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Volumn 101, Issue 1-4, 2001, Pages 101-117

Mesh-Independence of the Lagrange-Newton Method for Nonlinear Optimal Control Problems and their Discretizations

Author keywords

Discretization; Generalized equations; Lagrange Newton method; Mesh independence; Nonlinear optimal control

Indexed keywords


EID: 0035596193     PISSN: 02545330     EISSN: 15729338     Source Type: Journal    
DOI: 10.1023/A:1010912305365     Document Type: Article
Times cited : (11)

References (14)
  • 2
    • 0001201545 scopus 로고
    • The Lagrange-Newton method for infinite-dimensional optimization problems
    • W. Alt, The Lagrange-Newton method for infinite-dimensional optimization problems, Numerical Functional Analysis and Optimization 11 (1990) 201-224.
    • (1990) Numerical Functional Analysis and Optimization , vol.11 , pp. 201-224
    • Alt, W.1
  • 3
    • 0003163629 scopus 로고    scopus 로고
    • Discretization and mesh-independence of Newton's method for generalized equations
    • Mathematical Programming with Data Perturbations V, ed. A.V. Fiacco, Dekker
    • W. Alt, Discretization and mesh-independence of Newton's method for generalized equations, in: Mathematical Programming with Data Perturbations V, ed. A.V. Fiacco, Lecture Notes in Pure and Applied Mathematics, Vol. 195 (Dekker, 1997) pp. 1-30.
    • (1997) Lecture Notes in Pure and Applied Mathematics , vol.195 , pp. 1-30
    • Alt, W.1
  • 4
  • 5
    • 0000981351 scopus 로고
    • The Lagrange-Newton method for state constrained optimal control problems
    • W. Alt and K. Malanowski, The Lagrange-Newton method for state constrained optimal control problems, Computational Optimization and Applications 4 (1995) 217-239.
    • (1995) Computational Optimization and Applications , vol.4 , pp. 217-239
    • Alt, W.1    Malanowski, K.2
  • 6
    • 0003256848 scopus 로고
    • Perturbations, Approximations and Sensitivity Analysis of Optimal Control Systems
    • Springer, Berlin
    • A.L. Dontchev, Perturbations, Approximations and Sensitivity Analysis of Optimal Control Systems, Lecture Notes in Control and Information Sciences, Vol. 52 (Springer, Berlin, 1983).
    • (1983) Lecture Notes in Control and Information Sciences , vol.52
    • Dontchev, A.L.1
  • 9
    • 0007159311 scopus 로고    scopus 로고
    • On Ritz type discretizations for optimal control problems
    • Proceedings of the 18th IFIP TC7 Conference on Systems Modelling and Optimization, eds. P. Kall, I. Lasiecka and M.P. Polis, Addison-Wesley, Longman
    • U. Felgenhauer, On Ritz type discretizations for optimal control problems, in: Proceedings of the 18th IFIP TC7 Conference on Systems Modelling and Optimization, eds. P. Kall, I. Lasiecka and M.P. Polis, Pitman Research Notes in Math. Ser. 396 (Addison-Wesley, Longman, 1999).
    • (1999) Pitman Research Notes in Math. Ser. , vol.396
    • Felgenhauer, U.1
  • 11
    • 0001620726 scopus 로고
    • Stability and sensitivity analysis of solutions to nonlinear optimal control problems
    • K. Malanowski, Stability and sensitivity analysis of solutions to nonlinear optimal control problems, Applied Mathematics and Optimization 32 (1995) 111-141.
    • (1995) Applied Mathematics and Optimization , vol.32 , pp. 111-141
    • Malanowski, K.1
  • 12
    • 0000463120 scopus 로고    scopus 로고
    • Convergence of approximations to nonlinear optimal control problems
    • Mathematical Programming with Data Perturbations V, ed. A. V. Fiacco, Dekker
    • K. Malanowski, C. Büskens and H. Maurer, Convergence of approximations to nonlinear optimal control problems, in: Mathematical Programming with Data Perturbations V, ed. A. V. Fiacco, Lecture Notes in Pure and Applied Mathematics, Vol. 195 (Dekker, 1997) pp. 253-284.
    • (1997) Lecture Notes in Pure and Applied Mathematics , vol.195 , pp. 253-284
    • Malanowski, K.1    Büskens And, C.2    Maurer, H.3
  • 13
    • 0030145422 scopus 로고    scopus 로고
    • Sensitivity analysis for parametric control problems with control-state constraints
    • K. Malanowski and H. Maurer, Sensitivity analysis for parametric control problems with control-state constraints, Computational Optimization and Applications 5 (1996) 253-283.
    • (1996) Computational Optimization and Applications , vol.5 , pp. 253-283
    • Malanowski, K.1    Maurer, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.