메뉴 건너뛰기




Volumn 102, Issue 1, 1999, Pages 97-110

Regularity properties of optimal controls with application to discrete approximation

Author keywords

Discretization methods; Lipschitz continuity result; Optimal control theory; Second order condition; Solution regularity

Indexed keywords

PROBLEM SOLVING;

EID: 0033246168     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021842412255     Document Type: Article
Times cited : (4)

References (15)
  • 1
    • 0030194741 scopus 로고    scopus 로고
    • An a priori estimate for discrete approximations in nonlinear optimal control
    • DONTCHEV, A. L., An A Priori Estimate for Discrete Approximations in Nonlinear Optimal Control, SIAM Journal on Control and Optimization, Vol. 34, pp. 1315-1328, 1996.
    • (1996) SIAM Journal on Control and Optimization , vol.34 , pp. 1315-1328
    • Dontchev, A.L.1
  • 2
    • 0000463120 scopus 로고    scopus 로고
    • Convergence of approximations to nonlinear control problems
    • Mathematical Programming with Data Perturbation, Edited by A. V. Fiacco, Marcel Dekker, New York, New York
    • MALANOWSKI, K., BÜSKENS, C., and MAURER, H., Convergence of Approximations to Nonlinear Control Problems, Mathematical Programming with Data Perturbation, Edited by A. V. Fiacco, Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, New York, New York, Vol. 195, pp. 253-284, 1997.
    • (1997) Lecture Notes in Pure and Applied Mathematics , vol.195 , pp. 253-284
    • Malanowski, K.1    Büskens, C.2    Maurer, H.3
  • 5
    • 0000893364 scopus 로고
    • Necessary conditions for a weak extremum in optimal control problems with mixed constraints of the inequality type
    • DUBOVITSKII, A. YA., and MILYUTIN, A. A., Necessary Conditions for a Weak Extremum in Optimal Control Problems with Mixed Constraints of the Inequality Type, USSR Computational Mathematics and Mathematical Physics, Vol. 8, pp. 725-779, 1968.
    • (1968) USSR Computational Mathematics and Mathematical Physics , vol.8 , pp. 725-779
    • Dubovitskii, A.Ya.1    Milyutin, A.A.2
  • 7
    • 0027590079 scopus 로고
    • Lipschitzian stability in nonlinear control and optimization
    • DONTCHEV, A. L., and HAGER, W. W., Lipschitzian Stability in Nonlinear Control and Optimization, SIAM Journal on Control and Optimization, Vol. 31, pp. 569-603, 1993.
    • (1993) SIAM Journal on Control and Optimization , vol.31 , pp. 569-603
    • Dontchev, A.L.1    Hager, W.W.2
  • 11
    • 0018468242 scopus 로고
    • Lipschitz continuity for constrained processes
    • HAGER, W. W., Lipschitz Continuity for Constrained Processes, SIAM Journal on Control and Optimization, Vol. 17, pp. 321-338, 1979.
    • (1979) SIAM Journal on Control and Optimization , vol.17 , pp. 321-338
    • Hager, W.W.1
  • 12
    • 0003024986 scopus 로고
    • Stability analysis of solutions to parametric optimal control problems
    • Enschede, Holland
    • MALANOWSKI, K., Stability Analysis of Solutions to Parametric Optimal Control Problems, Proceedings of the 4th Conference on Parametric Optimization and Related Topics, Enschede, Holland, 1995; Edited by J. Guddat, H. Th. Jongen, G. Still, and F. Twilt, Series Approximation and Optimization, Verlag Peter Lang, Frankfurt am Main, Germany, Vol. 9, pp. 227-244, 1996.
    • (1995) Proceedings of the 4th Conference on Parametric Optimization and Related Topics
    • Malanowski, K.1
  • 13
    • 0009150213 scopus 로고    scopus 로고
    • Verlag Peter Lang, Frankfurt am Main, Germany
    • MALANOWSKI, K., Stability Analysis of Solutions to Parametric Optimal Control Problems, Proceedings of the 4th Conference on Parametric Optimization and Related Topics, Enschede, Holland, 1995; Edited by J. Guddat, H. Th. Jongen, G. Still, and F. Twilt, Series Approximation and Optimization, Verlag Peter Lang, Frankfurt am Main, Germany, Vol. 9, pp. 227-244, 1996.
    • (1996) Series Approximation and Optimization , vol.9 , pp. 227-244
    • Guddat, J.1    Jongen, H.Th.2    Still, G.3    Twilt, F.4
  • 14
    • 0009229136 scopus 로고
    • Numerical optimality test for control problems
    • Enschede, Holland
    • FELGENHAUER, U., Numerical Optimality Test for Control Problems, Proceedings of the 4th Conference on Parametric Optimization and Related Topics, Enschede, Holland, 1995; Edited by J. Guddat, H. Th. Jongen, G. Still, and F. Twilt, Series Approximation and Optimization, Verlag Peter Lang, Frankfurt am Main, Germany, Vol. 9, pp. 85-101, 1996.
    • (1995) Proceedings of the 4th Conference on Parametric Optimization and Related Topics
    • Felgenhauer, U.1
  • 15
    • 0009150511 scopus 로고    scopus 로고
    • Verlag Peter Lang, Frankfurt am Main, Germany
    • FELGENHAUER, U., Numerical Optimality Test for Control Problems, Proceedings of the 4th Conference on Parametric Optimization and Related Topics, Enschede, Holland, 1995; Edited by J. Guddat, H. Th. Jongen, G. Still, and F. Twilt, Series Approximation and Optimization, Verlag Peter Lang, Frankfurt am Main, Germany, Vol. 9, pp. 85-101, 1996.
    • (1996) Series Approximation and Optimization , vol.9 , pp. 85-101
    • Guddat, J.1    Jongen, H.Th.2    Still, G.3    Twilt, F.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.