Geodesic
Necessary optimality conditions for singular controls
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 9, pp. 1506-1511 
Sh. Sh. Yusubov. Necessary optimality conditions for singular controls. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 9, pp. 1506-1511. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_9_a5/
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     title = {Necessary optimality conditions for singular controls},
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Voir la notice de l'article provenant de la source Math-Net.Ru

A definition of singular controls with respect to components is given that includes, in particular, the conventional definition. On the basis of this definition, new necessary optimiality conditions for singular controls with respect to components are derived for the processes governed by systems of ordinary differential equations.

[1] Pontryagin L. S., Boltyanskii V. G., Gamkrelidze R. V., Mischenko E. F., Matematicheskaya teoriya optimalnykh protsessov, Nauka, M., 1983 | MR | Zbl

[2] Rozonoer L. I., “Printsip maksimuma L. S. Pontryagina v teorii optimalnykh sistem. II”, Avtomatika i telemekhan., 1959, no. 11, 1441–1458

[3] Gabasov R., “K teorii neobkhodimykh uslovii optimalnosti osobykh upravlenii”, Dokl. AN SSSR, 183:2 (1968), 300–302 | Zbl

[4] Gabasov R., Kirillova F. M., Osobye optimalnye upravleniya, Nauka, M., 1973 | MR

[5] Gabasov R., Kirillova F. M., Mansimov K. B., Neobkhodimye usloviya optimalnosti vtorogo poryadka (obzor), Preprint No 30(155), Bel. gos. un-t, Minsk, 1982, 47 pp. | MR

[6] Vasilev F. P., Metody resheniya ekstremalnykh zadach, Nauka, M., 1981 | MR

[7] Yusubov Sh. Sh., Neobkhodimye usloviya optimalnosti dlya nekotorykh sistem, Preprint 15, BGU, Baku, 2006, 33 pp.