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Foundations of System Theory Finitary and Infinitary Conditions Book PDF Summary

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].

Detail Book of Foundations of System Theory Finitary and Infinitary Conditions PDF

Foundations of System Theory  Finitary and Infinitary Conditions
  • Author : Brian D.O. Anderson
  • Release : 06 December 2012
  • Publisher : Springer Science & Business Media
  • ISBN : 9783642454790
  • Genre : Business & Economics
  • Total Page : 104 pages
  • Language : English
  • PDF File Size : 17,6 Mb

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