Dynamic Model of Informationally Connected Systems

Abstract

This paper presents a dynamic model of informationally connected systems. The model is based on a concept of eigenvalues and eigen-connections over an extension field of GF (2). It is shown that the eigen-connections are basis which span all connection space. Then two example models, an asynchronous scheduler and a token passing protocol, is shown. In an industry field, there are many engineering systems which have dynamical transition of informational connection. The mathematical model proposed in this paper will be useful for analysis and synthesis of various informatinally connected systems.