@article{AIHPC_1997__14_2_167_0, author = {Bonnard, B. and Kupka, I.}, title = {Generic properties of singular trajectories}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {167--186}, publisher = {Gauthier-Villars}, volume = {14}, number = {2}, year = {1997}, mrnumber = {1441391}, zbl = {0907.93020}, language = {en}, url = {http://www.numdam.org/item/AIHPC_1997__14_2_167_0/} }
Bonnard, B.; Kupka, I. Generic properties of singular trajectories. Annales de l'I.H.P. Analyse non linéaire, Volume 14 (1997) no. 2, pp. 167-186. http://www.numdam.org/item/AIHPC_1997__14_2_167_0/
[BR] Real algebraic and semi-algebraic sets, Hermann, Paris, 1990. | MR | Zbl
and ,[B1] On singular extremals in the time minimal control problem in R3, SIAM J. on Control and Optimization, Vol. 23, No. 5, 1985, pp. 794-802. | MR | Zbl
,[B2] Feedback equivalence for nonlinear systems and the time optimal control problem, SIAM J. on Control and Optimization, Vol. 29, No. 6, 1991, pp. 1300-1321. | MR | Zbl
,[BK1] Théorie des singularités de l'application entrée-sortie et optimalité des trajectoires singulières dans le problème du temps minimal, Forum Math. Vol. 5, 1993, pp. 111-159. | EuDML | MR | Zbl
and ,[BK2] Deux propriétés génériques des trajectoires singulières, Note au C.R.A.S., t. 319, série I, 1994, pp. 509-512. | MR | Zbl
and ,[GG] Stable mappings and their singularities, Springer Verlag, New York, 1973. | MR | Zbl
and ,[GP] Stratified Morse theory, Springer Verlag, New York, 1988. | MR | Zbl
and ,[HT] Quantization of gauge systems, Princeton University Press, 1992. | MR | Zbl
and ,[L] Une propriété générique des couples de champs de vecteur, Czech. Math. J., Vol. 22, (97), 1972, pp. 230-237. | EuDML | MR | Zbl
,[Pa] Théorie mathématique des processus optimaux, Editions Mir, Moscou, 1974. | MR | Zbl
et al.,