Geodesic
On necessary conditions of arbitrary order for optimality in a time-optimal problem
Sbornik. Mathematics, Tome 60 (1988) no. 1, pp. 255-268 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

This article is a study of sufficiently general necessary conditions for optimality in a ime-optimal problem with fixed endpoints and with control appearing in a linear manner. Bibliography: 6 titles. 
@article{SM_1988_60_1_a14,
     author = {A. I. Tret'yak},
     title = {On~necessary conditions of arbitrary order for optimality in a~time-optimal problem},
     journal = {Sbornik. Mathematics},
     pages = {255--268},
     year = {1988},
     volume = {60},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1988_60_1_a14/}
}
TY  - JOUR
AU  - A. I. Tret'yak
TI  - On necessary conditions of arbitrary order for optimality in a time-optimal problem
JO  - Sbornik. Mathematics
PY  - 1988
SP  - 255
EP  - 268
VL  - 60
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/SM_1988_60_1_a14/
LA  - en
ID  - SM_1988_60_1_a14
ER  - 
%0 Journal Article
%A A. I. Tret'yak
%T On necessary conditions of arbitrary order for optimality in a time-optimal problem
%J Sbornik. Mathematics
%D 1988
%P 255-268
%V 60
%N 1
%U http://geodesic.mathdoc.fr/item/SM_1988_60_1_a14/
%G en
%F SM_1988_60_1_a14
A. I. Tret'yak. On necessary conditions of arbitrary order for optimality in a time-optimal problem. Sbornik. Mathematics, Tome 60 (1988) no. 1, pp. 255-268. http://geodesic.mathdoc.fr/item/SM_1988_60_1_a14/

[1] Agrachev A. A., Vakhrameev S. A., “Khronologicheskie ryady i teorema Koshi–Kovalevskoi”, Itogi nauki i tekhn. Probl. geometrii, 12, VINITI AN SSSR, M., 1981, 165–189 | MR

[2] Agrachev A. A., Vakhrameev S. A., Gamkrelidze R. V., “Differentsialno-geometricheskie i teoretiko-gruppovye metody v teorii optimalnogo upravleniya”, Probl. geometrii, Itogi nauki i tekhn., 14, VINITI AN SSSR, M., 1983, 3–56 | MR

[3] Agrachev A. A., Gamkrelidze R. V., “Eksponentsialnoe predstavlenie potokov i khronologicheskoe ischislenie”, Matem. sb., 107(149) (1978), 467–532 | MR | Zbl

[4] Agrachev A. A., Gamkrelidze R. V., “Khronologicheskie algebry i nestatsionarnye vektornye polya”, Probl. geometrii, Itogi nauki i tekhn., II, VINITI AN SSSR, M., 1980, 135–176 | MR

[5] Agrachev A. A., Gamkrelidze R. V., “Printsip optimalnosti vtorogo poryadka dlya zadachi bystrodeistviya”, Matem. sb., 100(142) (1976), 610–643 | Zbl

[6] Krener A. J., “The high order maximal principle and its application to singular extremals”, SIAM J. Control, 15 (1977), 256–293 | DOI | MR | Zbl