@article{PDML_1978__15_4_1_0,
author = {Bonnard, Bernard},
title = {Couples de g\'en\'erateurs de certaines sous-alg\`ebres de Lie de l'alg\`ebre de Lie symplectique affine, et applications},
journal = {Publications du D\'epartement de math\'ematiques (Lyon)},
volume = {15},
year = {1978},
pages = {1-36},
mrnumber = {580389},
zbl = {0434.93013},
language = {fr},
url = {http://dml.mathdoc.fr/item/PDML_1978__15_4_1_0}
}
Bonnard, Bernard. Couples de générateurs de certaines sous-algèbres de Lie de l'algèbre de Lie symplectique affine, et applications. Publications du Département de mathématiques (Lyon), Tome 15 (1978) pp. 1-36. http://gdmltest.u-ga.fr/item/PDML_1978__15_4_1_0/
1 , A transitivity problem from control theory, J. Differential equations 17, 296-307. (1975). | MR 436210 | Zbl 0316.93006
2 , Controlabilité sur le groupe symplectique et couples de champs de vecteurs hamiltoniens contrôlables sur R2n, Thèse 3ème cycle - Metz (1978).
3 . System theory on group manifolds and coset spaces Siam J. Control (10) 2. 1972. | MR 315559 | Zbl 0238.93001
4 , classical hamiltonian linear systems, Queen's papers in pure and applied mathematics, n° 31. | Zbl 0269.70013
5 , Théorie des matrices, Tome 1, Dunod. | Zbl 0136.00410
6 , Géométrie différentielle et mécanique analytique, Hermann, Paris 1969. | MR 242081 | Zbl 0653.53001
7 , Differential geometry and symmetric spaces, Academic Press 1962. | MR 145455 | Zbl 0111.18101
8 , Lie algebras, Interscience. | Zbl 0121.27504
9 , Controllability in nonlinear systems, J. Differential Equations 19, 46-61 (1975). | MR 431271 | Zbl 0315.93002
10 , Global controllability of nonlinear systems, Siam J. Control (1976). | MR 304004 | Zbl 0341.93006
11 , , Controllability of non linear systems, J. Differential Equations 12, 95-116 (1972). | MR 338882 | Zbl 0242.49040
12 , , Control systems on Lie groups, J. Differential Equations 12, 313-329 (1972). | MR 331185 | Zbl 0237.93027
13 , , Conditions suffisantes d'accessibilité sur les groupes de Lie semi-simples. A paraître.
14 , , Foundations of optimal control theory, John Wiley and Sons (1967). | MR 220537 | Zbl 0159.13201
15 , Controlabilité des systèmes non linéaires, Siam J. control (8) 4 (1970). | Zbl 0207.15201
16 , Controllability of non linear systems on compact manifolds, Siam J. Control (12) 4 (1974). | Zbl 0286.93006
17 , Cours 3ème cycle. Bordeaux (1976).
18 , Couples de champs de vecteurs de Killing complètement contrôlables sur les sphères et espaces euclidiens, Thèse 3ème cycle, Metz (1976).
19 , On the number of vector Fields needed to achieve controllability, Siam J. Control (13) 2 - 1975. | MR 431267 | Zbl 0268.93006
20 , , On controllability by means of two vector Fields, Siam J. Control (13) 6 - 1975. | MR 402812 | Zbl 0313.93006
21 , Some properties of vector Field systems that are not altered by small perturbations, J. Differential Equations, 20, 293-315 (1976). | MR 394756 | Zbl 0346.49036