{"product_id":"foundations-of-system-theory-finitary-and-infinitary-conditions-von-brian-d-o-anderson-michael-a-arbib-e-g-manes","title":"Foundations of System Theory: Finitary and Infinitary Conditions","description":"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].\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783540076117\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783540076117","offer_id":39425820786781,"sku":"9783540076117","price":53.49,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/abeaa025-4641-4f01-9d3f-0475a337cf7a.jpg?v=1773380660","url":"https:\/\/shop.autorenwelt.de\/products\/foundations-of-system-theory-finitary-and-infinitary-conditions-von-brian-d-o-anderson-michael-a-arbib-e-g-manes","provider":"Autorenwelt Shop","version":"1.0","type":"link"}