Event segment: Difference between revisions

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{{context|date=November 2011}}

A '''segment''' of a system variable shows a homogenous status of system dynamics over a time period. Here, a homogenous status of a variable is a state which can be described by onea coefficientset of acoefficients simpleof a formula. For example of homogenous statuses, we can bring status of constant ('ON' of a switch) and linear (60 miles or 96km per hour for speed). Mathematically, a segment is a function mapping from a set of times which can be defined by an real interval, to the set <math>Z</math> [[Event_Segment#References|[Zeigler76]]],[[Event_Segment#References|[ZPK00]]], [[Event_Segment#References|[Hwang13]]]. A '''trajectory''' of a system variable is a concatenation of segments. We call it a trajectory of constant-segments (respectively linear-segments) if its concatenating segments are constant (respectively linear).

An '''event segment''' is a special class of the constant segment with a constraint in which the constant segment is either one of a timed event or a null-segment. The event segments are used to define [[Timed Event System]]s such as [[DEVS]], [[timed automaton|timed automata]], and [[timed petri nets]].