Event-Variant and Time-Variant (max,+) Systems

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.