Title
Signal flow graphs over max-plus algebra and applications
Abstract
This work investigates properties of signal flow graphs (SFGs) over max-plus algebra, which are referred to as synchronous SFGs. New topological methods for evaluating gains of synchronous matrix SFGs are described. These methods are based on the existing theory for matrix SFGs over regular algebra. SFGs are useful in studying complex engineering systems by representing them as interconnection of relatively simple subsystems. In particular, synchronous SFGs can be used to graphically model the timing behavior of deterministic discrete event systems. The paper illustrates an application of synchronous SFGs to modeling and performance evaluation of deterministic manufacturing systems.
Year
DOI
Venue
2010
10.1109/ACC.2010.5531360
American Control Conference
Keywords
DocType
ISSN
matrix algebra,signal flow graphs,max-plus algebra,signal flow graph,synchronous matrix sfg,topological method,modeling,graphical model,mathematical model
Conference
0743-1619
ISBN
Citations 
PageRank 
978-1-4244-7426-4
1
0.41
References 
Authors
1
2
Name
Order
Citations
PageRank
Imaev, A.110.41
Judd, R.P.210.41