Optimal controllability of 3‐composed siphons in a class of Petri nets
Author(s) -
Hou Y.F.,
Li Z.W.,
Hong L.,
AlAhmari A.M.
Publication year - 2013
Publication title -
electronics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 146
ISSN - 1350-911X
DOI - 10.1049/el.2012.4512
Subject(s) - controllability , petri net , class (philosophy) , petri dish , stochastic petri net , computer science , control theory (sociology) , mathematics , topology (electrical circuits) , algorithm , artificial intelligence , biology , combinatorics , control (management) , genetics
A controllability condition of a siphon composed of three elementary ones in a class of Petri nets, namely S 3 PR, 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 S 3 PR if every dependent siphon is m ‐composed with m ≤ 3.
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