Summary
International Symposium on Nonlinear Theory and its Applications
2008
Session Number:C4L-B
Session:
Number:C4L-B4
On Paticular Solutions for State Equation of Autonomous Continuous Petri Nets
Tadashi Matsumoto, Masahiro Osogami, Seiichro Moro,
pp.-
Publication Date:2008/9/7
Online ISSN:2188-5079
Summary:
Discrete Petri nets are basic models for concurrent systems and a firing count vector for transitions is one of key concepts to describe and evaluate algebraically their behavior, where Fourier-Motzkin method has been effectively used for the augmented system [A, -b ]x = 0 of state equation Ax = b. Continuous Petri nets were introducted in 1987 and their behaviour was extensively studied from two aspects; the fluidication at the net level and the relaxation at some equation level. However, particular solutions for state equation of continuous Petri nets have not been demonstrated in the above two. In this paper, particular solutions as well as elementary T-invariants are obtained from the augmented system of state equation in continuous Petri nets by Fourie-Motzkin method, where, for a specified firing count vector x Rn×1 , the expansion coe?fficients with respect to all elemntary T-invariants are also obtained by the same technique.