Foundations of System Theory: Finitary and Infinitary Conditions - Couverture souple

Michael A. Arbib, Brian D. O. Anderson

Couverture souple

ISBN 10 : 3540076115 ISBN 13 : 9783540076117

Editeur : Springer Berlin Heidelberg, 1976

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].

Détails de l'édition

• Éditeur: Springer Berlin Heidelberg
• Date d'édition: 1976
• Langue: anglais
• ISBN 10: 3540076115
• ISBN 13: 9783540076117
• Reliure: Broché
• Nombre de pages: 108
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne