Abstract
The class of Discrete Event Systems which can be modelled as timed event graphs may be described by linear equations in a non-traditional algebraic systems called a dioid or max-algebra. This paper extends the dioid algebra approach to a broader class of systems including both timed and untimed models, time-varying systems, and decision-making systems. We introduce an algebraic structure called a dioid vector space which allows any number of continuous functions to be included in the system description.
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