Accession Number:

AD0659484

Title:

AN AXIOMATIC THEORY OF GENERAL SYSTEMS

Descriptive Note:

Corporate Author:

CASE WESTERN RESERVE UNIV CLEVELAND OHSYSTEMS RESEARCH CENTER

Personal Author(s):

Report Date:

1967-01-01

Pagination or Media Count:

28.0

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 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.

Subject Categories:

  • Administration and Management
  • Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE