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Optimal controllability of 3-composed siphons in a class of Petri nets

Optimal controllability of 3-composed siphons in a class of Petri nets

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A controllability condition of a siphon composed of three elementary ones in a class of Petri nets, namely S3PR, is developed. Under the condition, a maximally permissive liveness-enforcing supervisor expressed by a set of monitors (control places) can be decided by an algorithm with polynomial complexity for an S3PR if every dependent siphon is m-composed with m ≤ 3.

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