-
1
-
-
1542342394
-
On the minimum time problem for driftless left-invariant control systems on SO(3)
-
1902999 1034.49015 10.3934/cpaa.2002.1.285
-
U. Boscain Y. Chitour 2002 On the minimum time problem for driftless left-invariant control systems on SO(3) Commun. Pure Appl. Anal. 1 285 312 1902999 1034.49015 10.3934/cpaa.2002.1.285
-
(2002)
Commun. Pure Appl. Anal.
, vol.1
, pp. 285-312
-
-
Boscain, U.1
Chitour, Y.2
-
2
-
-
85083136476
-
Time optimal synthesis for left-invariant control systems on SO(3)
-
to appear
-
Boscain U. and Chitour Y. Time optimal synthesis for left-invariant control systems on SO(3),SIAM J. Control Optim., to appear.
-
SIAM J. Control Optim.
-
-
Boscain, U.1
Chitour, Y.2
-
6
-
-
0002587690
-
Kürzeste Wege und Totalkrümmung auf Flächen
-
1556908 0011.22501
-
S. Cohn-Vossen 1935 Kürzeste Wege und Totalkrümmung auf Flächen Compositio Math. 2 69 133 1556908 0011.22501
-
(1935)
Compositio Math.
, vol.2
, pp. 69-133
-
-
Cohn-Vossen, S.1
-
7
-
-
0013127839
-
Volumes of small balls on open manifolds: Lower bounds and examples
-
10.2307/2000936 961611 0709.53033
-
C. Croke H. Karcher 1988 Volumes of small balls on open manifolds: Lower bounds and examples Trans. Amer. Math. Soc. 309 753 762 10.2307/2000936 961611 0709.53033
-
(1988)
Trans. Amer. Math. Soc.
, vol.309
, pp. 753-762
-
-
Croke, C.1
Karcher, H.2
-
8
-
-
0000977157
-
On curves of minimal length with a constraint on average curvature and with prescribed initial and terminal positions and tangents
-
10.2307/2372560 89457 0098.35401
-
L. E. Dubins 1957 On curves of minimal length with a constraint on average curvature and with prescribed initial and terminal positions and tangents Amer. J. Math. 79 497 516 10.2307/2372560 89457 0098.35401
-
(1957)
Amer. J. Math.
, vol.79
, pp. 497-516
-
-
Dubins, L.E.1
-
9
-
-
51649203357
-
On subharmonic functions and differential geometry in the large
-
10.1007/BF02564570 94452 0080.15001
-
A. Huber 1957 On subharmonic functions and differential geometry in the large Comment. Math. Helv. 32 13 72 10.1007/BF02564570 94452 0080.15001
-
(1957)
Comment. Math. Helv.
, vol.32
, pp. 13-72
-
-
Huber, A.1
-
12
-
-
0016027255
-
A generalization of Chow's theorem and the Bang-Bang theorem to non-linear control problems
-
10.1137/0312005 383206 0243.93008
-
A. Krener 1974 A generalization of Chow's theorem and the Bang-Bang theorem to non-linear control problems SIAM J. Control 12 43 51 10.1137/0312005 383206 0243.93008
-
(1974)
SIAM J. Control
, vol.12
, pp. 43-51
-
-
Krener, A.1
-
13
-
-
0000739853
-
Contrôlabilité des systémes non linéaires
-
10.1137/0308042 271979 0207.15201
-
C. Lobry 1970 Contrôlabilité des systémes non linéaires SIAM J. Control Optim. 8 573 605 10.1137/0308042 271979 0207.15201
-
(1970)
SIAM J. Control Optim.
, vol.8
, pp. 573-605
-
-
Lobry, C.1
-
14
-
-
0016027128
-
Controllability of nonlinear systems on compact manifolds
-
10.1137/0312001 338881 0286.93006
-
C. Lobry 1974 Controllability of nonlinear systems on compact manifolds SIAM J. Control. Optim. 12 1 4 10.1137/0312001 338881 0286.93006
-
(1974)
SIAM J. Control. Optim.
, vol.12
, pp. 1-4
-
-
Lobry, C.1
-
15
-
-
0004514719
-
Dubins' problem in the hyperbolic plane using the open disc model, geometric control and nonholonomic mechanics, (Mexico City, 1996)
-
Amer. Math. Soc Providence, RI
-
Mittenhuber D. Dubins' problem in the hyperbolic plane using the open disc model, geometric control and nonholonomic mechanics, (Mexico City, 1996), 115-152,CMS Conf. Proc. 25, Amer. Math. Soc, Providence, RI, (1998).
-
(1998)
CMS Conf. Proc.
, pp. 115-152
-
-
Mittenhuber, D.1
-
16
-
-
84996129265
-
Dubins' problem is intrinsically three-dimensional
-
10.1051/cocv:1998100 1600103 0905.49019
-
D. Mittenhuber 1998 Dubins' problem is intrinsically three-dimensional ESAIM Control Optim. Calc. Var. 3 1 22 10.1051/cocv:1998100 1600103 0905.49019
-
(1998)
ESAIM Control Optim. Calc. Var.
, vol.3
, pp. 1-22
-
-
Mittenhuber, D.1
-
17
-
-
33847242397
-
Three-dimensional non-Euclidean Dubins' problem, Geometric control and non-holonomic mechanics, (Mexico City, 1996)
-
Amer. Math. Soc. Providence, RI
-
Monroy-Perez F. Three-dimensional non-Euclidean Dubins' problem, Geometric control and non-holonomic mechanics, (Mexico City, 1996), 153-181,CMS Conf. Proc. 25, Amer. Math. Soc., Providence, RI, (1998).
-
(1998)
CMS Conf. Proc.
, pp. 153-181
-
-
Monroy-Perez, F.1
-
18
-
-
0003654667
-
-
CRC Press Boca Raton, FL 0858.70001
-
Murray R. N., Li Z. X., and Sastry S. S.A Mathematical Introduction to Robotic Manipulation, CRC Press, Boca Raton, FL, (1994).
-
(1994)
A Mathematical Introduction to Robotic Manipulation
-
-
Murray, R.N.1
Li, Z.X.2
Sastry, S.S.3
-
19
-
-
84972492746
-
Proof of the soul conjecture of Cheeger and Gromoll
-
1285534 0818.53056
-
G. Perelman 1994 Proof of the soul conjecture of Cheeger and Gromoll J. Differential Geom. 40 209 212 1285534 0818.53056
-
(1994)
J. Differential Geom.
, vol.40
, pp. 209-212
-
-
Perelman, G.1
-
21
-
-
84868004546
-
The radius of injectivity of a complete open manifold of nonnegative curvature
-
451172
-
V. A. Sharafutdinov 1976 The radius of injectivity of a complete open manifold of nonnegative curvature Dokl. Akad. Nauk SSSR 231 46 48 451172
-
(1976)
Dokl. Akad. Nauk SSSR
, vol.231
, pp. 46-48
-
-
Sharafutdinov, V.A.1
-
22
-
-
33947242429
-
Dubins' problem on surfaces, II. Nonpositive curvature
-
to appear
-
Sigalotti M. and Chitour Y. Dubins' problem on surfaces, II. Nonpositive curvature,SIAM J. Control Optim., to appear.
-
SIAM J. Control Optim.
-
-
Sigalotti, M.1
Chitour, Y.2
-
23
-
-
0029486797
-
Shortest three-dimensional paths with a prescribed curvature bound
-
New Orleans, La
-
Sussmann H. J. Shortest three-dimensional paths with a prescribed curvature bound,Proc. IEEE CDC New Orleans, La, 3306-3312, (1995).
-
(1995)
Proc. IEEE CDC
, pp. 3306-3312
-
-
Sussmann, H.J.1
-
24
-
-
0003799587
-
Shortest paths for the Reeds-Shepp car: A worked out example of the use of geometric techniques in nonlinear optimal control
-
Sussmann H. J. and Tang G. Shortest paths for the Reeds-Shepp car: A worked out example of the use of geometric techniques in nonlinear optimal control, Rutgers Center for Systems and Control, Technical Report 91-10, (1991).
-
(1991)
Rutgers Center for Systems and Control, Technical Report 91-10
-
-
Sussmann, H.J.1
Tang, G.2
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