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Volumn 1, Issue , 2002, Pages 728-732

Hamiltonian dynamical systems for convex problems of optimal control: Implications for the value function

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; DIFFERENTIAL EQUATIONS; FEEDBACK; HAMILTONIANS; LAGRANGE MULTIPLIERS; NONLINEAR CONTROL SYSTEMS; OPTIMIZATION;

EID: 0036996926     PISSN: 01912216     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (5)

References (14)
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    • Berkovitz, L.1
  • 2
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    • C. Byrnes. On the Riccati partial differential equation for nonlinear Bolza and Lagrange problems. J. Math. Systems Estim. Control, 8(1):1-54, 1998.
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    • Byrnes, C.1
  • 3
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    • Some characterizations of optimal trajectories in optimal control theory
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    • Cannarsa, P.1    Frankowska, H.2
  • 4
    • 21344456605 scopus 로고    scopus 로고
    • Conjugate points and shocks in nonlinear optimal control
    • N. Caroff and H. Frankowska. Conjugate points and shocks in nonlinear optimal control. Trans. Amer. Math. Soc. 348(8):3133-3153, 1996.
    • (1996) Trans. Amer. Math. Soc. , vol.348 , Issue.8 , pp. 3133-3153
    • Caroff, N.1    Frankowska, H.2
  • 7
    • 0034458920 scopus 로고    scopus 로고
    • Extended Hamilton-Jacobi characterization of value functions in optimal control
    • G.N. Galbraith. Extended Hamilton-Jacobi characterization of value functions in optimal control. SIAM J. Control Optim., 39(1):281-305, 2001.
    • (2001) SIAM J. Control Optim. , vol.39 , Issue.1 , pp. 281-305
    • Galbraith, G.N.1
  • 8
    • 4243819695 scopus 로고    scopus 로고
    • Regularity of the optimal feedback and the value function in convex problems of optimal control
    • submitted
    • R. Goebel. Regularity of the optimal feedback and the value function in convex problems of optimal control. submitted.
    • Goebel, R.1
  • 9
    • 0004330070 scopus 로고    scopus 로고
    • Convex optimal control problems with smooth Hamiltonians
    • submitted
    • R. Goebel. Convex optimal control problems with smooth Hamiltonians. submitted.
    • Goebel, R.1
  • 10
    • 0037005477 scopus 로고    scopus 로고
    • Generalized conjugacy in Hamilton-Jacobi theory for fully convex Lagrangians
    • R. Goebel, and R.T. Rockafellar. Generalized conjugacy in Hamilton-Jacobi theory for fully convex Lagrangians. J. Convex Anal., 9(1), 2002.
    • (2002) J. Convex Anal. , vol.9 , Issue.1
    • Goebel, R.1    Rockafellar, R.T.2
  • 11
    • 0014863723 scopus 로고
    • Conjugate convex functions in optimal control and the calculus of variations
    • R.T. Rockafellar. Conjugate convex functions in optimal control and the calculus of variations. J. Math. Anal. Appl., 32:174-222, 1970.
    • (1970) J. Math. Anal. Appl. , vol.32 , pp. 174-222
    • Rockafellar, R.T.1
  • 12
    • 84972555015 scopus 로고
    • Generalized Hamiltonian equations for convex problems of Lagrange
    • R.T. Rockafellar. Generalized Hamiltonian equations for convex problems of Lagrange. Pacific J. Math., 33(2):411-427, 1970.
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    • Rockafellar, R.T.1
  • 13
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    • Linear-quadratic programming and optimal control
    • R.T. Rockafellar. Linear-quadratic programming and optimal control. SIAM J. Control Optim., 25(3):781-814, 1987.
    • (1987) SIAM J. Control Optim. , vol.25 , Issue.3 , pp. 781-814
    • Rockafellar, R.T.1
  • 14
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    • Convexity in Hamilton-Jacobi theory, 1: Dynamics and duality
    • R.T. Rockafellar and P.R. Wolenski. Convexity in Hamilton-Jacobi theory, 1: Dynamics and duality. SIAM J. Control Optim., 39(5):1323-1350, 2000.
    • (2000) SIAM J. Control Optim. , vol.39 , Issue.5 , pp. 1323-1350
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.