Existence and uniqueness of nonlinear realizations
Analyse des systèmes, Astérisque, no. 75-76 (1980), pp. 141-147.
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     author = {Jakubczyk, Bronislaw},
     title = {Existence and uniqueness of nonlinear realizations},
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     author = {Collectif},
     series = {Ast\'erisque},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {75-76},
     year = {1980},
     zbl = {0459.93018},
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     language = {en},
     url = {http://archive.numdam.org/item/AST_1980__75-76__141_0/}
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%F AST_1980__75-76__141_0
Jakubczyk, Bronislaw. Existence and uniqueness of nonlinear realizations, in Analyse des systèmes, Astérisque, no. 75-76 (1980), pp. 141-147. http://archive.numdam.org/item/AST_1980__75-76__141_0/

[1] R. W. Brockett.- Volterra series and geometric control theory. Automatica 12 (1976), 167-176. | DOI | MR | Zbl

[2] P. Crouch. - Realizations of stationary finite Volterra series. These proceedings.

[3] P. D’Alessandro, A. Isidori, A. Ruberti. - Realization and structure theory of bilinear dynamical systems. SIAM J. Control, Vol.12, n°3 (1974). | DOI | MR | Zbl

[4] R. Hermann, A. J. Krener.- Nonlinear controllability and observability. IEEE Trans. Automatic Control, Vol.22, n°5 (1977). | DOI | MR | Zbl

[5] B. Jakubczyk. - Existence and uniqueness of realizations of nonlinear systems. Preprint, Warszawa 1978. | MR | Zbl

[6] R. E. Kalman, P. L. Falb, M. A. Arbib. - Topics in Mathematical System Theory. New-York 1969. | MR | Zbl

[7] C. Lobry.- Dynamical polysystems and control theory. In "Geometric methods", Proc. Conf. London 1973. | Zbl

[8] H. J. Sussmann.- Minimal realizations of nonlinear systems. In "Geometric methods", Proc. Conf. London 1973. | Zbl

[9] H. J. Sussmann. - Orbits of families of vector fields and integrability of distributions. Trans. Am. Math. Soc. 180 (1973), 171-188. | DOI | MR | Zbl

[10] H. J. Sussmann. - Existence and uniqueness of minimal realizations of nonlinear systems. Math. Syst. Theory 10 (1977), 263-284. | DOI | MR | Zbl

[11] H. J. Sussmann. - A generalization of closed subgroup theorem to quotients of arbitrary manifolds. J. Diff. Geom. 10 (1975), 151-166. | DOI | MR | Zbl