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Volumn 46, Issue 8, 2005, Pages

Discrete vakonomic mechanics

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EID: 24344453366     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2008214     Document Type: Article
Times cited : (22)

References (30)
  • 2
    • 14344264662 scopus 로고    scopus 로고
    • Interdisciplinary Applied Mathematics (Springer, New York
    • Bloch, A., Non-holonomic Mechanics and Control, Interdisciplinary Applied Mathematics (Springer, New York, 2003).
    • (2003) Non-holonomic Mechanics and Control
    • Bloch, A.1
  • 4
    • 0014759217 scopus 로고
    • Discrete calculus of variations
    • Cadzow, J. A., " Discrete calculus of variations., " Int. J. Control 11, 393-407 (1970).
    • (1970) Int. J. Control , vol.11 , pp. 393-407
    • Cadzow, J.A.1
  • 5
    • 21844520986 scopus 로고
    • Comments on the presymplectic formalism and the theory of regular Lagrangians with constraints
    • Cariñena, J. F., and Rañada, M. F., " Comments on the presymplectic formalism and the theory of regular Lagrangians with constraints., " J. Phys. A 28, L91-L97 (1995).
    • (1995) J. Phys. A , vol.28
    • Cariñena, J.F.1    Rañada, M.F.2
  • 6
    • 0013302384 scopus 로고    scopus 로고
    • Geometric description of vakonomic and nonholonomic dynamics. Comparison of solutions
    • Cort́s, J., de León, M., Martín de Diego, D., and Martínez, S., " Geometric description of vakonomic and nonholonomic dynamics. Comparison of solutions., " SIAM J. Control Optim. 41, 1389-1412 (2003).
    • (2003) SIAM J. Control Optim. , vol.41 , pp. 1389-1412
    • Cort́s, J.1    De León, M.2    Martín De Diego, D.3    Martínez, S.4
  • 7
    • 0001016971 scopus 로고    scopus 로고
    • Vakonomic mechanics versus nonholonomic mechanics: A unified geometrical approach
    • de León, M., Marrero, J. C., and Martín de Diego, D., " Vakonomic mechanics versus nonholonomic mechanics: A unified geometrical approach., " J. Geom. Phys. 35, 126-144 (2000).
    • (2000) J. Geom. Phys. , vol.35 , pp. 126-144
    • De León, M.1    Marrero, J.C.2    Martín De Diego, D.3
  • 11
    • 0003425766 scopus 로고
    • Belfer Graduate School of Science, Yeshiva University, New York
    • Dirac, P. A. M., " Lecture on Quantum Mechanics., " Belfer Graduate School of Science, Yeshiva University, New York, 1964.
    • (1964) Lecture on Quantum Mechanics
    • Dirac, P.A.M.1
  • 12
    • 0000226055 scopus 로고
    • Presymplectic Lagrangian systems. I. The constraint algorithm and the equivalence theorem
    • Gotay, M., and Nester, J., " Presymplectic Lagrangian systems. I. The constraint algorithm and the equivalence theorem., " Ann. I.H.P. Phys. Theor. 30, 129-142 (1979).
    • (1979) Ann. I.H.P. Phys. Theor. , vol.30 , pp. 129-142
    • Gotay, M.1    Nester, J.2
  • 14
    • 0004168114 scopus 로고    scopus 로고
    • Cambridge Studies in Advanced Mathematics Vol. 52 (Cambridge University Press, Cambridge
    • Jurdjevic, V., Geometric Control Theory, Cambridge Studies in Advanced Mathematics Vol. 52 (Cambridge University Press, Cambridge, 1997).
    • (1997) Geometric Control Theory
    • Jurdjevic, V.1
  • 15
    • 0001730299 scopus 로고
    • New conservation laws in a neoclassical von Neumann model
    • Kataoka, H., and Hashimoto, H., " New conservation laws in a neoclassical von Neumann model., " J. Math. Econ. 36, 271-280 (1995).
    • (1995) J. Math. Econ. , vol.36 , pp. 271-280
    • Kataoka, H.1    Hashimoto, H.2
  • 16
    • 0000745696 scopus 로고
    • Realization of nonintegrable constraints in classical mechanics
    • Kozlov, V. V., " Realization of nonintegrable constraints in classical mechanics., " Dokl. Akad. Nauk SSSR 0002-3264 272, 550-554 (1983); Kozlov, V. V., Sov. Phys. Dokl. 28, 735-737 (1983).
    • (1983) Dokl. Akad. Nauk SSSR , vol.272 , pp. 550-554
    • Kozlov, V.V.1
  • 17
    • 0000698571 scopus 로고
    • Kozlov, V. V., " Realization of nonintegrable constraints in classical mechanics., " Dokl. Akad. Nauk SSSR 0002-3264 272, 550-554 (1983); Kozlov, V. V., Sov. Phys. Dokl. 28, 735-737 (1983).
    • (1983) Sov. Phys. Dokl. , vol.28 , pp. 735-737
    • Kozlov, V.V.1
  • 19
    • 0037410296 scopus 로고    scopus 로고
    • A connection theoretic approach to sub-Riemannian geometry
    • Langerock, B., " A connection theoretic approach to sub-Riemannian geometry., " J. Geom. Phys. 46, 203-230 (2003).
    • (2003) J. Geom. Phys. , vol.46 , pp. 203-230
    • Langerock, B.1
  • 20
    • 0001707439 scopus 로고
    • Variational principles for constrained systems: Theory and experiments
    • Lewis, A. D., and Murray, R. M., " Variational principles for constrained systems: Theory and experiments., " Int. J. Non-Linear Mech. 30, 793-815 (1995).
    • (1995) Int. J. Non-Linear Mech. , vol.30 , pp. 793-815
    • Lewis, A.D.1    Murray, R.M.2
  • 22
    • 0034347160 scopus 로고    scopus 로고
    • The geometrical theory of constraints applied to the dynamics of vakonomic mechanical systems. The vakonomic bracket
    • Martínez, S., Cort́s, J., and de León, M., " The geometrical theory of constraints applied to the dynamics of vakonomic mechanical systems. The vakonomic bracket., " J. Math. Phys. 41, 2090-2120 (2000).
    • (2000) J. Math. Phys. , vol.41 , pp. 2090-2120
    • Martínez, S.1    Cort́s, J.2    De León, M.3
  • 23
    • 0041906641 scopus 로고    scopus 로고
    • Symmetries in vakonomic dynamics. Applications to optimal control
    • Martínez, S., Cort́s, J., and de León, M., " Symmetries in vakonomic dynamics. Applications to optimal control., " J. Geom. Phys. 38, 343-365 (2001).
    • (2001) J. Geom. Phys. , vol.38 , pp. 343-365
    • Martínez, S.1    Cort́s, J.2    De León, M.3
  • 26
    • 0001129636 scopus 로고
    • Law of conservation of the capital-output ratio
    • Samuelson, P. A., " Law of conservation of the capital-output ratio., " Proc. Natl. Acad. Sci. U.S.A. 67, 1477-1479 (1970).
    • (1970) Proc. Natl. Acad. Sci. U.S.A. , vol.67 , pp. 1477-1479
    • Samuelson, P.A.1
  • 30
    • 0031210701 scopus 로고    scopus 로고
    • Mechanical integrators derived from a discrete variational principle
    • Wendlandt, J. M., and Marsden, J. E., " Mechanical integrators derived from a discrete variational principle., " Physica D 106, 223-246 (1997).
    • (1997) Physica D , vol.106 , pp. 223-246
    • Wendlandt, J.M.1    Marsden, J.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.