@article{AIHPC_2001__18_4_459_0, author = {Montgomery, Richard and Zhitomirskii, Michail}, title = {Geometric approach to Goursat flags}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, volume = {18}, year = {2001}, pages = {459-493}, mrnumber = {1841129}, zbl = {1013.58004}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPC_2001__18_4_459_0} }
Montgomery, Richard; Zhitomirskii, Michail. Geometric approach to Goursat flags. Annales de l'I.H.P. Analyse non linéaire, Tome 18 (2001) pp. 459-493. http://gdmltest.u-ga.fr/item/AIHPC_2001__18_4_459_0/
[1] Exterior Differential Systems, Math. Sci. Res. Inst. Publ., 18, Springer-Verlag, 1991. | MR 1083148 | Zbl 0726.58002
, , , , ,[2] Sur certaines expressions différentielles et le problème de Pfaff, Ann. Ec. Normale 16 (1899) 239-332. | JFM 30.0313.04 | Numdam | MR 1508969
,[3] Sur l'équivalence absolue de certains systèmes d'équations différentielles et sur certaines familles de courbes, Ann. Ec. Norm. Sup. 42 (1914) 12-48. | JFM 45.1294.04 | Numdam | MR 1504722
,[4] Zur Invariantentheorie der Systeme von Pfaffschen Gleichungen, Berichte Verhandlungen der Koniglich Sachsischen Gesellschaft der Wissenschaften Mathematisch-Physikalische Klasse 41, 1889. | JFM 21.0340.01
,[5] On differential flat nonlinear systems, in: Proceedings of the IFAC Nonlinear Control Systems Design Symposium, Bordeaux, 1992, pp. 408-412.
, , , ,[6] Uber das Pfaffsche Problem, Journal de Crelle 82 (1887) 230-315. | JFM 09.0249.03
,[7] Sobre la clasificacion de sistemas de Pfaff en bandera (Span.), in: Proc. of the 10th Spanish-Portuguese Conf. on Math., University of Murcia, 1985, pp. 67-74.
,[8] Exotic Engel structures on R4, Russian J. Math. Phys. 3 (2) (1995) 207-226. | MR 1350504 | Zbl 0909.53022
,[9] Sur la lecture correcte d'un résultat d'Elie Cartan, C. R. Acad. Sci. Paris 287 (1978) 241-244. | Zbl 0398.58003
, , ,[10] On the global stability of maximally nonholonomic two-plane fields in four dimensions, Intern. Math. Res. Notices 11 (1997) 523-529. | MR 1448335 | Zbl 0893.58007
,[11] Leçons sur le Problème de Pfaff, Hermann, Paris, 1923. | JFM 48.0538.01
,[12] Some global properties of contact structures, Ann. of Math. 69 (2) (1959) 421-450. | MR 112161 | Zbl 0092.39301
,[13] The car with n trailers: characterization of the singular configurations, ESIAM: Control, Optimization and Calculus of Variations 1 (1996) 241-266. | Numdam | MR 1411581 | Zbl 0874.93033
,[14] Sur l'équivalence locale des systèmes de Pfaff en drapeau, in: (Ed.), Monge-Ampere Equations and Related Topics, Roma, 1982, pp. 201-248. | MR 704040 | Zbl 0516.58004
, ,[15] The maximum of the degree of nonholonomy for the car with n trailers, in: Proceedings of the 4th IFAC Symposium on Robot Control, Capri, 1994.
, ,[16] Engel deformations and contact structures, in: , (Eds.), Amer. Math. Soc. Transl. (2), 196, 1999, pp. 103-117. | MR 1736216 | Zbl 0961.53043
,[17] Rank-2 distributions satisfying the Goursat condition: all their local models in dimension 7 and 8, ESAIM: Control, Optimization and Calculus of Variations 4 (1999) 137-158. | Numdam | MR 1816509 | Zbl 0957.58002
, ,[18] Local classification of rank-2 distributions satisfying the Goursat condition in dimension 9, in: , (Eds.), Singularites et Geometrie Sous-Riemannienne, Travaux en Cours, 62, Paris, 2000, pp. 89-119. | Zbl 1141.58302
,[19] Contact hamiltonians distinguishing locally certain Goursat systems, in: Poisson Geometry, Banach Center Publications 51, Warsaw, 2000, pp. 219-230. | MR 1764448 | Zbl 0965.37051
,[20] Nilpotent bases for a class of nonintegrable distributions with applications to trajectory generation, Math. Contr. Sign. Sys. 7 (1994) 58-75. | MR 1359021 | Zbl 0825.93319
,[21] Conversion of the kinematics of a car with n trailers into a chain form, IEEE International Conference on Robotics and Automation, 1993.
,[22] On the global degree of nonholonomy of a car with n trailers, Memorandum of Electronic Research Laboratory, Berkeley, 1993.
,[23] Normal forms of germs of distributions with a fixed growth vector, Leningrad Math. J. 5 (2) (1990) 125-149. | MR 1086448 | Zbl 0732.58004
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