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Item Details
Title: FOUNDATIONS OF SYSTEM THEORY: FINITARY AND INFINITARY CONDITIONS
By: Brian Anderson, Michael A. Arbib, E. G. Manes
Format: Paperback

List price: £89.99


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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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