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Volumn 29, Issue 2, 2011, Pages 505-522

Lipschitz continuity of optimal control and lagrange multipliers in a problem with mixed and pure state constraints

Author keywords

Lipschitz control; Necessary optimality conditions; Optimal control; Regularity

Indexed keywords


EID: 79954560378     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2011.29.505     Document Type: Conference Paper
Times cited : (7)

References (12)
  • 1
    • 61549140731 scopus 로고    scopus 로고
    • Second-order analysis for optimal control problems with pure state constraints and mixed control-state constraints
    • J. F. Bonnans and A. Hermant, Second-order analysis for optimal control problems with pure state constraints and mixed control-state constraints, Ann. I. H. Poincaŕe-Analyse Non Lińeaire, 26 (2009), 561-598.
    • (2009) Ann. I. H. Poincaŕe-Analyse Non Lińeaire , vol.26 , pp. 561-598
    • Bonnans, J.F.1    Hermant, A.2
  • 3
    • 0037480336 scopus 로고
    • Maximum principle for a general optimal control problem with state and regular mixed constraints
    • A. V. Dmitruk, Maximum principle for a general optimal control problem with state and regular mixed constraints, Comp. Math. and Modeling, 4 (1993), 364-377.
    • (1993) Comp. Math. and Modeling , vol.4 , pp. 364-377
    • Dmitruk, A.V.1
  • 4
    • 4944235424 scopus 로고    scopus 로고
    • Lipschitz Continuiuty of Optimal Controls for State Constrained Problems
    • G. N. Galbraith and R. B. Vinter, Lipschitz Continuiuty of Optimal Controls for State Constrained Problems, SIAM J. Control and Optimization, 42 (2003), 1727-1744.
    • (2003) SIAM J. Control and Optimization , vol.42 , pp. 1727-1744
    • Galbraith, G.N.1    Vinter, R.B.2
  • 5
    • 0018468242 scopus 로고
    • Lipschitz continuity for constrained processes
    • W. W. Hager, Lipschitz continuity for constrained processes, SIAM J. Control and Optimization, 17 (1979), 321-338.
    • (1979) SIAM J. Control and Optimization , vol.17 , pp. 321-338
    • Hager, W.W.1
  • 6
    • 0242627485 scopus 로고
    • On the regularity of solutions to optimal control problems for systems linear with respect to control variable
    • K. Malanowski, On the regularity of solutions to optimal control problems for systems linear with respect to control variable, Arch. Auto. i Telemech., 23 (1978), 227-241.
    • (1978) Arch. Auto. i Telemech. , vol.23 , pp. 227-241
    • Malanowski, K.1
  • 7
    • 0037300841 scopus 로고    scopus 로고
    • On normality of Lagrange multipliers for state constrained optimal control problems
    • DOI 10.1080/0233193021000058940
    • K. Malanowski, On normality of Lagrange multipliers for state constrained optimal control problems, Optimization, 52 (2003), 75-91. (Pubitemid 36357323)
    • (2003) Optimization , vol.52 , Issue.1 , pp. 75-91
    • Malanowski, K.1
  • 9
    • 0016027429 scopus 로고
    • A sufficient condition for continuity of optimal sets in mathematical programming
    • S. M. Robinson and R. H. Day, A sufficient condition for continuity of optimal sets in mathematical programming, J. Math. Anal. Appl., 45 (1974), 506-511.
    • (1974) J. Math. Anal. Appl. , vol.45 , pp. 506-511
    • Robinson, S.M.1    Day, R.H.2
  • 11
    • 33646743755 scopus 로고    scopus 로고
    • Regularity properties of optimal controls for problems with time-varying state and control constraints
    • DOI 10.1016/j.na.2005.07.041, PII S0362546X05008102
    • I. Shvartsman and R. B. Vinter, Regularity properties of optimal controls for state constrained problems with time-varying control constraints, Nonlinear Analysis: Theory, Methods and Applications, 65 (2006), 448-474. (Pubitemid 43744472)
    • (2006) Nonlinear Analysis, Theory, Methods and Applications , vol.65 , Issue.2 , pp. 448-474
    • Shvartsman, I.A.1    Vinter, R.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.