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Volumn 38, Issue 4, 2009, Pages 1021-1052

Revisiting the analysis of optimal control problems with several state constraints

Author keywords

Optimal control; Second order optimality conditions; Shooting algorithm; State constraints

Indexed keywords


EID: 77954478910     PISSN: 03248569     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper
Times cited : (24)

References (19)
  • 1
    • 48249135751 scopus 로고    scopus 로고
    • Well-posedness of the shooting algorithm for state constrained optimal control problems with a single constraint and control
    • BONNANS, J.F. and HERMANT, A. (2007) Well-posedness of the shooting algorithm for state constrained optimal control problems with a single constraint and control. SIAM J. Control Optimization 46 (4), 1398-1430.
    • (2007) SIAM J. Control Optimization , vol.46 , Issue.4 , pp. 1398-1430
    • Bonnans, J.F.1    Hermant, A.2
  • 2
    • 53349127747 scopus 로고    scopus 로고
    • Stability and sensitivity analysis for optimal control problems with a first-order state constraint
    • BONNANS, J.F. and HERMANT, A. (2008) Stability and sensitivity analysis for optimal control problems with a first-order state constraint. ESAIM: COCV 14 (4), 825-863.
    • (2008) ESAIM: COCV , vol.14 , Issue.4 , pp. 825-863
    • Bonnans, J.F.1    Hermant, A.2
  • 3
    • 46749121015 scopus 로고    scopus 로고
    • NO gap second order optimality conditions for optimal control problems with a single state constraint and control
    • Series B
    • BONNANS, J.F. and HERMANT, A. (2009A) NO gap second order optimality conditions for optimal control problems with a single state constraint and control. Mathematical Programming, Series B, 117, 21-50.
    • (2009) Mathematical Programming , vol.117 , pp. 21-50
    • Bonnans, J.F.1    Hermant, A.2
  • 4
    • 61549140731 scopus 로고    scopus 로고
    • Second-order analysis for optimal control problems with pure state constraints and mixed control-state constraints
    • BONNANS, J.F. and HERMANT, A. (2009B) Second-order analysis for optimal control problems with pure state constraints and mixed control-state constraints. Annals of I. H. P. - Nonlinear Analysis 26, 561-598.
    • (2009) Annals of I. H. P. - Nonlinear Analysis , vol.26 , pp. 561-598
    • Bonnans, J.F.1    Hermant, A.2
  • 6
    • 85003393986 scopus 로고
    • Optimal programming problems with inequality constraints I: Necessary conditions for extremal solutions
    • BRYSON, A.E., DENHAM, W.F. and DREYFUS, S.E. (1963) Optimal programming problems with inequality constraints I: necessary conditions for extremal solutions. AIAA Journal 1, 2544-2550.
    • (1963) AIAA Journal , vol.1 , pp. 2544-2550
    • Bryson, A.E.1    Denham, W.F.2    Dreyfus, S.E.3
  • 7
    • 0029324375 scopus 로고
    • A survey of the maximum principles for optimal control problems with state constraints
    • HARTL, R.F., SETHI, S.P. and VICKSON, R.G. (1995) A survey of the maximum principles for optimal control problems with state constraints. SIAM Review 37, 181-218.
    • (1995) SIAM Review , vol.37 , pp. 181-218
    • Hartl, R.F.1    Sethi, S.P.2    Vickson, R.G.3
  • 9
    • 70450197190 scopus 로고    scopus 로고
    • Stability analysis of optimal control problems with a second order state constraint
    • HERMANT, A. (2009A) Stability analysis of optimal control problems with a second order state constraint. SIAM J. Optimization 20 (1), 104-129.
    • (2009) SIAM J. Optimization , vol.20 , Issue.1 , pp. 104-129
    • Hermant, A.1
  • 10
    • 73349128102 scopus 로고    scopus 로고
    • Homotopy algorithm for optimal control problems with a second-order state constraint
    • DOI:10.1007/s00245-009-9076-y
    • HERMANT, A. (2009B) Homotopy algorithm for optimal control problems with a second-order state constraint. Applied Mathematics and Optimization, DOI:10.1007/s00245-009-9076-y.
    • (2009) Applied Mathematics and Optimization
    • Hermant, A.1
  • 11
    • 0004237334 scopus 로고
    • North-Holland Publishing Company, Amsterdam. Russian Edition: Nauka, Moscow, 1974
    • IOFFE, A.D., and TIHOMIROV, V.M. (1979) Theory of Extremal Problems. North-Holland Publishing Company, Amsterdam. Russian Edition: Nauka, Moscow, 1974.
    • (1979) Theory of Extremal Problems
    • Ioffe, A.D.1    Tihomirov, V.M.2
  • 12
    • 0000794342 scopus 로고
    • New necessary conditions of optimality for control problems with state-variable inequality contraints
    • JACOBSON, D.H., LELE, M.M. and SPEYER, J.L. (1971) New necessary conditions of optimality for control problems with state-variable inequality contraints. J. of Mathematical Analysis and Applications 35, 255-284.
    • (1971) J. of Mathematical Analysis and Applications , vol.35 , pp. 255-284
    • Jacobson, D.H.1    Lele, M.M.2    Speyer, J.L.3
  • 13
    • 35348991377 scopus 로고    scopus 로고
    • Stability analysis for nonlinear optimal control problems subject to state constraints
    • electronic
    • MALANOWSKI, K. (2007) Stability analysis for nonlinear optimal control problems subject to state constraints. SIAM J. Optim. 18 (3), 926-945 (electronic).
    • (2007) SIAM J. Optim. , vol.18 , Issue.3 , pp. 926-945
    • Malanowski, K.1
  • 14
    • 0032360653 scopus 로고    scopus 로고
    • Sensitivity analysis for state constrained optimal control problems
    • MALANOWSKI, K. and MAURER, H. (1998) Sensitivity analysis for state constrained optimal control problems. Discrete and Continuous Dynamical Systems 4, 241-272.
    • (1998) Discrete and Continuous Dynamical Systems , vol.4 , pp. 241-272
    • Malanowski, K.1    Maurer, H.2
  • 15
    • 0035634179 scopus 로고    scopus 로고
    • Sensitivity analysis for optimal control problems subject to higher order state constraints
    • Optimization with data perturbations, II
    • MALANOWSKI, K. and MAURER, H. (2001) Sensitivity analysis for optimal control problems subject to higher order state constraints. Ann. Oper. Res. 101, 43-73. Optimization with data perturbations, II.
    • (2001) Ann. Oper. Res. , vol.101 , pp. 43-73
    • Malanowski, K.1    Maurer, H.2
  • 17
    • 52849129653 scopus 로고    scopus 로고
    • On a certain family of optimal control problems with phase constraint
    • Pontryagin Conference, 1, Optimal Control (Moscow, 1998)
    • MILYUTIN, A.A. (2000) On a certain family of optimal control problems with phase constraint. J. Math. Sci. (New York), 100 (5), 2564-2571. Pontryagin Conference, 1, Optimal Control (Moscow, 1998).
    • (2000) J. Math. Sci. (New York) , vol.100 , Issue.5 , pp. 2564-2571
    • Milyutin, A.A.1
  • 18
    • 0003200501 scopus 로고
    • The derivation of cubic splines with obstacles by methods of optimization and optimal control
    • OPFER, G. and OBERLE, H.J. (1988) The derivation of cubic splines with obstacles by methods of optimization and optimal control. Numerische Mathematik 52, 17-31.
    • (1988) Numerische Mathematik , vol.52 , pp. 17-31
    • Opfer, G.1    Oberle, H.J.2
  • 19
    • 0019018216 scopus 로고
    • Junction phenomena for optimal control with statevariable inequality constraints of third order
    • ROBBINS, H.M. (1980) Junction phenomena for optimal control with statevariable inequality constraints of third order. J. of Optimization Theory and Applications 31, 85-99.
    • (1980) J. of Optimization Theory and Applications , vol.31 , pp. 85-99
    • Robbins, H.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.