AN AXIOMATIC THEORY OF GENERAL SYSTEMS
CASE WESTERN RESERVE UNIV CLEVELAND OHSYSTEMS RESEARCH CENTER
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The paper presents a formalization of the principal concepts of the block diagram approach in systems theory using set theory. The development is axiomatic. Starting from Mesarovics notion of a general system as an n-ary relation, i the concept of time is introduced ii multi-variable input-output systems are formalized and iii the evolution of such systems in time is studied both with and without the property of non-anticipation. It is demonstrated in the latter case that the concept of state naturally arises.
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