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On an equivalence of system-theoretical and categorical concepts. (English) Zbl 0454.18006

MSC:

18B20 Categories of machines, automata
68Q45 Formal languages and automata

Citations:

Zbl 0318.18008
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References:

[1] J. Adámek: Realization theory for automata in categories. J. Pure Appl. Algebra 9 (1977), 281-296.
[2] J. Adámek: Categorical realization theory II. Nerode equivalences. Algebraische Modele, Kategorien und Gruppoide (H.-J. Hoehnke. Akademie-Verlag, Berlin 1979, 123- 136.
[3] J. Adámek V. Trnková: Varietors and machines. Technical Rep. 78 - 6, Univ. of Massachusetts, Amherst, 1978
[4] B. D. O. Anderson M. A. Arbib E. G. Manes: Foundations of system theory: finitary and infinitary conditions. Lect. Notes Econ. Math. Syst. 115, Springer-Verlag, Berlin-Heidelberg-New York 1976. · Zbl 0462.93003
[5] M. A. Arbib E. G. Manes: Fuzzy machines in a category. Bull. Austral. Mathem. Soc. 13 (1975), 169-210. · Zbl 0318.18008
[6] M. Barr: Right exact functors. J. Pure Appl. Algebra 5 (1974), 1-7. · Zbl 0281.18003
[7] H. Ehring H.-J. Kreowski: The skeleton of minimal realization. Algebraische Modelle, Kategorien und Gruppoide (H.-J. Hoehnke. Akademie-Verlag, Berlin 1979, 137 - 154.
[8] H. Ehring W. Kühnel: Categorical approach to non-linear constant continuous-time systems. Technical Rep. 76 - 05, University of Berlin · Zbl 0356.94065
[9] H. Ehring K. D. Kiermeier H.-J. Kreowski W. Kühnel: Universal Theory of Automata, a Categorical Approach. Teubner-Verlag, Stuttgart 1974. · Zbl 0289.94023
[10] J. A. Goguen: Systems and minimal realization. Proc. 1974 IEEE Conf. Decision Contr., 42-46.
[11] H. Herrlich: Factorization of morphisms \(f \colon B \to FA\). Math. Z. 114 (1970), 180-186. · Zbl 0182.34502
[12] R. E. Kalman P. L. Falb M. A. Arbib: Topics in Mathematical Systems Theory. McGraw-Hill, New York 1969. · Zbl 0231.49001
[13] V. Trnková: On minimal realizations of behavior maps in categorical automata theory. Comment. Math. Univ. Carolinae 15 (1974), 555-566. · Zbl 0296.18003
[14] V. Trnková: Automata and Categories. Mathematical Foundations of Comp. Science. (Lect. Notes in Comp. Science 32.) Springer-Verlag, Berlin-Heidelberg-New York 1975, 138-152.
[15] V. Trnková J. Adámek: Realization is not universal. Weiterbildungszentrum für mathematische Kybernetik und Rechentechnik TU Dresden, Heft 21 (1977), 38 - 55.
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