Geodesic
A second-order necessary condition for optimality in the general nonlinear case
Sbornik. Mathematics, Tome 31 (1977) no. 4, pp. 493-506 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In this paper a second-order optimality condition is obtained for the general nonlinear problem with arbitrary boundary conditions and an integral-type minimized functional. Moreover, a second-order sufficient condition for controllability is derived. Bibliography: 3 titles. 
@article{SM_1977_31_4_a4,
     author = {A. A. Agrachev},
     title = {A~second-order necessary condition for optimality in the general nonlinear case},
     journal = {Sbornik. Mathematics},
     pages = {493--506},
     year = {1977},
     volume = {31},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1977_31_4_a4/}
}
TY  - JOUR
AU  - A. A. Agrachev
TI  - A second-order necessary condition for optimality in the general nonlinear case
JO  - Sbornik. Mathematics
PY  - 1977
SP  - 493
EP  - 506
VL  - 31
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/SM_1977_31_4_a4/
LA  - en
ID  - SM_1977_31_4_a4
ER  - 
%0 Journal Article
%A A. A. Agrachev
%T A second-order necessary condition for optimality in the general nonlinear case
%J Sbornik. Mathematics
%D 1977
%P 493-506
%V 31
%N 4
%U http://geodesic.mathdoc.fr/item/SM_1977_31_4_a4/
%G en
%F SM_1977_31_4_a4
A. A. Agrachev. A second-order necessary condition for optimality in the general nonlinear case. Sbornik. Mathematics, Tome 31 (1977) no. 4, pp. 493-506. http://geodesic.mathdoc.fr/item/SM_1977_31_4_a4/

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

[2] R. V. Gamkrelidze, G. L. Kharatishvili, “Ekstremalnye zadachi v lineinykh topologicheskikh prostranstvakh”, Izv. AN SSSR, seriya matem., 33 (1969), 781–839 | MR | Zbl

[3] R. V. Gamkrelidze, Osnovy optimalnogo upravleniya, izd-vo Tbil. un-ta, Tbilisi, 1975 | MR