메뉴 건너뛰기




Volumn 2, Issue , 2004, Pages 1806-1811

A discrete maximum principle for solving optimal control problems

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONSTRAINT THEORY; FUNCTIONS; HAMILTONIANS; INTEGRATION; NONLINEAR EQUATIONS; PROBLEM SOLVING; THEOREM PROVING;

EID: 14344251761     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2004.1430309     Document Type: Conference Paper
Times cited : (41)

References (18)
  • 2
    • 0002613860 scopus 로고    scopus 로고
    • Six lectures on the geometric integration
    • ed. R. DeVore, A. Iserles, E. Sli. Cambridge University Press
    • R. McLachlan and R. Quispel, "Six lectures on the geometric integration," in Foundations of Computational Mathematics, ed. R. DeVore, A. Iserles, E. Sli. Cambridge University Press, 2001, pp. 155-210.
    • (2001) Foundations of Computational Mathematics , pp. 155-210
    • McLachlan, R.1    Quispel, R.2
  • 3
    • 84959193128 scopus 로고    scopus 로고
    • Discrete mechanics and variational integrators
    • J. E. Marsden and M. West, "Discrete mechanics and variational integrators," Acta Numerica, pp. 357-514, 2001.
    • (2001) Acta Numerica , pp. 357-514
    • Marsden, J.E.1    West, M.2
  • 5
    • 33746314863 scopus 로고
    • Symplectic integration of Hamiltonian systems
    • P. J. Channell and J. C. Scovel, "Symplectic integration of Hamiltonian systems," Nonlinearity, vol. 3, pp. 231-259, 1990.
    • (1990) Nonlinearity , vol.3 , pp. 231-259
    • Channell, P.J.1    Scovel, J.C.2
  • 6
    • 14344261771 scopus 로고
    • On the invariance of generating functions for symplectic transformations
    • Z. Ge and D. liu Wang, "On the invariance of generating functions for symplectic transformations," Differential geometry and its applications, vol. 5, pp. 59-69, 1995.
    • (1995) Differential Geometry and Its Applications , vol.5 , pp. 59-69
    • Ge, Z.1    Wang, D.L.2
  • 7
    • 0000008977 scopus 로고
    • Discrete versions of some classical integrable systems and factorization of matrix polynomials
    • J. Moser and A. P. Veselov, "Discrete versions of some classical integrable systems and factorization of matrix polynomials," Comm. Math. Phys., vol. 139, pp. 217-243, 1991.
    • (1991) Comm. Math. Phys. , vol.139 , pp. 217-243
    • Moser, J.1    Veselov, A.P.2
  • 8
    • 14344260647 scopus 로고    scopus 로고
    • Discrete variational principles and Hamilton-Jacobi theory for mechanical systems and optimal control problems
    • submitted
    • V. Guibout and A. Bloch, "Discrete variational principles and Hamilton-Jacobi theory for mechanical systems and optimal control problems," Physica D, submitted, 2004.
    • (2004) Physica D
    • Guibout, V.1    Bloch, A.2
  • 9
    • 0031210701 scopus 로고    scopus 로고
    • Mechanical integrators derived from a discrete variational principle
    • J. M. Wendlandt and J. E. Marsden, "Mechanical integrators derived from a discrete variational principle," Physica D, vol. 106, pp. 223-246, 1997.
    • (1997) Physica D , vol.106 , pp. 223-246
    • Wendlandt, J.M.1    Marsden, J.E.2
  • 10
    • 0042931343 scopus 로고    scopus 로고
    • The symmetric representation of the rigid body equations and their discretization
    • A. M. Bloch, P. E. Crouch, J. E. Marsden, and T. S. Ratiu, "The symmetric representation of the rigid body equations and their discretization," Nonlinearity, vol. 15, pp. 1309-1341, 2002.
    • (2002) Nonlinearity , vol.15 , pp. 1309-1341
    • Bloch, A.M.1    Crouch, P.E.2    Marsden, J.E.3    Ratiu, T.S.4
  • 14
    • 0003014117 scopus 로고    scopus 로고
    • Time integration and discrete Hamiltonian systems
    • O. Gonzalez, "Time integration and discrete Hamiltonian systems," Journal of nonlinear science, vol. 6, pp. 449-467, 1996.
    • (1996) Journal of Nonlinear Science , vol.6 , pp. 449-467
    • Gonzalez, O.1
  • 15
    • 0009207683 scopus 로고
    • Time-discretization of Hamiltonian dynamical systems
    • Y. Shibberu, "Time-discretization of Hamiltonian dynamical systems," Computers Math. Applic., vol. 28, no. 10-12, pp. 123-145, 1994.
    • (1994) Computers Math. Applic. , vol.28 , Issue.10-12 , pp. 123-145
    • Shibberu, Y.1
  • 16
    • 14344250750 scopus 로고
    • The discrete variational approach to the Euler-Lagrange equation
    • Y. Wu, "The discrete variational approach to the Euler-Lagrange equation," Computers Math. Applic., vol. 20, no. 8, pp. 63-75, 1987.
    • (1987) Computers Math. Applic. , vol.20 , Issue.8 , pp. 63-75
    • Wu, Y.1
  • 17
    • 0042946751 scopus 로고
    • Theory of a class of discrete optimal control systems
    • B. W. Jordan and E. Polak, "Theory of a class of discrete optimal control systems," Journal of Electronics and Control, vol. 17, pp. 697-711, 1964.
    • (1964) Journal of Electronics and Control , vol.17 , pp. 697-711
    • Jordan, B.W.1    Polak, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.