• A dioid linear algebra approac...

Result: A dioid linear algebra approach to study a class of Continuous petri nets

Title:
A dioid linear algebra approach to study a class of Continuous petri nets
Authors:
DUAN ZHANG, HUAPING DAI, YOUXIAN SUN
Source:
NPC 2004 : network and parallel computing (Wuhan, 18-20 October 2004)Lecture notes in computer science. :333-340
Publisher Information:
Berlin: Springer, 2004.
Publication Year:
2004
Physical Description:
print, 12 ref
Original Material:
INIST-CNRS
Subject Terms:
Computer science, Informatique, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Combinatoire. Structures ordonnées, Combinatorics. Ordered structures, Combinatoire, Combinatorics, Théorie des graphes, Graph theory, Algèbre, Algebra, Algèbre linéaire et multilinéaire, matrices, Linear and multilinear algebra, matrix theory, Sciences appliquees, Applied sciences, Informatique; automatique theorique; systemes, Computer science; control theory; systems, Informatique théorique, Theoretical computing, Théorie programmation, Programming theory, Algèbre linéaire, Linear algebra, Algebra lineal, Contrôle optimal, Optimal control (mathematics), Control óptimo (matemáticas), Equation algébrique, Algebraic equation, Ecuación algebraica, Fonction monotone, Monotonic function, Función monótona, Multigraphe, Multigraph, Multígrafo, Réseau Pétri, Petri net, Red Petri, Algèbre min plus, Min plus algebra, Graphe événement, Event graph, Multigraphe événement temporisé
Document Type:
Conference Conference Paper
File Description:
text
Language:
English
Author Affiliations:
National Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou, 310027, China
ISSN:
0302-9743
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=16367609
Rights:
Copyright 2005 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Computer science; theoretical automation; systems

Mathematics
Accession Number:
edscal.16367609
Database:
PASCAL Archive

Further Information

Continuous Event Graphs (CEGs), a subclass of Continuous Petri Nets, are defined as the limiting cases of timed event graphs and Timed Event Multigraphs. A set of dioid algebraic linear equations will be inferred as a novel method of analyzing a special class of CEG, if treated the cumulated token consumed by transitions as state-variables, endowed the monotone nondecreasing functions pointwise minimum as addition, and endowed the lower-semicontinuous mappings, from the collection of monotone nondecreasing functions to itself, the pointwise minimum as addition and composition of mappings as multiplication. As a new modeling approach, it clearly illustrate characteristic of continuous events. Based on the algebraic model, an example of optimal Control is demonstrated.