Algorithms for the Set of Generators of an Arbitrary Firing Count Vector in Petri Nets

Maki Takata; Tadashi Matsumoto; Seiichiro Moro

doi:10.11499/sicep.2002.0.180.0

SICE Annual Conference 2002

DOI https://doi.org/10.11499/sicep.2002.0.180.0

会議情報

主催: The Society of Instrument and Control Engineers

共催: IEEE/Industiral Electronic Society, IEEE/Robotics and Automation Society, IEEE/Control System Society

Algorithms for the Set of Generators of an Arbitrary Firing Count Vector in Petri Nets

Maki Takata, Tadashi Matsumoto, Seiichiro Moro

著者情報

キーワード: Petri nets, matrix equations, generators, minimal support vectors, minimal vectors

会議録・要旨集フリー

p. 180

詳細

抄録

In this paper, an effective method to obtain all nonnegative integer minimal support vectors (U₄, V₄) at level 4 for an arbitrary homogeneous / inhomogeneous solution starting from nonnegative rational number minimal support vectors (U₃, V₃) at level 3 is proposed. Although V₄ has been derived from all minimal vectors (U₅, V₅) of level 5 which are obtained starting from vectors at level 1, 2, or 3, so far. This proposed method for (U₄, V₄) gives us a big shortcut comparing with them. However, it is pointed out that obtaining (U₅, V₅) of level 5 from (U₄, V₄) of level 4 is not so wise.

責任著者(Corresponding author)

J-STAGEへの登録はこちら（無料）