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Algebraic Tools for the Performance Evaluation of Discrete Event Systems.

Cohen, G.; Moller, P.; Quadrat, J.P.; Viot, M.

In: Proceedings of the IEEE, Vol. 77, No. 1, pages 39-58. 1989.

Abstract: It is shown that a certain class of Petri nets called event graphs can be represented as linear time-invariant finite-dimensional systems using some particular algebras. This sets the ground on which a theory of these systems can be developed in a manner which is very analogous to that of conventional linear system theory. Several ways in which one can consider event graphs as linear systems are described.

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