Generic properties of singular trajectories
Annales de l'I.H.P. Analyse non linéaire, Volume 14 (1997) no. 2, pp. 167-186.
@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/}
}
TY  - JOUR
AU  - Bonnard, B.
AU  - Kupka, I.
TI  - Generic properties of singular trajectories
JO  - Annales de l'I.H.P. Analyse non linéaire
PY  - 1997
SP  - 167
EP  - 186
VL  - 14
IS  - 2
PB  - Gauthier-Villars
UR  - http://www.numdam.org/item/AIHPC_1997__14_2_167_0/
LA  - en
ID  - AIHPC_1997__14_2_167_0
ER  - 
%0 Journal Article
%A Bonnard, B.
%A Kupka, I.
%T Generic properties of singular trajectories
%J Annales de l'I.H.P. Analyse non linéaire
%D 1997
%P 167-186
%V 14
%N 2
%I Gauthier-Villars
%U http://www.numdam.org/item/AIHPC_1997__14_2_167_0/
%G en
%F 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] R. Benedetti and J.J. Risler, Real algebraic and semi-algebraic sets, Hermann, Paris, 1990. | MR | Zbl

[B1] B. Bonnard, 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] B. Bonnard, 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] B. Bonnard and I. Kupka, 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

[BK2] B. Bonnard and I. Kupka, Deux propriétés génériques des trajectoires singulières, Note au C.R.A.S., t. 319, série I, 1994, pp. 509-512. | MR | Zbl

[GG] M. Golubitsky and V. Guillemin, Stable mappings and their singularities, Springer Verlag, New York, 1973. | MR | Zbl

[GP] M. Goreski and R. Mcpherson, Stratified Morse theory, Springer Verlag, New York, 1988. | MR | Zbl

[HT] M. Henneaux and C. Teitelboim, Quantization of gauge systems, Princeton University Press, 1992. | MR | Zbl

[L] C. Lobry, Une propriété générique des couples de champs de vecteur, Czech. Math. J., Vol. 22, (97), 1972, pp. 230-237. | EuDML | MR | Zbl

[Pa] L. Pontriaguine et al., Théorie mathématique des processus optimaux, Editions Mir, Moscou, 1974. | MR | Zbl