-
1
-
-
0037987828
-
Geometric motion control for a kinematically redundant robotic chain: Application to a holonomic mobile manipulator
-
C. Altafini, Geometric motion control for a kinematically redundant robotic chain: Application to a holonomic mobile manipulator. J. Rob. Syst. 20 (2003) 211-227.
-
(2003)
J. Rob. Syst.
, vol.20
, pp. 211-227
-
-
Altafini, C.1
-
2
-
-
0003978095
-
Math. Methods of Classical Mechanics
-
2nd ed
-
V.I. Arnold, Math. methods of Classical Mechanics. 2nd ed., Grad. Texts Math. 60 (1989).
-
(1989)
Grad. Texts Math
, vol.60
-
-
Arnold, V.I.1
-
3
-
-
0038870730
-
Sur la courbure des metriques Riemanniennes invariantes des groupes de Lie et des espaces homogenes
-
L. Berard-Bergery, Sur la courbure des metriques Riemanniennes invariantes des groupes de Lie et des espaces homogenes. Ann. Sci. Ecole National Superior 11 (1978) 543.
-
(1978)
Ann. Sci. Ecole National Superior
, vol.11
, pp. 543
-
-
Berard-Bergery, L.1
-
4
-
-
0034245374
-
Controllability and motion algorithms for underactuates Lagrangian systems on Lie groups
-
F. Bullo, N. Leonard and A. Lewis, Controllability and motion algorithms for underactuates Lagrangian systems on Lie groups. IEEE Trans. Autom. Control 45 (2000) 1437-1454.
-
(2000)
IEEE Trans. Autom. Control
, vol.45
, pp. 1437-1454
-
-
Bullo, F.1
Leonard, N.2
Lewis, A.3
-
5
-
-
0032714958
-
Tracking for fully actuated mechanical systems: A geometric framework
-
F. Bullo and R. Murray, Tracking for fully actuated mechanical systems: a geometric framework. Automatica 35 (1999) 17-34.
-
(1999)
Automatica
, vol.35
, pp. 17-34
-
-
Bullo, F.1
Murray, R.2
-
6
-
-
0030402797
-
Second order optimality conditions for an higher order variational problem on a Riemannian manifold
-
Kobe, Japan, December
-
M. Camarinha, F. Silva Leite and P. Crouch, Second order optimality conditions for an higher order variational problem on a Riemannian manifold, in Proc. 35th Conf. on Decision and Control. Kobe, Japan, December (1996) 1636-1641.
-
(1996)
Proc. 35Th Conf. on Decision and Control
, pp. 1636-1641
-
-
Camarinha, M.1
Silva Leite, F.2
Crouch, P.3
-
7
-
-
0038421986
-
La geometrie des groupes de transformations
-
Gauthier-Villars, Paris, France
-
E. Cartan, La geometrie des groupes de transformations, in Œuvres completes 2, part I. Gauthier-Villars, Paris, France (1953) 673-792.
-
(1953)
Œuvres Completes 2
, pp. 673-792
-
-
Cartan, E.1
-
8
-
-
0002023531
-
Lagrangian reduction, the Euler-Poincare equations and semidirect products
-
H. Cendra, D. Holm, J. Marsden and T. Ratiu, Lagrangian reduction, the Euler-Poincare equations and semidirect products. Amer. Math. Soc. Transl. 186 (1998) 1-25.
-
(1998)
Amer. Math. Soc. Transl.
, vol.186
, pp. 1-25
-
-
Cendra, H.1
Holm, D.2
Marsden, J.3
Ratiu, T.4
-
9
-
-
0004259867
-
-
London Mathematical Society Lecture notes. Cambridge University Press, Cambridge, UK
-
M. Crampin and F. Pirani, Applicable differential geometry. London Mathematical Society Lecture notes. Cambridge University Press, Cambridge, UK (1986).
-
(1986)
Applicable Differential Geometry
-
-
Crampin, M.1
Pirani, F.2
-
10
-
-
0001261818
-
The dynamic interpolation problem on Riemannian manifolds, Lie groups and symmetric spaces
-
P.E. Crouch and F. Silva Leite, The dynamic interpolation problem on Riemannian manifolds, Lie groups and symmetric spaces. J. Dynam. Control Syst. 1 (1995) 177-202.
-
(1995)
J. Dynam. Control Syst.
, vol.1
, pp. 177-202
-
-
Crouch, P.E.1
Silva Leite, F.2
-
12
-
-
0003439976
-
-
Princeton University Press, Princeton
-
L. Eisenhart, Riemannian geometry. Princeton University Press, Princeton (1966).
-
(1966)
Riemannian Geometry
-
-
Eisenhart, L.1
-
13
-
-
0002406886
-
Geometric Control Theory
-
Cambridge University Press, Cambridge, UK
-
V. Jurdjevic, Geometric Control Theory. Cambridge Stud. Adv. Math. Cambridge University Press, Cambridge, UK (1996).
-
(1996)
Cambridge Stud. Adv. Math
-
-
Jurdjevic, V.1
-
16
-
-
0031143040
-
Configuration controllability of simple mechanical control systems
-
A. Lewis and R. Murray, Configuration controllability of simple mechanical control systems. SIAM J. Control Optim. 35 (1997) 766-790.
-
(1997)
SIAM J. Control Optim.
, vol.35
, pp. 766-790
-
-
Lewis, A.1
Murray, R.2
-
17
-
-
0000343395
-
Decompositions for control systems on manifolds with an affine connection
-
A. Lewis and R. Murray, Decompositions for control systems on manifolds with an affine connection. Syst. Control Lett. 31 (1997) 199-205.
-
(1997)
Syst. Control Lett.
, vol.31
, pp. 199-205
-
-
Lewis, A.1
Murray, R.2
-
18
-
-
0003610563
-
-
Cambridge University Press, Cambridge
-
J. Marsden, Lectures on Mechanics. Cambridge University Press, Cambridge (1992).
-
(1992)
Lectures on Mechanics
-
-
Marsden, J.1
-
19
-
-
0003643366
-
Introduction to mechanics and symmetry
-
Springer-Verlag, 2nd ed
-
J. Marsden and T. Ratiu, Introduction to mechanics and symmetry, Springer-Verlag, 2nd ed., Texts Appl. Math. 17 (1999).
-
(1999)
Texts Appl. Math.
, vol.17
-
-
Marsden, J.1
Ratiu, T.2
-
20
-
-
0001582143
-
Curvature of left invariant metrics on Lie groups
-
J. Milnor, Curvature of left invariant metrics on Lie groups. Adv. Math. 21 (1976) 293-329.
-
(1976)
Adv. Math.
, vol.21
, pp. 293-329
-
-
Milnor, J.1
-
23
-
-
0002629806
-
Invariant affine connections on homogeneous spaces
-
K. Nomizu, Invariant affine connections on homogeneous spaces. Amer. J. Math. 76 (1954) 33-65.
-
(1954)
Amer. J. Math.
, vol.76
, pp. 33-65
-
-
Nomizu, K.1
-
24
-
-
0029277611
-
Bezier curves on Riemannian manifolds and Lie groups with kinematic applications
-
F. Park and B. Ravani, Bezier curves on Riemannian manifolds and Lie groups with kinematic applications. ASME J. Mech. design 117 (1995) 36-40.
-
(1995)
ASME J. Mech. Design
, vol.117
, pp. 36-40
-
-
Park, F.1
Ravani, B.2
-
26
-
-
0032138442
-
On the generation of smooth three-dimensional rigid body motions
-
M. Zefran, V. Kumar and C. Croke, On the generation of smooth three-dimensional rigid body motions. IEEE Trans. Robot. Automat. 14 (1998) 576-589.
-
(1998)
IEEE Trans. Robot. Automat.
, vol.14
, pp. 576-589
-
-
Zefran, M.1
Kumar, V.2
Croke, C.3
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