Foundations of System Theory: Finitary and Infinitary Conditions / Lecture Notes in Economics and Mathematical Systems Bd.115 (PDF)
(Sprache: Englisch)
This paper is one of a series in which the ideas of category theory are applied to problems of system theory. As with the three principal earlier papers, [1-3], the emphasis is on study of the realization problem, or the problem of associating with an...
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This paper is one of a series in which the ideas of category theory are applied to problems of system theory. As with the three principal earlier papers, [1-3], the emphasis is on study of the realization problem, or the problem of associating with an input-output description of a system an internal description with something analogous to a state-space. In this paper, several sorts of machines will be discussed, which arrange themselves in the following hierarchy: Input process Machine Output process (Tree automaton) Machine ~ ~ State-behavior Machine I Adjoint Machine .(Sequential Machine) ., I Decomposable Machine (Linear System, Group Machine) Each member of the hierarchy includes members below it; examples are included in parentheaes, and each example is at its lowest possible point in the hierarchy. There are contrived examples of output process machines and IV state-behavior machines which are not adjoint machines [3], but as yet, no examples with the accepted stature of linear systems [4], group machines [5, 6], sequential machines [7, Ch. 2], and tree automata [7, Ch. 4].
Bibliographische Angaben
- Autoren: Brian D. O. Anderson , Michael A. Arbib , E. G. Manes
- 2012, 1976, 99 Seiten, Englisch
- Verlag: Springer Berlin Heidelberg
- ISBN-10: 3642454798
- ISBN-13: 9783642454790
- Erscheinungsdatum: 06.12.2012
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