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Volumn 40, Issue 1-3, 2008, Pages 161-168

Second-order conditions in stability analysis for state constrained optimal control

Author keywords

Lipschitz stability of the solutions; Nonlinear ODEs; Parametric optimal control; Second order sufficient conditions; State constraints

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; LAGRANGE MULTIPLIERS; OPTIMIZATION; PROBLEM SOLVING;

EID: 38849180440     PISSN: 09255001     EISSN: 15732916     Source Type: Journal    
DOI: 10.1007/s10898-007-9188-3     Document Type: Conference Paper
Times cited : (11)

References (14)
  • 1
    • 0032026016 scopus 로고    scopus 로고
    • Lipschitzian stability for state constrained nonlinear optimal control
    • Dontchev A.L., Hager W.W. (1998). Lipschitzian stability for state constrained nonlinear optimal control. SIAM J. Control Optim. 36: 698-718
    • (1998) SIAM J. Control Optim. , vol.36 , pp. 698-718
    • Dontchev, A.L.1    Hager, W.W.2
  • 3
    • 0018468242 scopus 로고
    • Lipschitz continuity for constrained processes
    • Hager W.W. (1979). Lipschitz continuity for constrained processes. SIAM J. Control Optim. 17: 321-338
    • (1979) SIAM J. Control 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., 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
    • 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
    • 0037300841 scopus 로고    scopus 로고
    • On normality of Lagrange multipliers for state constrained optimal control problems
    • Malanowski K. (2003). On normality of Lagrange multipliers for state constrained optimal control problems. Optimization 52: 75-91
    • (2003) Optimization , vol.52 , pp. 75-91
    • Malanowski, K.1
  • 8
    • 33947104220 scopus 로고    scopus 로고
    • Sufficient optimality conditions in stability analysis for state-constrained optimal control
    • Malanowski K. (2007). Sufficient optimality conditions in stability analysis for state-constrained optimal control. Appl. Math. Optim. 55: 255-271
    • (2007) Appl. Math. Optim. , vol.55 , pp. 255-271
    • Malanowski, K.1
  • 9
    • 34547361278 scopus 로고    scopus 로고
    • Stability and sensitivity analysis linear-quadratic optimal control subject to state constraints
    • to be published
    • Malanowski, K.: Stability and sensitivity analysis linear-quadratic optimal control subject to state constraints. Optimization, to be published
    • Optimization
    • Malanowski, K.1
  • 10
    • 35348991377 scopus 로고    scopus 로고
    • Stability analysis for nonlinear optimal control subject to state constraints
    • to be published
    • Malanowski, K.: Stability analysis for nonlinear optimal control subject to state constraints. SIAM J. Optim. to be published
    • SIAM J. Optim.
    • Malanowski, K.1
  • 11
    • 0000570227 scopus 로고
    • First- and second-order sufficient optimality conditions in mathematical programming and optimal control
    • Maurer H. (1981). First- and second-order sufficient optimality conditions in mathematical programming and optimal control. Math. Program. Study 14: 163-177
    • (1981) Math. Program. Study , vol.14 , pp. 163-177
    • Maurer, H.1
  • 13
    • 0019397127 scopus 로고
    • An augmented Lagrangian method for a class of convex optimal control problems
    • Outrata J.V., Schindler Z. (1980). An augmented Lagrangian method for a class of convex optimal control problems. Probl. Control Inf. Theory 10: 67-81
    • (1980) Probl. Control Inf. Theory , vol.10 , pp. 67-81
    • Outrata, J.V.1    Schindler, Z.2
  • 14
    • 0018977011 scopus 로고
    • Strongly regular generalized equations
    • Robinson S.M. (1980). Strongly regular generalized equations. Math. Oper. Res. 5: 43-62
    • (1980) Math. Oper. Res. , vol.5 , pp. 43-62
    • Robinson, S.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.