-
2
-
-
0000864354
-
Abnormal sub-Riemannian geodesics: Morse index and rigidity
-
_, Abnormal sub-Riemannian geodesics: Morse index and rigidity. Ann. Inst. Henry Poincaré Anal. Non Linéaire 13 (1996).
-
(1996)
Ann. Inst. Henry Poincaré Anal. Non Linéaire
, vol.13
-
-
-
3
-
-
0011808043
-
Filtration of a Lie algebra of vector fields and nilpotent approximation of control systems
-
_, Filtration of a Lie algebra of vector fields and nilpotent approximation of control systems. Dokl. Akad. Nauk SSSR, 295 (1987), 777-781.
-
(1987)
Dokl. Akad. Nauk SSSR
, vol.295
, pp. 777-781
-
-
-
5
-
-
0009491442
-
Symplectic methods for optimization and control
-
B. Jacubczyk and W. Respondek, eds., Marcel Dekker, New York
-
A. A. Agrachev and R. V. Gamkrelidze, Symplectic methods for optimization and control. In: Geometry of Feedback and Optimal Control, B. Jacubczyk and W. Respondek, eds., Marcel Dekker, New York, 1997.
-
(1997)
Geometry of Feedback and Optimal Control
-
-
Agrachev, A.A.1
Gamkrelidze, R.V.2
-
6
-
-
84996141543
-
Sub-Riemannian spheres in the Martinet flat case
-
A. A. Agrachev, B. Bonnard, M. Chyba, and I. Kupka, Sub-Riemannian spheres in the Martinet flat case. SAIM Control Optim. Calc. Var. 2 (1997), 377-448.
-
(1997)
SAIM Control Optim. Calc. Var.
, vol.2
, pp. 377-448
-
-
Agrachev, A.A.1
Bonnard, B.2
Chyba, M.3
Kupka, I.4
-
7
-
-
0342519715
-
-
Prépublication 95-09a, Lama, Université de Savoie
-
M. Alcheick, P. Orro, and F. Pelletier, Singularité de l'application extrémité pour les chemins horizontaux. Prépublication 95-09a, Lama, Université de Savoie.
-
Singularité de l'Application Extrémité pour les Chemins Horizontaux
-
-
Alcheick, M.1
Orro, P.2
Pelletier, F.3
-
8
-
-
0031190212
-
Characterizations of Hamiltonian geodesics in sub-Riemannian geometry
-
_, Characterizations of Hamiltonian geodesics in sub-Riemannian geometry. J. Dynam. Control Syst. 3 (1997), No. 3, 391-418.
-
(1997)
J. Dynam. Control Syst.
, vol.3
, Issue.3
, pp. 391-418
-
-
-
9
-
-
0002299746
-
The tangent space in sub-Riemannian geometry
-
A. Bellaïche, The tangent space in sub-Riemannian geometry. Progress in Math. 144 (1996).
-
(1996)
Progress in Math.
, vol.144
-
-
Bellaïche, A.1
-
10
-
-
0025465072
-
Graded approximations and controllability along a trajectory
-
R. M. Bianchini and G. Stefani, Graded approximations and controllability along a trajectory. SIAM J. Control Optim. 28 (1990), 903-924.
-
(1990)
SIAM J. Control Optim.
, vol.28
, pp. 903-924
-
-
Bianchini, R.M.1
Stefani, G.2
-
11
-
-
0027624864
-
Controllability along a trajectory: A variational approach
-
_, Controllability along a trajectory: a variational approach. SIAM J. Control Optim. 31 (1993), 900-927.
-
(1993)
SIAM J. Control Optim.
, vol.31
, pp. 900-927
-
-
-
12
-
-
34250951325
-
Über Systeme von linearen partiellen Differentialgleichungen erster Ordnung
-
W. L. Chow, Über Systeme von linearen partiellen Differentialgleichungen erster Ordnung. Math. Ann. 117 (1940), 98-105.
-
(1940)
Math. Ann.
, vol.117
, pp. 98-105
-
-
Chow, W.L.1
-
13
-
-
84972575110
-
Horizontal path spaces and Carnot-Carathéodory metrics
-
Z. Ge, Horizontal path spaces and Carnot-Carathéodory metrics. Pacific J. Math. 161 (1993), 255-286.
-
(1993)
Pacific J. Math.
, vol.161
, pp. 255-286
-
-
Ge, Z.1
-
14
-
-
0002299742
-
Carnot-Carathéodory spaces seen from within
-
M. Gromov, Carnot-Carathéodory spaces seen from within. Progress in Math. 144 (1996).
-
(1996)
Progress in Math.
, vol.144
-
-
Gromov, M.1
-
17
-
-
84972526602
-
On Carnot-Carathéodory metrics
-
J. Mitchell, On Carnot-Carathéodory metrics. Differ. Geom. 21 (1985), 33-45.
-
(1985)
Differ. Geom.
, vol.21
, pp. 33-45
-
-
Mitchell, J.1
-
18
-
-
0028546359
-
Geodesics which do not satisfy the geodesic equations
-
19994
-
R. Montgomery, Geodesics which do not satisfy the geodesic equations. SIAM J. Control Optim. 32 (19994), No. 6, 1605-1620.
-
SIAM J. Control Optim.
, vol.32
, Issue.6
, pp. 1605-1620
-
-
Montgomery, R.1
-
19
-
-
0000674734
-
Singular extremals on Lie groups
-
_, Singular extremals on Lie groups. Math. Control Signals Syst. (1994), No. 3, 217-234.
-
(1994)
Math. Control Signals Syst.
, Issue.3
, pp. 217-234
-
-
-
20
-
-
84972521620
-
Linear differential systems with singularities and an application to transitive Lie algebras
-
T. Nagano, Linear differential systems with singularities and an application to transitive Lie algebras. J. Math. Soc. Japan 18 (1966), 398-404.
-
(1966)
J. Math. Soc. Japan
, vol.18
, pp. 398-404
-
-
Nagano, T.1
-
21
-
-
0007286551
-
Abnormality of trajectory in sub-Riemannian structure
-
Banach Center Publ. Polish Academy of Sciences, Warszawa
-
F. Pelletier and L. Valere, Abnormality of trajectory in sub-Riemannian structure. In: Geometry in nonlinear control and differential inclusions, Banach Center Publ. Vol. 32, 301-317, Polish Academy of Sciences, Warszawa, 1995.
-
(1995)
Geometry in Nonlinear Control and Differential Inclusions
, vol.32
, pp. 301-317
-
-
Pelletier, F.1
Valere, L.2
-
22
-
-
0001962042
-
Any two points of a totaly nonholonomic space may be connected by an admissible line
-
P. K. Rashevsky, Any two points of a totaly nonholonomic space may be connected by an admissible line. Uch. Zap. Ped. Inst. im. Liebknechta, Ser. Phys. Math. 2 (1938), 83-94.
-
(1938)
Uch. Zap. Ped. Inst. im. Liebknechta, Ser. Phys. Math.
, vol.2
, pp. 83-94
-
-
Rashevsky, P.K.1
-
23
-
-
0023033736
-
On local controlability of a scalar-input system
-
Byrnes, Lindquist, eds., North Holland
-
G. Stefani, On local controlability of a scalar-input system. In: Theory and Application of Nonlinear Control Systems, Byrnes, Lindquist, eds., North Holland, 1986, 167-179.
-
(1986)
Theory and Application of Nonlinear Control Systems
, pp. 167-179
-
-
Stefani, G.1
-
24
-
-
84968475624
-
Orbits of families of vector fields and integrability of distributans
-
H. J. Sussmann, Orbits of families of vector fields and integrability of distributans. Trans. Am. Math. Soc. 180 (1973), 171-188.
-
(1973)
Trans. Am. Math. Soc.
, vol.180
, pp. 171-188
-
-
Sussmann, H.J.1
-
25
-
-
0342519713
-
Subanalyticity of the distance function for real analytic sub-Riemannian metrics on three dimensional manifolds
-
Rutgers
-
_, Subanalyticity of the distance function for real analytic sub-Riemannian metrics on three dimensional manifolds. Report SYCON-91-05a, Rutgers, 1991.
-
(1991)
Report SYCON-91-05a
-
-
-
26
-
-
0343824996
-
A cornucopia of four-dimensional abnormal sub-Riemnnian minimizers
-
_, A cornucopia of four-dimensional abnormal sub-Riemnnian minimizers. Progress in Math. 144 (1996)
-
(1996)
Progress in Math.
, vol.144
-
-
-
27
-
-
0003241547
-
Shortest paths for sub-Riemannian metrics of rank two distributions
-
W. S Liu and H. J. Sussmann, Shortest paths for sub-Riemannian metrics of rank two distributions. Mem. Am. Math. Soc. 564 (1995), p. 104.
-
(1995)
Mem. Am. Math. Soc.
, vol.564
, pp. 104
-
-
Liu, W.S.1
Sussmann, H.J.2
-
28
-
-
84966209819
-
An extension of the theorem of Nagano on transitive Lie agebras
-
H. J. Sussmann, An extension of the theorem of Nagano on transitive Lie agebras. Proc. Am. Math. Soc. 45 (1974), 349-356.
-
(1974)
Proc. Am. Math. Soc.
, vol.45
, pp. 349-356
-
-
Sussmann, H.J.1
-
29
-
-
0001315138
-
Subanalytic sets in the calculus of variations
-
M. Tamm, Subanalytic sets in the calculus of variations. Acta Math. 146 (1981), 167-199.
-
(1981)
Acta Math.
, vol.146
, pp. 167-199
-
-
Tamm, M.1
|