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Mathematical Systems Theory
Article . 1974 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
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zbMATH Open
Article . 1975
Data sources: zbMATH Open
DBLP
Article . 1975
Data sources: DBLP
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Models of deterministic systems

Authors: Burks, Arthur W. (Arthur Walter);

Models of deterministic systems

Abstract

The definition of "model of a system" in terms of a homomorphism on the states of the system is evaluated and an alternative definition in terms of sequence generators is proposed. Sequence generators are finite graphs whose points represent complete states of a system. Sequence generators include finite automata and other information processing systems as special cases. It is shown how to define models in terms of a projection operator which applies to any sequence generator which has an output projection and yields a new sequence generator. A model produced by the projection operator is embedded in the system it models. The notion of embedding is discussed informally and some questions raised about the relations of deterministic, indeterministic, and probabilistic models and systems.

Country
United States
Keywords

Computational Mathematics and Numerical Analysis, Science, Computer Science, Switching theory, application of Boolean algebra; Boolean functions, Theory of Computation, Stochastic systems and control, Formal languages and automata, General systems, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Average
Top 10%
Average
bronze