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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...
In this paper we study suitability of using assignment based programming language for supervisory control of discrete event systems. We first show that the supervisory control problem in its general setting is undecidable. Next we show that the supervisory control problem for discrete event systems modeled by assignment based programs is decidable and develop techniques which reduce the supervisory...
Ramadge and Wonham have established a control theory of DES modeled by state machines. Previous work by Ramadge extended the concept of controllable languages to infinite languages and presented conditions for the existence of a supervisor for systems modeled by Buchi automata. This paper derives requirements for the existence of a supervisor under less restrictive conditions on the constraint language...
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