An expression of system connection considering transmission delay

This paper presents an expression of system connection considering transmission delay. In a research field of decentralized system or information system, the expression method of the system connection is a very important issue. Therefore, several expression methods of system connection have been proposed so far. However, those expressions are mainly based on binary operations without consideration for the transmission delays on connection paths although the concept of time is very important for expression of system connection. In this paper, expression methods of system connection considering transmission delays on the paths are proposed. Those expressions are based on exponential-type expression and can express both connections and transmission delays. Furthermore, the expression that can express connections, transmission delays, and past subsystems is also proposed. As one example of the application of proposed expressions, application for path selection of the design of network-based control system is described.