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Volumn 13, Issue 2, 2000, Pages 140-155

Elastic curves as solutions of Riemannian and sub-Riemannian control problems

Author keywords

[No Author keywords available]

Indexed keywords

INTERPOLATION; NONLINEAR SYSTEMS; OPTIMIZATION; PROBLEM SOLVING;

EID: 0033687223     PISSN: 09324194     EISSN: None     Source Type: Journal    
DOI: 10.1007/pl00009863     Document Type: Article
Times cited : (43)

References (17)
  • 3
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    • (1991) Proc. American Control Conference , pp. 1131-1137
    • Crouch, P.1    Leite, F.S.2
  • 4
    • 0001261818 scopus 로고
    • The dynamic interpolation problem on riemannian manifolds, lie groups and symmetric spaces
    • P. Crouch and F. Silva Leite, The Dynamic Interpolation Problem on Riemannian Manifolds, Lie Groups and Symmetric Spaces, J. Dynam. Control Systems, I, 2 (1995), 177-202.
    • (1995) J. Dynam. Control Systems , vol.1-2 , pp. 177-202
    • Crouch, P.1    Leite, F.S.2
  • 5
    • 0002813942 scopus 로고
    • On the geometry of the tangent bundle
    • P. Dombrowski, On the Geometry of the Tangent Bundle, J. Reine Angew. Math., 210 (1962). 73-88.
    • (1962) J. Reine Angew. Math. , vol.210 , pp. 73-88
    • Dombrowski, P.1
  • 7
    • 0000129806 scopus 로고
    • Curvature of the induced Riemannian metric on the tangent bundle of a Riemannian manifold
    • O. Kowalski, Curvature of the Induced Riemannian Metric on the Tangent Bundle of a Riemannian Manifold, J Reine Angew. Math., 250 (1971), 124-129.
    • (1971) J Reine Angew. Math. , vol.250 , pp. 124-129
    • Kowalski, O.1
  • 8
    • 0021434897 scopus 로고
    • Approximate joint trajectories for control of industrial robots along cartesian paths
    • C. Lui and J. Luh, Approximate Joint Trajectories for Control of Industrial Robots along Cartesian Paths, IEEE Trans. Systems Man Cybernet., 14 (1984), 444-450.
    • (1984) IEEE Trans. Systems Man Cybernet. , vol.14 , pp. 444-450
    • Lui, C.1    Luh, J.2
  • 11
    • 0002629806 scopus 로고
    • 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
  • 13
    • 0002667410 scopus 로고
    • Properties of Splines in tension
    • S. Pruess, Properties of Splines in Tension, J. Approx. Theory, 17 (1976), 86-96.
    • (1976) J. Approx. Theory , vol.17 , pp. 86-96
    • Pruess, S.1
  • 14
    • 84972576484 scopus 로고
    • On the differential geometry of tangent bundles of Riemannian manifolds, I
    • S. Sasaki, On the Differential Geometry of Tangent Bundles of Riemannian Manifolds, I, Tohôko Math. J., 10 (1958), 338-354.
    • (1958) Tohôko Math. J. , vol.10 , pp. 338-354
    • Sasaki, S.1
  • 15
    • 84972583682 scopus 로고
    • On the differential geometry of tangent bundles of Riemannian manifolds, II
    • S. Sasaki, On the Differential Geometry of Tangent Bundles of Riemannian Manifolds, II, Tohôko Math. J., 14 (1962), 146-155.
    • (1962) Tohôko Math. J. , vol.14 , pp. 146-155
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  • 16
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    • Two higher order variational problems on riemannian manifolds and the interpolation problem
    • F. Silva Leite, M. Camarinha, and P. Crouch, Two Higher Order Variational Problems on Riemannian Manifolds and the Interpolation Problem, Proc. Third European Control Conference, Roma, 1995, Vol. IV, pp. 3269-3274.
    • (1995) Proc. Third European Control Conference, Roma , vol.4 , pp. 3269-3274
    • Leite, F.S.1    Camarinha, M.2    Crouch, P.3
  • 17
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    • On global representations of the solutions of linear differential equations as a product of exponentials
    • J. Wei and E. Norman, On Global Representations of the Solutions of Linear Differential Equations as a Product of Exponentials, Proc. Amer. Math. Soc., 15 (1964), 327-334.
    • (1964) Proc. Amer. Math. Soc. , vol.15 , pp. 327-334
    • Wei, J.1    Norman, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.