Overview
- Authors:
-
-
Brian D. O. Anderson
-
Department of Electrical Engineering, University of Newcastle, Australia
-
Michael A. Arbib
-
Department of Computer and Information Science, University of Massachusetts, Amherst, USA
-
Ernest G. Manes
-
Department of Mathematics, University of Massachusetts, Amherst, USA
Access this book
Other ways to access
Table of contents (6 chapters)
-
Front Matter
Pages N1-VII
-
- Brian D. O. Anderson, Michael A. Arbib, Ernest G. Manes
Pages 1-26
-
- Brian D. O. Anderson, Michael A. Arbib, Ernest G. Manes
Pages 27-42
-
- Brian D. O. Anderson, Michael A. Arbib, Ernest G. Manes
Pages 43-62
-
- Brian D. O. Anderson, Michael A. Arbib, Ernest G. Manes
Pages 63-80
-
- Brian D. O. Anderson, Michael A. Arbib, Ernest G. Manes
Pages 81-88
-
- Brian D. O. Anderson, Michael A. Arbib, Ernest G. Manes
Pages 89-91
-
About this book
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].
Authors and Affiliations
-
Department of Electrical Engineering, University of Newcastle, Australia
Brian D. O. Anderson
-
Department of Computer and Information Science, University of Massachusetts, Amherst, USA
Michael A. Arbib
-
Department of Mathematics, University of Massachusetts, Amherst, USA
Ernest G. Manes