Foundations of System Theory: Finitary and Infinitary Conditions:
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...
Gespeichert in:
| Hauptverfasser: | , , |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1976
|
| Ausgabe: | 1st ed. 1976 |
| Schriftenreihe: | Lecture Notes in Economics and Mathematical Systems
115 |
| Schlagworte: | |
| Online-Zugang: | BTU01 Volltext |
| Zusammenfassung: | 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] |
| Beschreibung: | 1 Online-Ressource (VIII, 99 p) |
| ISBN: | 9783642454790 |
| DOI: | 10.1007/978-3-642-45479-0 |
Internformat
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| 245 | 1 | 0 | |a Foundations of System Theory: Finitary and Infinitary Conditions |c by Brian D.O. Anderson, Michael A. Arbib, E. G. Manes |
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| 520 | |a 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] | ||
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| author | Anderson, Brian D.O Arbib, Michael A. Manes, E. G. |
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| dewey-full | 330.1 |
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| dewey-ones | 330 - Economics |
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| discipline | Mathematik Wirtschaftswissenschaften |
| discipline_str_mv | Mathematik Wirtschaftswissenschaften |
| doi_str_mv | 10.1007/978-3-642-45479-0 |
| edition | 1st ed. 1976 |
| format | Electronic eBook |
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| series2 | Lecture Notes in Economics and Mathematical Systems |
| spelling | Anderson, Brian D.O. Verfasser aut Foundations of System Theory: Finitary and Infinitary Conditions by Brian D.O. Anderson, Michael A. Arbib, E. G. Manes 1st ed. 1976 Berlin, Heidelberg Springer Berlin Heidelberg 1976 1 Online-Ressource (VIII, 99 p) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Economics and Mathematical Systems 115 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] Economic Theory/Quantitative Economics/Mathematical Methods Mathematics, general Economic theory Mathematics Automatentheorie (DE-588)4003953-5 gnd rswk-swf Grundlage (DE-588)4158388-7 gnd rswk-swf Systemtheorie (DE-588)4058812-9 gnd rswk-swf Systemtheorie (DE-588)4058812-9 s Grundlage (DE-588)4158388-7 s DE-604 Automatentheorie (DE-588)4003953-5 s Arbib, Michael A. aut Manes, E. G. aut Erscheint auch als Druck-Ausgabe 9783540076117 Erscheint auch als Druck-Ausgabe 9783642454806 https://doi.org/10.1007/978-3-642-45479-0 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Anderson, Brian D.O Arbib, Michael A. Manes, E. G. Foundations of System Theory: Finitary and Infinitary Conditions Economic Theory/Quantitative Economics/Mathematical Methods Mathematics, general Economic theory Mathematics Automatentheorie (DE-588)4003953-5 gnd Grundlage (DE-588)4158388-7 gnd Systemtheorie (DE-588)4058812-9 gnd |
| subject_GND | (DE-588)4003953-5 (DE-588)4158388-7 (DE-588)4058812-9 |
| title | Foundations of System Theory: Finitary and Infinitary Conditions |
| title_auth | Foundations of System Theory: Finitary and Infinitary Conditions |
| title_exact_search | Foundations of System Theory: Finitary and Infinitary Conditions |
| title_exact_search_txtP | Foundations of System Theory: Finitary and Infinitary Conditions |
| title_full | Foundations of System Theory: Finitary and Infinitary Conditions by Brian D.O. Anderson, Michael A. Arbib, E. G. Manes |
| title_fullStr | Foundations of System Theory: Finitary and Infinitary Conditions by Brian D.O. Anderson, Michael A. Arbib, E. G. Manes |
| title_full_unstemmed | Foundations of System Theory: Finitary and Infinitary Conditions by Brian D.O. Anderson, Michael A. Arbib, E. G. Manes |
| title_short | Foundations of System Theory: Finitary and Infinitary Conditions |
| title_sort | foundations of system theory finitary and infinitary conditions |
| topic | Economic Theory/Quantitative Economics/Mathematical Methods Mathematics, general Economic theory Mathematics Automatentheorie (DE-588)4003953-5 gnd Grundlage (DE-588)4158388-7 gnd Systemtheorie (DE-588)4058812-9 gnd |
| topic_facet | Economic Theory/Quantitative Economics/Mathematical Methods Mathematics, general Economic theory Mathematics Automatentheorie Grundlage Systemtheorie |
| url | https://doi.org/10.1007/978-3-642-45479-0 |
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