抄録
In this paper a realization theory is discussed in the framework of the general systems theory.
Concepts of a general time system, an input-output response and an abstract dynamical system are introduced based on those by Mesarovic1), 3), 6), and a realization problem in the general systems theory is formulated as one to convert a given system representation in the form of an input-output response into that of an abstract dynamical system.
A necessary and sufficient condition of the realization for a general time system and that for a general stationary system are given in this paper.
The results are represented in a form fairly different from that of the classical ones. However, it will be shown in the succeeding paper that the classical results can be derived from the present ones when a general linear time system is considered. The present results will be also used in another paper to derive a canonical representation for a general time system.
