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AN AXIOMATIC THEORY OF GENERAL SYSTEMS

Author: T G Windeknecht; CASE WESTERN RESERVE UNIV CLEVELAND OHSYSTEMS RESEARCH CENTER.
Publisher: Ft. Belvoir Defense Technical Information Center JAN 1967.
Edition/Format:   eBook : English
Database:WorldCat
Summary:
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  Read more...
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Material Type: Internet resource
Document Type: Internet Resource
All Authors / Contributors: T G Windeknecht; CASE WESTERN RESERVE UNIV CLEVELAND OHSYSTEMS RESEARCH CENTER.
OCLC Number: 227466123
Notes: Presented at the Systems Science and Cybernetics Conference, IEEE, Boston, MA. October 11-13, 1967.
Description: 28 pages

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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