AN AXIOMATIC THEORY OF GENERAL SYSTEMS

Abstract

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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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1967
Accession Number
AD0659484

Entities

People

  • T. G. Windeknecht

Organizations

  • Case Western Reserve University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

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  • Additives (Chemicals)
  • Complex Systems
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  • Real Numbers
  • Set Theory
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  • Mathematical Modeling and Probability Theory.