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Volumn 37, Issue 2, 2008, Pages 469-490

Sufficient optimality conditions for a bang-singular extremal in the minimum time problem

Author keywords

Bang singular arc; Hamiltonian formalism; Minimum time; Second order sufficient conditions

Indexed keywords


EID: 62449204377     PISSN: 03248569     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (16)

References (22)
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    • AGRACHEV, A.A. and GAMKRELIDZE, R.V. (1997) Symplectic methods for optimization and control. B. Jacubczyk and W. Respondek, eds., Geometry of Feedback and Optimal Control. Pure and Applied Mathematics, Marcel Dekker, New York, 1-58.
  • 3
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    • AGRACHEV, A.A.1    STEFANI, G.2    ZEZZA, P.3
  • 4
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    • AGRACHEV, A.A., STEFANI, G. and ZEZZA, P. (1998B) Strong minima in optimal control. Proc. Steklov Inst. Math., 220, 4-26, translation from Tr. Mat. Inst. Steklova 220, 8-22.
    • AGRACHEV, A.A., STEFANI, G. and ZEZZA, P. (1998B) Strong minima in optimal control. Proc. Steklov Inst. Math., 220, 4-26, translation from Tr. Mat. Inst. Steklova 220, 8-22.
  • 5
    • 0041926724 scopus 로고    scopus 로고
    • AGRACHEV, A.A., STEFANI, G. and ZEZZA, P (2002) Strong Optimality for a Bang-Bang Trajectory. SIAM Journal on Control and Optimization 41-4, 991-1014.
    • AGRACHEV, A.A., STEFANI, G. and ZEZZA, P (2002) Strong Optimality for a Bang-Bang Trajectory. SIAM Journal on Control and Optimization 41-4, 991-1014.
  • 8
    • 85082242822 scopus 로고    scopus 로고
    • Optimal synthesis in the dodgem car problem
    • DMITRUK, A.V. (2007) Optimal synthesis in the dodgem car problem. Personal comunication.
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    • DMITRUK, A.V.1
  • 9
    • 0345925308 scopus 로고
    • Quadratic conditions for a weak minimum for singular regimes in optimal control problems. English transl
    • DMITRUK, A.V. (1977) Quadratic conditions for a weak minimum for singular regimes in optimal control problems. English transl., Soviet Math. Dokl., 18, 2.
    • (1977) Soviet Math. Dokl , vol.18 , pp. 2
    • DMITRUK, A.V.1
  • 10
    • 0007585641 scopus 로고
    • Quadratic conditions for a Pontryagin minimum in an optimal control problem, linear in the control, with a constraint on the control. English transl
    • DMITRUK, A.V. (1983) Quadratic conditions for a Pontryagin minimum in an optimal control problem, linear in the control, with a constraint on the control. English transl., Soviet Math. Dokl., 28, 2.
    • (1983) Soviet Math. Dokl , vol.28 , pp. 2
    • DMITRUK, A.V.1
  • 12
  • 13
    • 35148853137 scopus 로고
    • Sufficient Conditions for a Strong Minimum in Singular Control Problems
    • GARDNER MOYER, H. (1973) Sufficient Conditions for a Strong Minimum in Singular Control Problems. SIAM Journal on Control, 11 (4), 620-636.
    • (1973) SIAM Journal on Control , vol.11 , Issue.4 , pp. 620-636
    • GARDNER MOYER, H.1
  • 15
    • 85082248389 scopus 로고    scopus 로고
    • G0H, B .S. (1966) The second variation for singular Boiza problems. SIAM J. Control Optimization, 4, 309-325.
    • G0H, B .S. (1966) The second variation for singular Boiza problems. SIAM J. Control Optimization, 4, 309-325.
  • 16
    • 84972487915 scopus 로고
    • Applications of the theory of quadratic forms in Hilbert space to the calculus of variations
    • HESTENES, M . R. (1951) Applications of the theory of quadratic forms in Hilbert space to the calculus of variations. Pacific J. Math, 1, 525-581.
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    • HESTENES, M.R.1
  • 18
    • 85082247500 scopus 로고    scopus 로고
    • P0GGI0LINI, L. and STEFANI, G. (2006) Minimum time optimality of a partially singular arc: second order conditions. Proceedings of the 3rd Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control (LHMNLC'06). International Federation of Automatic Control (IFAC).
    • P0GGI0LINI, L. and STEFANI, G. (2006) Minimum time optimality of a partially singular arc: second order conditions. Proceedings of the 3rd Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control (LHMNLC'06). International Federation of Automatic Control (IFAC).
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    • STEFANI, G.1
  • 21
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.