Geodesic
A second order optimality principle for a time-optimal problem
Sbornik. Mathematics, Tome 29 (1976) no. 4, pp. 547-576 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In this paper, a general necessary optimality condition of second order is proved for a time-optimal problem. Necessary optimality conditions of second order are applied, in general, in studying singular optimal regimes which can not be found with the aid of the first-order necessary condition for optimality, i.e. with the aid of the Pontryagin maximum principle. Bibliography: 4 titles. 
@article{SM_1976_29_4_a6,
     author = {A. A. Agrachev and R. V. Gamkrelidze},
     title = {A~second order optimality principle for a~time-optimal problem},
     journal = {Sbornik. Mathematics},
     pages = {547--576},
     year = {1976},
     volume = {29},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1976_29_4_a6/}
}
TY  - JOUR
AU  - A. A. Agrachev
AU  - R. V. Gamkrelidze
TI  - A second order optimality principle for a time-optimal problem
JO  - Sbornik. Mathematics
PY  - 1976
SP  - 547
EP  - 576
VL  - 29
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/SM_1976_29_4_a6/
LA  - en
ID  - SM_1976_29_4_a6
ER  - 
%0 Journal Article
%A A. A. Agrachev
%A R. V. Gamkrelidze
%T A second order optimality principle for a time-optimal problem
%J Sbornik. Mathematics
%D 1976
%P 547-576
%V 29
%N 4
%U http://geodesic.mathdoc.fr/item/SM_1976_29_4_a6/
%G en
%F SM_1976_29_4_a6
A. A. Agrachev; R. V. Gamkrelidze. A second order optimality principle for a time-optimal problem. Sbornik. Mathematics, Tome 29 (1976) no. 4, pp. 547-576. http://geodesic.mathdoc.fr/item/SM_1976_29_4_a6/

[1] H. J. Kelley, R. E. Kopp, H. G. Moyer, “Singular extremals”, Topics in Optimization, Acad. Press, New York, 1967 | MR

[2] R. Gabasov, F. M. Kirillova, Osobye optimalnye upravleniya, izd-vo «Nauka», Moskva, 1973 | MR

[3] A. Krener, The high order maximal principle for singular extremals, preprint, Univ. of California, Davis, 1973

[4] A. Krener, The high order maximal principle and its application to singular extremals, preprint, Univ. of California, Davis, 1975 | MR