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Volumn 11, Issue 1, 2000, Pages 53-69

Optimization of discontinuous functions: A generalized theory of differentiation

Author keywords

Calculus; Nonsmooth; Optimal control; Optimization

Indexed keywords


EID: 0034553594     PISSN: 10526234     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1052623499354679     Document Type: Article
Times cited : (8)

References (11)
  • 1
    • 0027610930 scopus 로고
    • On solving discontinuous extremal problems
    • V. D. BATUKHTIN, On solving discontinuous extremal problems, J. Optim. Theory Appl., 77 (1993), pp. 575-589.
    • (1993) J. Optim. Theory Appl. , vol.77 , pp. 575-589
    • Batukhtin, V.D.1
  • 3
    • 0003225812 scopus 로고
    • Methods of dynamic and nonsmooth optimization
    • SIAM, Philadelphia
    • F. H. CLARKE, Methods of Dynamic and Nonsmooth Optimization, CBMS-NSF Regional Conf. Ser. Appl. Math. 57, SIAM, Philadelphia, 1989.
    • (1989) CBMS-NSF Regional Conf. Ser. Appl. Math. , vol.57
    • Clarke, F.H.1
  • 4
    • 0000596189 scopus 로고
    • Optimization and nonsmooth analysis
    • 2nd Ed., SIAM, Philadelphia
    • F. H. CLARKE, Optimization and Nonsmooth Analysis, 2nd ed., Classics in Appl. Math. 5, SIAM, Philadelphia, 1990.
    • (1990) Classics in Appl. Math. , vol.5
    • Clarke, F.H.1
  • 5
    • 0003239028 scopus 로고
    • Optimal control via nonsmooth analysis
    • AMS, Providence, RI
    • P. D. LOEWEN, Optimal Control via Nonsmooth Analysis, CRM Proc. Lecture Notes 2, AMS, Providence, RI, 1993.
    • (1993) CRM Proc. Lecture Notes , vol.2
    • Loewen, P.D.1
  • 6
    • 0041181086 scopus 로고    scopus 로고
    • Optimization of discontinuous functions and application to optimal control
    • A. Beghi, L. Finesso, and G. Picci, eds., Il Poligrafo, Padova, Italy
    • L. MOREAU AND D. AEYELS, Optimization of discontinuous functions and application to optimal control, in Proceedings of the 13th International Symposium on Mathematical Theory of Networks and Systems, A. Beghi, L. Finesso, and G. Picci, eds., Il Poligrafo, Padova, Italy, 1998, pp. 321-324.
    • (1998) Proceedings of the 13th International Symposium on Mathematical Theory of Networks and Systems , pp. 321-324
    • Moreau, L.1    Aeyels, D.2
  • 8
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, NJ
    • R. T. ROCKAFELLAR, Convex Analysis, Princeton University Press, Princeton, NJ, 1970.
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 10
    • 0028756746 scopus 로고
    • A strong version of the maximum principle under weak hypotheses
    • Orlando, FL, IEEE, Piscataway, NJ
    • H. J. SUSSMANN, A strong version of the maximum principle under weak hypotheses, in Proceedings of the 33rd Conference on Decision and Control, Orlando, FL, IEEE, Piscataway, NJ, 1994, pp. 1950-1956.
    • (1994) Proceedings of the 33rd Conference on Decision and Control , pp. 1950-1956
    • Sussmann, H.J.1
  • 11
    • 0001016695 scopus 로고
    • Optimization and controllability without differentiability assumptions
    • J. WARGA, Optimization and controllability without differentiability assumptions, SIAM J. Control Optim., 21 (1983), pp. 837-855.
    • (1983) SIAM J. Control Optim. , vol.21 , pp. 837-855
    • Warga, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.