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Volumn 52, Issue 1, 2003, Pages 75-91

On normality of Lagrange multipliers for state constrained optimal control problems

Author keywords

Control and state constraints; Nonlinear systems; Normal Lagrange multipliers; Optimal control; Ordinary differential equations

Indexed keywords


EID: 0037300841     PISSN: 02331934     EISSN: None     Source Type: Journal    
DOI: 10.1080/0233193021000058940     Document Type: Article
Times cited : (33)

References (11)
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    • Hager, W.W.1
  • 3
    • 0016985875 scopus 로고
    • Lagrange duality theory for convex control problems
    • W.W. Hager and S.K. Mitter (1976). Lagrange duality theory for convex control problems. SIAM J. Contr. Optim., 14, 843-856.
    • (1976) SIAM J. Contr. Optim. , vol.14 , pp. 843-856
    • Hager, W.W.1    Mitter, S.K.2
  • 4
    • 0029324375 scopus 로고
    • A survey of the maximum principle for optimal control problems with state constraints
    • R.F. Hartl, S.P. Sethi and R.G. Vickson (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
    • 0017001951 scopus 로고
    • On existence and nonexistence of Lagrange multipliers in Banach spaces
    • S. Kurcyusz (1976). On existence and nonexistence of Lagrange multipliers in Banach spaces. J. Optim. Theory Appl., 20, 81-110.
    • (1976) J. Optim. Theory Appl. , vol.20 , pp. 81-110
    • Kurcyusz, S.1
  • 6
    • 0005704130 scopus 로고
    • Stability of solutions to convex problems of optimization
    • Springer-Verlag, Berlin
    • K.Malanowski (1987). Stability of Solutions to Convex Problems of Optimization, LNCIS 93. Springer-Verlag, Berlin.
    • (1987) LNCIS , vol.93
    • Malanowski, K.1
  • 7
    • 0002958234 scopus 로고
    • First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems
    • H. Maurer and J. Zowe (1979) First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems. Math. Programming, 16, 98-110.
    • (1979) Math. Programming , vol.16 , pp. 98-110
    • Maurer, H.1    Zowe, J.2
  • 9
    • 0016993914 scopus 로고
    • Stability theory for system of inequalities, Part II: Differentiable nonlinear systems
    • S.M. Robinson (1976) Stability theory for system of inequalities, Part II: differentiable nonlinear systems. SIAM J. Number. Analysis, 13, 487-513.
    • (1976) SIAM J. Number. Analysis , vol.13 , pp. 487-513
    • Robinson, S.M.1
  • 10
    • 0010820453 scopus 로고
    • Lagrange multipliers revisited: A contribution to nonlinear programming
    • Math.
    • M. Slater (1950). Lagrange multipliers revisited: a contribution to nonlinear programming. Cowles Commission Discussion Paper, Math., 403.
    • (1950) Cowles Commission Discussion Paper , pp. 403
    • Slater, M.1
  • 11
    • 0002800189 scopus 로고
    • Regularity and stability for the mathematical programming problem in Banach spaces
    • J. Zowe and S. Kurcyusz (1979) Regularity and stability for the mathematical programming problem in Banach spaces. Appl. Math. Optim., 5, 49-62.
    • (1979) Appl. Math. Optim. , vol.5 , pp. 49-62
    • Zowe, J.1    Kurcyusz, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.