AN AXIOMATIC THEORY OF GENERAL SYSTEMS

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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.

Author(s):
Windeknecht, T. G.
Author Organization(s):
CASE WESTERN RESERVE UNIV CLEVELAND OHSYSTEMS RESEARCH CENTER
Supplementary Note:
Presented at the Systems Science and Cybernetics Conference, IEEE, Boston, MA. October 11-13, 1967.
Pagination:
0028

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release
Distribution Statement:
Approved For Public Release; Distribution Is Unlimited.

RECORD

Collection: TR
Identifying Numbers
Contract/Grant Number(s):
NONR-1141(12), NSF-GK-1394
Monitor Series:
ONR
 Subject Terms
Joint Capability Areas:
JCA_1.2.6_Concepts; JCA_1.2_Force Preparation; JCA_1_Force Support; JCA_4.6_Engineering; JCA_5_Command and Control; JCA_4.6.1_General Engineering
Communities of Interest:
Materials and Manufacturing Processes
Descriptor(s):
*MANAGEMENT PLANNING AND CONTROL, *DECISION MAKING, *OPERATIONS RESEARCH, *SET THEORY, MATHEMATICAL MODELS, OPTIMIZATION, MAPPING(TRANSFORMATIONS), GROUPS(MATHEMATICS)
Field(s)/Group(s):
Administration and Management, Operations Research
Keyword(s):
SYSTEMS THEORY
Report Date:
1966 Jan 01