{"product_id":"foundations-of-system-theory-finitary-and-infinitary-conditions-9783540076117","title":"Foundations of System Theory: Finitary and Infinitary Conditions","description":"\u003cp\u003e • Author(s): Brian D. O. Anderson\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: System Theory\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis 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].\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45280387530903,"sku":"9783540076117","price":3672.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783540076117.webp?v=1769296176","url":"https:\/\/atlanticbooks.com\/products\/foundations-of-system-theory-finitary-and-infinitary-conditions-9783540076117","provider":"Atlantic Books","version":"1.0","type":"link"}