Graph MA product systems
I. Romanovski, Peter E. Caines · 2004
In this paper, we introduce the notion of graph MA (GMA) product which constitutes a formal framework for the analysis of complex systems defined on graphs. The GMA product is a generalization of the multi-agent (MA) product which was introduced and developed previously. This paper contains results comparing the descriptive power of the MA product, the GMA product and the simultaneous product. It is shown that a necessary and sufficient condition given by I. Romanovski et al. (2002) for the existence of the MA supervisors can be directly applied in order to get a GMA supervisor. Several examples are given to motivate the notion of a GMA product and to illustrate the results of the paper.