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].
| Autorius: | Brian D. O. Anderson, E. G. Manes, Michael A. Arbib, |
| Serija: | Lecture Notes in Economics and Mathematical Systems |
| Leidėjas: | Springer Berlin Heidelberg |
| Išleidimo metai: | 1976 |
| Knygos puslapių skaičius: | 108 |
| ISBN-10: | 3540076115 |
| ISBN-13: | 9783540076117 |
| Formatas: | Knyga minkštu viršeliu |
| Kalba: | Anglų |
| Žanras: | Economic theory and philosophy |
Parašykite atsiliepimą apie „Foundations of System Theory: Finitary and Infinitary Conditions“
