Categorical approach to nonlinear constant continuous-time systems
RAIRO. Informatique théorique, Tome 13 (1979) no. 2, pp. 107-133. 
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     title = {Categorical approach to nonlinear constant continuous-time systems},
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     pages = {107--133},
     publisher = {EDP-Sciences},
     volume = {13},
     number = {2},
     year = {1979},
     mrnumber = {543936},
     zbl = {0417.93008},
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     url = {http://archive.numdam.org/item/ITA_1979__13_2_107_0/}
}
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Ehrig, H.; Kühnel, W. Categorical approach to nonlinear constant continuous-time systems. RAIRO. Informatique théorique, Tome 13 (1979) no. 2, pp. 107-133. http://archive.numdam.org/item/ITA_1979__13_2_107_0/

1. M. A. Arbib and E. G. Manes, Foundations of System Theory: Decomposable Systems, C.O.I.N.S. Technical Report 73-B3, Univ. of Mass., Amherst, 1973. | MR

2. M. A. Arbib and E. G. Manes, Fuzzy Machines in a Category, C.O.I.N.S. Technical Report 75-B1, Univ. of Mass., Amherst, 1975. | MR

3. H. Ehrig, K. D. Kiermeier, H.-J. Kreowski and W. Kühnel, Universal Theory of Automata: A Categorical Approach, Teubner-Verlag, Stuttgart, 1974. | MR | Zbl

4. H. Ehrig and H.-J. Kreowski, The Skeleton of Minimal Realization, Technical Report 76-04, Technische Universität Berlin, 1976, to appear in Studien zur Algebra und ihre Anwendungen, Akademie-Verlag, Berlin. | MR | Zbl

5. H. Ehrig and W. Kühnel, Topological Automata, R.A.I.R.O., Vol. 8, R-3, 1974, pp. 73-91. | Numdam | MR | Zbl

6. S. J. Hegner, A Categorical Approach to Continuous-Time Linear Systems, C.O.I.N.S. Technical Report 76-8, Univ. of Mass., Amherst, 1976.

7. R. E. Kalman, P. L. Falb and M. A. Arbib, Topics in Mathematical System Theory, McGraw-Hill, New York, 1969. | MR | Zbl

8. S. Maclane, Categories for the Working Mathematician, Springer-Verlag, Berlin-Heidelberg-New York, 1972. | MR

9. M. Pfender, Universal Algebra in S-monoidal Categories, Ber. Math. Sem. Univ. München, 20 1974. | Zbl

10. H. J. Sussmann, Minimal Realizations and Canonical Forms for Bilinear Systems, Research Report, Rutgers Univ., 1975. | MR

11. H. J. Sussmann, Existence and Uniqueness of Minimal Realizations of Nonlinear Systems, Math. Syst. Theory, Vol. 10, 1977, pp. 263-284. | MR | Zbl

12. H. J. Sussmann, Semigroup Representation, Bilinear Approximation of Input-Output Maps and Generalized Inputs, Research Report, Rutgers Univ., 1975. | MR

13. H. J. Sussmann, A Generalization of the Closed Subgroup Theorem to Quotients of Arbitrary Manifolds, J. Diff. Geom., Vol. 10, 1975, pp. 151-166. | MR | Zbl

14. R. Valk, Realisierung allgemeiner Systeme, Berichte der Gesellschaft für Mathematik und Datenverarbeitung, No. 107, Bonn, 1976. | MR | Zbl