DocumentCode
1628636
Title
Sign incidence matrix and generation of basis siphons and traps of Petri nets
Author
Boer, Erwin R. ; Murata, Tadao
Author_Institution
Illinois Univ., Chicago, IL, USA
fYear
1992
Firstpage
632
Abstract
The authors introduce a new matrix called the sign incidence matrix for Petri nets. Using this sign incidence matrix, they present a simple algorithm for generating all basis siphons and traps without first generating all siphons or traps. Any siphon (trap) can be expressed as a union of basis siphons (basis traps). The concept of siphons and traps plays an important role in the analysis of Petri nets. In particular, criteria for liveness and reachability of some subclasses of Petri nets can be stated in terms of siphons and traps
Keywords
Petri nets; matrix algebra; Petri nets; basis siphon generation; basis trap generation; liveness criteria; reachability criteria; sign incidence matrix; Charge carrier processes; Electron traps; Equations; Linear algebra; Linear matrix inequalities; Logic functions; Logic programming; Petri nets; Sufficient conditions; System recovery;
fLanguage
English
Publisher
ieee
Conference_Titel
Systems, Man and Cybernetics, 1992., IEEE International Conference on
Conference_Location
Chicago, IL
Print_ISBN
0-7803-0720-8
Type
conf
DOI
10.1109/ICSMC.1992.271701
Filename
271701
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