10
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Anwendung der dualitätstheorle auf probleme der optimalen steuerung III

&
Pages 255-275 | Received 01 Sep 1981, Published online: 27 Jun 2007

References

  • Benker , H. Upper and lower bounds for optimal control problems described by operator equations in Banach and Hilbert spaces . Proceedings of Banach Center Semester on Optimal Control . Warsaw .
  • Beniker , H. 1980 . On a general minimum norm optimal control problem in Banach and Hilbert spaces, Beiträge z . Analysis , 15 : 141 – 150 .
  • Benker , H. and Dietrich , H. 1979 . Anwendung der Dualitätstheorie auf Probleme der opti-malen Steuerung I und II . Math. Operationsforschung u. Statistik Ser. Optimization , 10 : 131 – 142 . 13 (1982)
  • Ekeland , I. and Temam , R. 1979 . Convex analysis and variational problems . Über-setzung , 3 russ
  • Gajewski , H. , Gröger , K. and Zacharias , K. 1974 . Nichtlineare Operatorgieichungen und Operatordifferentialgleichungen , Berlin : Akademie Verlag .
  • Müller , P.H. 1972 . Höhere Analysis I , Berlin : Akademic Verlag .
  • Rockafellar , R.T. 1974 . Augmented Lagkange multiplier function and duality in nonconvex programming . SIAM J. Control , 12 ( 2 ) : 268 – 285 .
  • Rockafellar , R.T. Solving a nonlinear programming problem by way of a dual problem . Istituto Nazionale di Alta Matematica, Symposia Matematica . Vol. XIX , pp. 135 – 160 .
  • Wiebzbicki , A.P. and Kurcyus , S. 1977 . Projection on a cone, penalty functionals and duality theory for problems with inequality constraints in Hilbert space . SIAM J. Control and Optim , 15 : 25 – 56 .
  • Zeidler , E. 1976 . Lokale und globale Verzweigungsresultate für Variationsungleichungen . Math. Nachr , 71 : 37 – 63 .
  • Zeidler , E. 1976 . Vorlesungen über nichtlineare Funktionalanalysis II , Leipzig : Teubner Verlag .
  • Toland , J.F. 1978 . Duality in Nonconvex Optimization . J. Mathem. Anal. Appl , 66 : 399 – 415 .
  • Tolahd , J.F. 1979 . A duality principle for non-convex optimisation and the calculus of variations . Arch. Rational Mech. Anal , 71 ( 1 ) : 41 – 61 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.