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Graphical matroid for causality assignment in bond graphs

✍ Scribed by Hafid Haffaf; Geneviève Dauphin-Tanguy; Mustapha Kamel Rahmouni

Book ID
104156615
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
176 KB
Volume
293
Category
Article
ISSN
0024-3795

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✦ Synopsis

Graphical methods provide useful tools to study the structure of systems. The bond graph approach is used in modelling process of dynamical systems. The matroid theory oers a powerful tool if we are interested in combinatorial aspects of causality assignment. This paper is organized as follows: after an introduction, Section 2 introduces some matroid background, and Section 3 presents some matroid de®nitions about structural properties. In Section 4, the main result of this paper is the proposal of a procedure that constructs cycle and co-cycle graphs from graphical matroids de®ned in the previous section. Validity of this procedure and some examples are shown in Sections 5 and 6, respectively, and concluding remarks are given in Section 7.

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