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Item Details
Title:
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FOUNDATIONS OF SYSTEM THEORY: FINITARY AND INFINITARY CONDITIONS
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By: |
Brian Anderson, Michael A. Arbib, E. G. Manes |
Format: |
Paperback |
List price:
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£89.99 |
We currently do not stock this item, please contact the publisher directly for
further information.
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ISBN 10: |
3540076115 |
ISBN 13: |
9783540076117 |
Publisher: |
SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG |
Pub. date: |
1 March, 1976 |
Edition: |
Softcover reprint of the original 1st ed. 1976 |
Series: |
Lecture Notes in Economics and Mathematical Systems 115 |
Pages: |
99 |
Synopsis: |
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]. |
Illustrations: |
VIII, 99 p. |
Publication: |
Germany |
Imprint: |
Springer-Verlag Berlin and Heidelberg GmbH & Co. K |
Returns: |
Returnable |
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