About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

First Page Preview
Outrata, Jiří V. ; Jarušek, Jiří
On Fenchel dual schemes in convex optimal control problems. (English). Kybernetika, vol. 18 (1982), issue 1, pp. 1-21
MSC: 35K40, 49D29, 49K15, 49K20, 90C25, 90C55, 93B05 | MR 679777 | Zbl 0487.49023
References:
[1] E. Asplund R. T. Rockafellar: Gradients of convex functions. Trans. Amer. Math. Society 189 (1969), 443-467. MR 0240621
[2] J. P. Aubin: Gradients généralisés de Clarke. Ann. Sci. Math. Québec 2 (1978), 197-252. MR 0516562 | Zbl 0411.49001
[3] I. Ekeland R. Temam: Analyse Convexe et Problèmes Variationnels. Dunod, Paris 1974. MR 0463993
[4] O. A. Ladyzhenskaya: Boundary Value Problems of Mathematical Physics. (in Russian). Nauka, Moscow 1973. MR 0599579
[5] C. Lemaréchal: Bundle methods in nonsmooth optimization. In: Proc. 1-st Workshop Nonsmooth Optimiz., Pergamon Press, Oxford 1978. MR 0537895
[6] C. Lemaréchal: Nonsmooth Optimization and Descent Methods. Inter. Inst, for Appl. Systems Analysis, RR-78-4, 1978. MR 0537890
[7] J. V. Outrata O. F. Kříž: An application of conjugate duality for numerical solution of continuous convex optimal control problems. Kybernetika 16 (1980), 6, 477-497. MR 0607289
[8] R. T. Rockafellar: Conjugate Duality and Optimization. SIAM/CBMS monograph series No. 16, SIAM Publications 1974. MR 0373611 | Zbl 0296.90036
[9] R. T. Rockafellar: Integrals which are convex functional. Pac. J. Math. 24 (1968), 525-539. MR 0236689
[10] R. T. Rockafellar: State constraints in convex control problems of Bolza. SIAM J. Control 10 (1972), 691-715. MR 0324505 | Zbl 0224.49003
Partner of
EuDML logo