectral theory in the (max,+) algebra
Author_Institution :
Inst. Nat. de Recherche en Inf. et Autom., Sophia Antipolis, France
fDate :
10/1/1995 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on