New representation of systems with effect variables

This paper describes a study for a novel system representation. The considered system is composed of several elements that have interaction among them. In the system representation, the conventional approach has been paying attention to the elements expressing a system. Here the proposed approach focuses on the system interactions from a viewpoint of system connection. To describe the hierarchical structure of the dynamical system connections, this paper introduces additional variables, called "effect" variables. Then system matrices and equations are derived using "effect" variables. This feature makes it easy to design a new system.