Automatique algèbre différentielle et causalité
Séminaire de Philosophie et Mathématiques, Automatique algèbre différentielle et causalité, no. 13 (1987), pp. 1-14. 
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     title = {Automatique alg\`ebre diff\'erentielle et causalit\'e},
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}
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Fliess, M. Automatique algèbre différentielle et causalité. Séminaire de Philosophie et Mathématiques, Automatique algèbre différentielle et causalité, no. 13 (1987), pp. 1-14. http://archive.numdam.org/item/SPHM_1987___13_A1_0/

1. R. Berndt, Arithmetisch ganze Differentiale, Abh. Math. Seminar Univ. Hamburg, 47, 1978, p. 186-200. | MR | Zbl

2. M. Boshernitzan, Universal formulae and universal differential equations, Ann. of Math., 124, 1986, p. 273-291. | MR | Zbl

3. R.M. Cohn, Difference Algebra, Interscience Publishers, New York, 1965. | MR | Zbl

4. M. Fliess, Nonlinear control theory and differential algebra, Proc. I.I.A.S.A. Conf. Modelling Adaptive Control, Sopron, Hungary, July 1986. | Zbl

5. M. Fliess, Esquisses pour une théorie des systèmes non linéaires en temps discret, Proc. Conf. Linear Nonlinear Math. Control Theory, Torino, July 1986, Rend. Semin. Mat. Univ. Politec. Torino (à paraître).

6 M. Fliess, Quelques définitions de la théorie des systèmes à la lumière des corps différentiels (à paraître). | Zbl

7. M. Fliess et M. Hazewinkel, eds, Algebraic and Geometric Methods in Nonlinear Control Theory, Reidel, Dordrecht, 1986. | MR | Zbl

8. M. Hasler et J. Neirynck, Circuits non linéaires, Presses Polytechniques Romandes, Lausanne, 1985. | MR

9. A. Isidori, Nonlinear Control Systems : An Introduction, Lect. Notes Control Inform. Sc. 72, Springer, Berlin, 1985. | MR | Zbl

10. E. Kähler, Algebra und Differentialrechnung, VEB Deutscher Verlag der Wissenschaften, Berlin, 1958. | MR | Zbl

11. E. Kähler, Geometria aritmetica, Ann. Mat. pura appl. (serie IV), 45, 1958. | MR | Zbl

12. T. Kailath, Linear Systems, Prentice-Hall, Englewood Cliffs, NJ, 1980. | MR | Zbl

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

14. E.R. Kolchin, Differential Algebra and Algebraic Groups, Academic Press, New York, 1973. | MR | Zbl

15. J. Lévine et P. Rouchon, Disturbances rejection and integral control of aggregated nonlinear distillation models, Proc. Conf. Antibes, 1986

A. Bensoussan and J.L. Lions, eds, Lect. Notes Control Inform. Sc. 83, p. 694-714, Springer, Berlin, 1986. | MR

16. J.-F. Pommaret, Differential Galois Theory, Gordon and Breach, New York, 1983. | MR | Zbl

17. M.B. Pour-El, Abstract computability and its relation to the general purpose analog computer (some connections between logic, differential equations and analog computers),Trans. Amer. Math. Soc., 199, 1974, p. 1-28. | MR | Zbl

18. J.F. Ritt, Differential Algebra, Amer. Math. Soc., New York, 1950. | Zbl

19. L. Rubel, A universal differential equation, Bull. Amer. Math. Soc. (N.S.), 4, 1981, p. 345-349. | MR | Zbl

20. A.J. Van Der Schaft, System theoretic description of physical systems, CWI Tract 3, Centrum voor Wiskunde en Informatica, Amsterdam, 1984. | MR | Zbl

21. A.J. Van Der Schaft, On realization of nonlinear systems described by higher-order differential equations (à paraître). | Zbl

22. J.M. Schumacher, Transformations of linear systems under external equivalence (à paraître). | Zbl

23. C.E. Shannon, Mathematical theory of the differential analyzer, J. Math. Phys. M.I.T., 20, 1941, p. 337-354. | MR | Zbl

24. J.C. Willems, System theoretic models for the analysis of physical systems, Ricerche Automatica, 10, 1979, p. 71-106. | MR | Zbl

25. J.C. Willems, Input-output and state-space representations of finite-dimensional linear time-invariant systems, Linear Alg. Appl., 50, 1983, p. 581-608. | MR | Zbl

26. J.C. Willems, From time series to linear systems, I & II, Automatica, 22, 1986. | Zbl

27. L.A. Zadeh et C.A. Desoer, Linear System Theory : The State Space Approach, MCGraw-Hill, New York, 1963. | Zbl