@article{TIMM_2005_11_1_a0,
author = {E. S. Adyiullina and B. I. Anan'ev},
title = {Linear estimation for statistically uncertain systems},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {3--16},
year = {2005},
volume = {11},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2005_11_1_a0/}
}
E. S. Adyiullina; B. I. Anan'ev. Linear estimation for statistically uncertain systems. Trudy Instituta matematiki i mehaniki, Dynamical systems and control problems, Tome 11 (2005) no. 1, pp. 3-16. http://geodesic.mathdoc.fr/item/TIMM_2005_11_1_a0/
[1] Kalman R. E., Byusi R. S., “Novye rezultaty v lineinoi filtratsii i teorii predskazaniya”, Tekhnicheskaya mekhanika (sb. perevodov). Ser. D, 1961, no. 1, 123–136
[2] Krasovskii N. N., “K teorii upravlyaemosti i nablyudaemosti lineinykh dinamicheskikh sistem”, Prikl. matematika i mekhanika, 28:1 (1964), 3–14 | MR
[3] Johansen D. E., “Solution of a Linear Mean Square Estimation Problem when Process Statistics are Undefined”, IEEE Trans. Automat. Contr., 11 (1966), 20–30 | DOI
[4] Aleksandrov V. M., “Minimaksnyi podkhod k resheniyu zadachi obrabotki informatsii”, Izv. AN SSSR. Tekhn. kibernetika, 1966, no. 5, 124–136 | Zbl
[5] Irger D. S., “Ob optimalnoi filtratsii po minimaksnomu kriteriyu”, Izv. AN SSSR. Tekhn. kibernetika, 1966, no. 5, 137–144
[6] Kurzhanskii A. B., Upravlenie i nablyudenie v usloviyakh neopredelennosti, Nauka, M., 1977 | MR | Zbl
[7] Kats I. Ya., Kurzhanskii A. B., “Minimaksnaya mnogoshagovaya filtratsiya v statisticheski neopredelennykh situatsiyakh”, Avtomatika i telemekhanika, 1978, no. 11, 79–87 | MR | Zbl
[8] Kurzhanskii A. B., Khapalov A. Yu., “An Observation Theory for Distributed Parameter Systems”, Journal of Math. Systems, Estimation and Control, 1:4 (1991), 389–440 | MR
[9] Matasov A. I., Vvedenie v teoriyu garantiruyuschego otsenivaniya, Izd-vo MAI, M., 1999
[10] Digailova I. A., “Zadacha filtratsii so smeshannoi neopredelennostyu”, Izv. RAN. Teoriya i sistemy upravleniya, 2001, no. 5, 16–24 | MR | Zbl
[11] Ananev B. I., “Minimaksnye srednekvadratichnye otsenki v statisticheski neopredelennykh sistemakh”, Differents. uravneniya, 20:8 (1984), 1291–1297 | MR
[12] Ananev B. I., “Minimaksnaya lineinaya filtratsiya mnogoshagovykh protsessov s neopredelennymi raspredeleniyami vozmuschenii”, Avtomatika i telemekhanika, 1993, no. 10, 131–139 | MR
[13] Anan'ev B. I., “A Guaranteed Filtering Scheme for Hereditary Linear Systems”, Journal of Math. Systems, Estimation and Control, 8:3 (1998), 365–368 | MR
[14] Pytev Yu. P., “Psevdoobratnyi operator. Svoistva i primeneniya”, Matem. sbornik, 118(160):1(5) (1982), 19–49 | MR
[15] Pytev Yu. P., Metody matematicheskogo modelirovaniya izmeritelno-vychislitelnykh sistem, Fizmatlit, M., 2002 | MR
[16] Curtain R. F., Pritchard A. J., Infinite Dimensional Linear Systems Theory, Springer-Verlag, 1978 | MR | Zbl
[17] Rid M., Saimon B., Funktsionalnyi analiz. 1, Mir, M., 1977 | MR
[18] Shubin M. A., Psevdodifferentsialnye operatory i spektralnaya teoriya, Nauka, M., 1978 | MR
[19] Loran P.-Zh., Approksimatsiya i optimizatsiya, Mir, M., 1975
[20] Nirenberg L., Lektsii po nelineinomu funktsionalnomu analizu, Mir, M., 1977 | MR | Zbl
[21] Ioffe A. D., Tikhomirov V. M., Teoriya ekstremalnykh zadach, Nauka, M., 1974 | MR | Zbl