메뉴 건너뛰기




Volumn 16, Issue 4, 2004, Pages 278-296

Optimal control on Riemannian manifolds by interpolation

Author keywords

Ljustternik Schnirelman theory; Morse theory; Riemannian polynomials

Indexed keywords

CONTROL THEORY; INTERPOLATION; MOTION PLANNING; POLYNOMIALS; PROBLEM SOLVING; ROBOTICS; VARIATIONAL TECHNIQUES;

EID: 2342593307     PISSN: 09324194     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00498-003-0139-3     Document Type: Article
Times cited : (31)

References (23)
  • 2
    • 26144442780 scopus 로고    scopus 로고
    • Geometric control methods for nonlinear systems and robotic applications
    • PhD thesis. Division of Optimization and Systems Theory, Department of Mathematics, Royal Institute of Technology, Stockholm, Sweden
    • Altafini C (2001) Geometric Control Methods for Nonlinear Systems and Robotic Applications. PhD thesis. Division of Optimization and Systems Theory, Department of Mathematics, Royal Institute of Technology, Stockholm, Sweden
    • (2001)
    • Altafini, C.1
  • 3
    • 0002175497 scopus 로고
    • Nonholonomic mechanical control systems
    • Bloch AM, Crouch P (1995) Nonholonomic mechanical control systems. SIAM J Control Optim 33:126-148
    • (1995) SIAM J Control Optim , vol.33 , pp. 126-148
    • Bloch, A.M.1    Crouch, P.2
  • 5
    • 0012191496 scopus 로고    scopus 로고
    • The geometry of cubic polynomials on Riemannian manifolds
    • PhD thesis in Pure Mathematics. University of Coimbra, Portugal
    • Camarinha M (1996) The Geometry of Cubic Polynomials on Riemannian Manifolds. PhD thesis in Pure Mathematics. University of Coimbra, Portugal
    • (1996)
    • Camarinha, M.1
  • 7
  • 8
    • 0001261818 scopus 로고
    • The dynamic interpolation problem on Riemannian manifolds, Lie groups and symmetric spaces
    • Crouch P, Silva Leite F (1995) The dynamic interpolation problem on Riemannian manifolds, Lie groups and symmetric spaces. J Dynam Control Systems 1(2):177-202
    • (1995) J Dynam Control Systems , vol.1 , Issue.2 , pp. 177-202
    • Crouch, P.1    Silva Leite, F.2
  • 9
    • 36749110206 scopus 로고
    • The differential geometric structure of general mechanical systems from the Lagrangian point of view
    • Herman R (1982) The differential geometric structure of general mechanical systems from the Lagrangian point of view. J Math Phys 23:2077-2089
    • (1982) J Math Phys , vol.23 , pp. 2077-2089
    • Herman, R.1
  • 14
    • 0035480339 scopus 로고    scopus 로고
    • On the Banach differentiable structure for sets of maps with non-compact domains
    • Piccione P, Tausk DV (2001) On the Banach differentiable structure for sets of maps with non-compact domains. Nonlinear Anal 46: 245-265
    • (2001) Nonlinear Anal , vol.46 , pp. 245-265
    • Piccione, P.1    Tausk, D.V.2
  • 16
    • 0001156234 scopus 로고
    • Homotopy theory of infinite dimensional manifolds
    • Palais R (1966) Homotopy theory of infinite dimensional manifolds. Topology 5:1-16
    • (1966) Topology , vol.5 , pp. 1-16
    • Palais, R.1
  • 20
    • 0003915091 scopus 로고
    • Critical point theory and submanifold geometry
    • Springer-Verlag, Berlin Lecture Notes in Mathematics
    • Palais R, Terng Ch-L (1988) Critical Point Theory and Submanifold Geometry. Springer-Verlag, Berlin Lecture Notes in Mathematics, v. 1353
    • (1988) , vol.1353
    • Palais, R.1    Terng, C.-L.2
  • 21
    • 0000230784 scopus 로고
    • Category of loop spaces of open subsets in Euclidean spaces
    • Fadell E, Husseini S (1991) Category of loop spaces of open subsets in Euclidean spaces. Nonlinear Anal TMA 17:1153-1161
    • (1991) Nonlinear Anal TMA , vol.17 , pp. 1153-1161
    • Fadell, E.1    Husseini, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.