Geodesic
Stability of mappings of Hilbert space and equivalence of controlled systems
Sbornik. Mathematics, Tome 41 (1982) no. 1, pp. 127-138 
A. V. Sarychev. Stability of mappings of Hilbert space and equivalence of controlled systems. Sbornik. Mathematics, Tome 41 (1982) no. 1, pp. 127-138. http://geodesic.mathdoc.fr/item/SM_1982_41_1_a7/
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     title = {Stability of mappings of {Hilbert} space and equivalence of controlled systems},
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In this paper methods of the theory of singularities of smooth mappings (catastrophe theory) are applied to the study and classification of nonlinear controlled systems. The notion of equivalence of controlled systems is introduced and sufficient conditions for first and second order definiteness of such equivalence are obtained. Bibliography: 3 titles.

[1] T. Breker, L. Lander, Differentsiruemye rostki i katastrofy, izd-vo “Mir”, Moskva, 1977

[2] A. A. Agrachev, R. V. Gamkrelidze, “Eksponentsialnoe predstavlenie potokov i khronologicheskoe ischislenie”, Matem. sb., 107(149) (1978), 468–532 | MR

[3] Zh. Dedonne, Osnovy sovremennogo analiza, izd-vo “Mir”, Moskva, 1964