Geodesic
The construction of optimal feedback from mathematical models with uncertainty
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 44 (2004) no. 2, pp. 265-286 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_2004_44_2_a6,
     author = {N. V. Balashevich and R. Gabasov and F. M. Kirillova},
     title = {The construction of optimal feedback from mathematical models with uncertainty},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {265--286},
     year = {2004},
     volume = {44},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_2_a6/}
}
TY  - JOUR
AU  - N. V. Balashevich
AU  - R. Gabasov
AU  - F. M. Kirillova
TI  - The construction of optimal feedback from mathematical models with uncertainty
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2004
SP  - 265
EP  - 286
VL  - 44
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_2_a6/
LA  - ru
ID  - ZVMMF_2004_44_2_a6
ER  - 
%0 Journal Article
%A N. V. Balashevich
%A R. Gabasov
%A F. M. Kirillova
%T The construction of optimal feedback from mathematical models with uncertainty
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2004
%P 265-286
%V 44
%N 2
%U http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_2_a6/
%G ru
%F ZVMMF_2004_44_2_a6
N. V. Balashevich; R. Gabasov; F. M. Kirillova. The construction of optimal feedback from mathematical models with uncertainty. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 44 (2004) no. 2, pp. 265-286. http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_2_a6/

[1] Nyuton Dzh. K., Guld L. A., Kaizer Dzh. F., Teoriya lineinykh sledyaschikh sistem, Fizmatgiz, M., 1961

[2] Hopkin A. M., “A phase plane approach to the design of saturating servomechanisms”, Trans. AIEE, 70:3 (1950)

[3] Feldbaum A. A., “O sinteze optimalnykh sistem s pomoschyu fazovogo prostranstva”, Avtomatika i telemekhan., 16:1 (1955), 43–49 | MR

[4] Balashevich N. V., Gabasov R., Kirillova F. M., “Chislennye metody programmnoi i pozitsionnoi optimizatsii lineinykh sistem upravleniya”, Zh. vychisl. matem. i matem. fiz., 40:6 (2000), 838–859 | MR | Zbl

[5] Feldbaum A. A., Osnovy teorii optimalnykh avtomaticheskikh sistem, Fizmatgiz, M., 1963 | MR

[6] Lening Dzh., Bettin R., Sluchainye protsessy v zadachakh avtomaticheskogo upravleniya, Izd-vo inostr. lit., M., 1958

[7] Pugachev B. C., Teoriya sluchainykh funktsii i ee primenenie k zadacham avtomaticheskogo upravleniya, Fizmatgiz, M., 1960 | MR

[8] Dub Dzh., Veroyatnostnye protsessy, Izd-vo inostr. lit-ry, M., 1956 | MR

[9] Witsenhausen H. S., “A minimax control problem for sampled linear systems”, IEEE Trans. Automat. Control. AC, 13:1 (1968) | MR

[10] Schweppe F. C., “Recursive state estimation: unknown but bounded errors and system inputs”, IEEE Trans. Automat. Control. AC, 13:1 (1968)

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

[12] Bellman R., Dinamicheskoe programmirovanie, Izd-vo inostr. lit., M., 1960 | MR

[13] Aizeks R., Differentsialnye igry, Mir, M., 1967 | MR

[14] Gabasov R., Dmitruk N. M., Kirillova F. M., “Optimizatsiya mnogomernykh sistem upravleniya s parallelepipednymi ogranicheniyami”, Avtomatika i telemekhan., 2002, no. 3, 3–26 | MR | Zbl

[15] Gabasov R., Kirillova F. M., Kostina E. A., “Zamykaemye obratnye svyazi po sostoyaniyu dlya optimizatsii neopredelennykh sistem upravleniya”, Avtomatika i telemekhan., 1996, no. 7, 121–130 ; No 8, 90–99 | MR | Zbl | MR | Zbl

[16] Dreyfus S. E., “Some types of optimal control of stochastic systems”, J. SIAM. Ser. A. Control, 1964, no. 2, 120–134 | MR | Zbl

[17] Alsevich V. V., Gabasov R., Glushenkov B. C., Optimizatsiya lineinykh ekonomicheskikh modelei, BGU, Minsk, 2000

[18] Balashevich N. V., Gabasov R., Kirillova F. M., “Stabilizatsiya dinamicheskikh sistem pri nalichii zapazdyvanii v kanale obratnoi svyazi”, Avtomatika i telemekhan., 1996, no. 6, 31–39 | MR | Zbl