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
Link To Document :
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