Geodesic
On differential inclusions with additive generalized functions
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 1, pp. 233-243
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

Questions of the existence and parameter dependence of differential inclusions with generalized functions entering the right-hand side as additive terms are investigated. The problem of the complete controllability of a mechanical system with the use of discontinuous positional and pulse controls is considered as an application.
Keywords: differential inclusion, generalized function, discontinuous system, pulse control. 
@article{TIMM_2010_16_1_a17,
     author = {I. A. Finogenko},
     title = {On differential inclusions with additive generalized functions},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {233--243},
     year = {2010},
     volume = {16},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2010_16_1_a17/}
}
TY  - JOUR
AU  - I. A. Finogenko
TI  - On differential inclusions with additive generalized functions
JO  - Trudy Instituta matematiki i mehaniki
PY  - 2010
SP  - 233
EP  - 243
VL  - 16
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TIMM_2010_16_1_a17/
LA  - ru
ID  - TIMM_2010_16_1_a17
ER  - 
%0 Journal Article
%A I. A. Finogenko
%T On differential inclusions with additive generalized functions
%J Trudy Instituta matematiki i mehaniki
%D 2010
%P 233-243
%V 16
%N 1
%U http://geodesic.mathdoc.fr/item/TIMM_2010_16_1_a17/
%G ru
%F TIMM_2010_16_1_a17
I. A. Finogenko. On differential inclusions with additive generalized functions. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 1, pp. 233-243. http://geodesic.mathdoc.fr/item/TIMM_2010_16_1_a17/

[1] Filippov A. F., Differentsialnye uravneniya s razryvnoi pravoi chastyu, Nauka, M., 1985, 224 pp. | MR

[2] Vladimirov V. S., Obobschennye funktsii v matematicheskoi fizike, Nauka, M., 1979, 318 pp. | MR

[3] Aizerman M. A., Pyatnitskii E. S., “Osnovy teorii razryvnykh sistem. I”, Avtomatika i telemekhanika, 1974, no. 7, 33–47 ; “II”, no. 8, 39–61 | MR | MR

[4] Finogenko I. A., “Impulsnye upravleniya v sistemakh so skolzyaschimi rezhimami”, Dokl. RAN, 426:6 (2009), 744–746 | MR | Zbl

[5] Borisovich Yu. G., Gelman B. D., Myshkis A. D., Obukhovskii V. V., Vvedenie v teoriyu mnogoznachnykh otobrazhenii i differentsialnykh vklyuchenii, KomKniga, M., 2005, 215 pp. | MR

[6] Tolstonogov A. A., Finogenko I. A., “O resheniyakh differentsialnykh vklyuchenii s polunepreryvnoi snizu nevypukloi pravoi chastyu v banakhovom prostranstve”, Mat. sb., 125(167):2(10) (1984), 199–230 | MR | Zbl

[7] Finogenko I. A., “Ob uslovii pravoi lipshitsevosti dlya differentsialnykh uravnenii s kusochno-nepreryvnymi pravymi chastyami”, Differents. uravneniya, 41:5 (2005), 1068–1075 | MR

[8] Tolstonogov A. A., “O strukture mnozhestva reshenii differentsialnykh vklyuchenii v banakhovom prostranstve”, Mat. sb., 118(160):1 (1982), 3–18 | MR | Zbl

[9] Dykhta V. A., Samsonyuk O. N., Optimalnoe impulsnoe upravlenie, Fizmatlit, M., 2003, 255 pp. | Zbl

[10] Pyatnitskii E. S., “Sintez ierarkhicheskikh sistem upravleniya mekhanicheskimi i elektromekhanicheskimi ob'ektami na printsipe dekompozitsii. I”, Avtomatika i telemekhanika, 1989, no. 1, 87–98 ; “II”, no. 2, 57–71 | MR | MR

[11] Matyukhin V. I., Universalnye zakony upravleniya mekhanicheskimi sistemami, MAKS Press, M., 2001, 249 pp.

[12] Finogenko I. A., “O pravostoronnikh resheniyakh odnogo klassa razryvnykh sistem. I”, Avtomatika i telemekhanika, 2001, no. 9, 149–158 ; “II”, no. 11, 95–108 | MR | Zbl | MR

[13] Utkin V. I., Skolzyaschie rezhimy v zadachakh optimizatsii i upravleniya, Nauka, M., 1981, 267 pp. | MR | Zbl

[14] Ivanov A. P., Dinamika sistem s mekhanicheskimi soudareniyami, Nauka, M., 1997, 336 pp. | MR