메뉴 건너뛰기




Volumn 27, Issue 3, 1998, Pages

Application of the classical implicit function theorem in sensitivity analysis of parametric optimal control

Author keywords

Differentiability of solutions; Implicit function theorem; Nonlinear ordinary differential equations; Parametric optimal control; State constraints

Indexed keywords


EID: 17744409891     PISSN: 03248569     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (4)

References (12)
  • 1
    • 0001496674 scopus 로고
    • Optimality, stability and covergence in nonlinear control
    • DONTCHEV, A.L., HAGER, W.W., POORE, A.B. and YANG, B. (1995) Optimality, stability and covergence in nonlinear control. Appl. Math. Optim., 31, 297-326.
    • (1995) Appl. Math. Optim. , vol.31 , pp. 297-326
    • Dontchev, A.L.1    Hager, W.W.2    Poore, A.B.3    Yang, B.4
  • 3
    • 0018468242 scopus 로고
    • Lipschitz continuity for constrained processes
    • HAGER, W.W. (1979) Lipschitz continuity for constrained processes. SIAM J. Contr. Optim., 17, 321-338.
    • (1979) SIAM J. Contr. Optim. , vol.17 , pp. 321-338
    • Hager, W.W.1
  • 4
    • 0029324375 scopus 로고
    • A survey of the maximum principle for optimal control problems with state constraints
    • HARTL, R.F., SETHI, S.P. and VICKSON, R.G. (1995) A survey of the maximum principle 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
  • 5
    • 0026680941 scopus 로고
    • Second order conditions and constraint qualifications in stability and sensitivity analysis of solutions to optimization problems in Hilbert spaces
    • MALANOWSKI, K. (1992) Second order conditions and constraint qualifications in stability and sensitivity analysis of solutions to optimization problems in Hilbert spaces. Appl. Math. Optim., 25, 51-79.
    • (1992) Appl. Math. Optim. , vol.25 , pp. 51-79
    • Malanowski, K.1
  • 6
    • 0001620726 scopus 로고
    • Stability and sensitivity of solutions to nonlinear optimal control Problems
    • MALANOWSKI, K. (1995) Stability and sensitivity of solutions to nonlinear optimal control Problems. Appl. Math. Optim., 32, 111-141.
    • (1995) Appl. Math. Optim. , vol.32 , pp. 111-141
    • Malanowski, K.1
  • 7
    • 0030145422 scopus 로고    scopus 로고
    • Sensitivity analysis for parametric optimal control problems with control-state constraints
    • MALANOWSKI, K. and MAURER, H. (1996) Sensitivity analysis for parametric optimal control problems with control-state constraints. Comp. Optim. Appl., 5, 253-283.
    • (1996) Comp. Optim. Appl. , vol.5 , pp. 253-283
    • Malanowski, K.1    Maurer, H.2
  • 8
    • 3042880113 scopus 로고    scopus 로고
    • Sensitivity analysis for optimal control problems subject to higher order state constraints
    • Preprint 16/97-N, Universität Münster
    • MALANOWSKI, K. and MAURER, H. (1997) Sensitivity analysis for optimal control problems subject to higher order state constraints. Angewandte Mathematik und Informatik, Preprint 16/97-N, Universität Münster.
    • (1997) Angewandte Mathematik und Informatik
    • Malanowski, K.1    Maurer, H.2
  • 9
    • 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
  • 10
    • 0019397127 scopus 로고
    • An augmented Lagrangian method for a class of convex optimal control problems
    • OUTRATA, J.V. and SCHINDLER, Z. (1981) An augmented Lagrangian method for a class of convex optimal control problems. Problems Control Inform Theory, 10, 67-81.
    • (1981) Problems Control Inform Theory , vol.10 , pp. 67-81
    • Outrata, J.V.1    Schindler, Z.2
  • 11
    • 0018977011 scopus 로고
    • Strongly regular generalized equations
    • ROBINSON, S.M. (1980) Strongly regular generalized equations. Math. Oper. Research, 5, 43-62.
    • (1980) Math. Oper. Research , vol.5 , pp. 43-62
    • Robinson, S.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.