DocumentCode
2261898
Title
On steady-state properties of certain max-plus products
Author
Shue, L. ; Anderson, B.D.O. ; Dey, S.
Author_Institution
Dept. of Syst. Eng., Australian Nat. Univ., Canberra, ACT, Australia
Volume
3
fYear
1998
fDate
21-26 Jun 1998
Firstpage
1909
Abstract
The asymptotic properties of inhomogeneous products in the max-plus algebra context have been investigated. In particular, for products involving matrices with the same unique critical circuit, we have obtained some sufficiency conditions under which the rank of the final product matrix is less than or equal to the length of the critical circuit of the matrices in the product. For a product comprising matrices with the same unique critical circuit of length 1, the asymptotic rank is 1
Keywords
directed graphs; discrete event systems; matrix algebra; asymptotic properties; asymptotic rank; inhomogeneous products; max-plus algebra; max-plus products; steady-state properties; sufficiency conditions; unique critical circuit; Adaptive systems; Algebra; Artificial intelligence; Circuits; Discrete event systems; Equations; Fluctuations; Robustness; Steady-state; Systems engineering and theory;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 1998. Proceedings of the 1998
Conference_Location
Philadelphia, PA
ISSN
0743-1619
Print_ISBN
0-7803-4530-4
Type
conf
DOI
10.1109/ACC.1998.707354
Filename
707354
Link To Document