학술논문

Event-Variant and Time-Variant (max,+) Systems
Document Type
Periodical
Source
IEEE Transactions on Automatic Control IEEE Trans. Automat. Contr. Automatic Control, IEEE Transactions on. 69(2):1045-1051 Feb, 2024
Subject
Signal Processing and Analysis
Synchronization
Clocks
Delays
Computational modeling
Matrix decomposition
Context modeling
Algebra
Dioids
discrete event systems (DESs)
operators
Petri nets
time-variant systems
weighted timed event graphs (WTEGs)
Language
ISSN
0018-9286
1558-2523
2334-3303
Abstract
This article deals with the input–output representation of a class of timed discrete event systems. The systems considered are those that can be described using timed event graphs extended with weights on the arcs and clock rate modifiers or time-varying delays. The model relies on periodic expressions using six elementary operators: Shift, multiplication, and division of events and time. In this context, we show how to develop the transfer matrix computation based on a matrix decomposition called core decomposition.