Abstract
This work focuses on the problem of providing a linear algebraic characterization of the admissible marking set relative to a Petri net with uncontrollable transitions, subject to a linear constraint. More specifically, given a linear constraint that limits the number of tokens in one place, an algorithm is proposed to provide an approximation of the admissible marking set in terms of a disjunction of transformed linear constraints. The optimality of the solution is guaranteed provided that certain conditions are satisfied during the intermediate steps of the iterative approach.
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