A Mathematical Foundation for System Synthesis

Fertig, Janet A.; Zapata, R. N.

doi:10.1007/978-1-4757-0555-3_15

Cited by 7 publications

(4 citation statements)

References 2 publications

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“…This paper has tended to concentrate on the practical application of mathematical systems theory, rather than a detailed examination/explanation of the theory itself. Detailed descriptions of the axiomatic principles behind systems theory are available from the references sources (in particular Fertig andZapata 1977, andWymore 1993).…”

Section: Discussionmentioning

confidence: 99%

“…[Korn 1997] This is an unfortunate state of affairs since the adoption of a mathematically-based systems theory can provide the formulae, theorems and proofs required to underpin the systems engineering processes and design decisions. In fact the application of a mathematically based systems theory to systems design is a well researched and proven approach -the viability of which has already been extensively reviewed (for example: Klir 1996, Bahill and Dean 1996, Fertig and Zapata 1977.…”

Section: Practicable Systems Theorymentioning

confidence: 99%

“…Detailed descriptions of the axiomatic principles behind systems theory are available from the references sources [in particular, Fertig and Zapata, 1977;Wymore, 1993].…”

mentioning

confidence: 99%

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System function implementation and behavioral modeling: A systems theoretic approach

Shell¹

2001

Syst. Engin.

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Systems theory is now a mature part of the discipline of general systems engineering science, with a substantial amount of research effort having been undertaken in the last 40 yearshowever, there is still very little evidence of the widespread practical use of systems-theoretic methods within the engineering industry. This is despite there being strong evidence that many of the current problems in the delivery of acceptable (or even usable) large, complex, systems solutions result from a failure to apply a rigorous systems-science approach. This paper therefore introduces some practical ideas for the effective use of an established mathematical systems theory to the specification and design of engineered system solutions. In particular, the following areas are explored: the capture of system requirement (and in particular ways of ensuring a proper and comprehensive specification of input/output requirements); the modeling of system (complicated) behaviors, including anomalous behaviors arising as a consequence of real system implementation; and the formal relationship between a comprehensive input/output requirement specification and the "complicated" behaviors of the candidate system design solutions. An established theory of systems design, using formal constructs and set-theory notation, is used throughout this paper as the basis for the presentation of ideas.

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Section: Discussionmentioning

confidence: 99%

Section: Practicable Systems Theorymentioning

confidence: 99%

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System function implementation and behavioral modeling: A systems theoretic approach

Shell¹

2001

Syst. Engin.

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“…This paper employs an established theoretic approach for systems design so as to bring rigor, consistency, and clarity to the arguments. Mathematically based systems theory is a well-established and proven approach to systems theoretic designthe viability of which has already been extensively reviewed (e.g., see Klir [1996] and Fertig and Zapata [1977]).…”

Section: The Systems-theoretic System Design Methodsmentioning

confidence: 99%

The synthesis of optimal systems design solutions

Shell¹

2003

Systems Engineering

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By building on earlier established work, a nonrecursive approach to design optimization is proposed. A fractal method of design is developed that embraces the entire space of candidate system solutions. It provides for the direct synthesis of optimal system design solutions of complex system implementations with multiple components, embodying different technologies, and with multiple levels of design hierarchy. The derivation and decomposition of comparative evaluation criteria and tradeoff functions, using mathematical orders over the space of candidate systems, is explored in detail. An extended form of the Subsystem Tradeoff Functional Equation (i.e., nk-STFE for n components and k evaluation criteria) is developed, and its application to optimal design of complex systems architectures is presented. In particular, the effect of overall constraints on system implementationin terms of combinatorial constraints on component choice, and the manner in which this is incorporated into a systems-theoretic approach to complex system designis discussed. The development of formal (systems-theoretic) constructs, theorems, and theorem proofs, are provided where necessary.

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Systems Theory

Hester¹,

Adams²

2017

Systemic Decision Making

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A Mathematical Foundation for System Synthesis

Cited by 7 publications

References 2 publications

System function implementation and behavioral modeling: A systems theoretic approach

System function implementation and behavioral modeling: A systems theoretic approach

The synthesis of optimal systems design solutions

Systems Theory

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