| 書(shū)目名稱 | Foundations of System Theory: Finitary and Infinitary Conditions | | 編輯 | Brian D. O. Anderson,Michael A. Arbib,Ernest G. Ma | | 視頻video | http://file.papertrans.cn/348/347189/347189.mp4 | | 叢書(shū)名稱 | Lecture Notes in Economics and Mathematical Systems | | 圖書(shū)封面 |  | | 描述 | 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]. | | 出版日期 | Book 1976 | | 關(guān)鍵詞 | Finite; Nonlinear system; category theory; foundation; system; systems theory | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-45479-0 | | isbn_softcover | 978-3-540-07611-7 | | isbn_ebook | 978-3-642-45479-0Series ISSN 0075-8442 Series E-ISSN 2196-9957 | | issn_series | 0075-8442 | | copyright | Springer-Verlag Berlin · Heidelberg 1976 |
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