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
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;
Conference_Titel :
American Control Conference, 1998. Proceedings of the 1998
Conference_Location :
Philadelphia, PA
Print_ISBN :
0-7803-4530-4
DOI :
10.1109/ACC.1998.707354
