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http://worldcat.org/entity/work/id/137190830

AN AXIOMATIC THEORY OF GENERAL SYSTEMS

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 Mesarovic's 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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  • "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 Mesarovic's 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."@en

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  • "AN AXIOMATIC THEORY OF GENERAL SYSTEMS"@en

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