Voir la notice de l'article provenant de la source Math-Net.Ru
@article{FAA_1989_23_1_a0,
author = {V. N. Kolokoltsov and V. P. Maslov},
title = {Idempotent analysis as a tool of control theory and optimal {synthesis.~I}},
journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
pages = {1--14},
publisher = {mathdoc},
volume = {23},
number = {1},
year = {1989},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FAA_1989_23_1_a0/}
}
TY - JOUR AU - V. N. Kolokoltsov AU - V. P. Maslov TI - Idempotent analysis as a tool of control theory and optimal synthesis.~I JO - Funkcionalʹnyj analiz i ego priloženiâ PY - 1989 SP - 1 EP - 14 VL - 23 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FAA_1989_23_1_a0/ LA - ru ID - FAA_1989_23_1_a0 ER -
V. N. Kolokoltsov; V. P. Maslov. Idempotent analysis as a tool of control theory and optimal synthesis.~I. Funkcionalʹnyj analiz i ego priloženiâ, Tome 23 (1989) no. 1, pp. 1-14. http://geodesic.mathdoc.fr/item/FAA_1989_23_1_a0/
[1] Avdoshin S.M., Belov V.V., Maslov V.P., “Primenenie volnovykh i geometro-opticheskikh metodov v arkhitekture sovremennykh vychislitelnykh sistem”, UMN, 39:4 (1984), 108–109
[2] Avdoshin S.M., Belov V.V., Maslov V.P., Matematicheskie aspekty sinteza vychislitelnykh sred, Izd-vo MIEM, M., 1984
[3] Maslov V.P., “Quasilinear systems which are linear in some semimoduli”, Congres international sur les problemes hyperbolique (13–17 Janvier 1986, Saint-Etienne, France)
[4] Maslov V.P., “New superposition principle for optimisation problem”, Seminaire equation au derivee partielle. No 24, Paris, 1985–1986 | MR
[5] Maslov V.P., Asimptoticheskie metody resheniya psevdodifferentsialnykh uravnenii, Nauka, M., 1987 | MR
[6] Maslov V.P., “O novom printsipe superpozitsii dlya zadach optimizatsii”, UMN, 42:3 (1987), 39–48 | MR | Zbl
[7] Maslov V.P., “Novyi podkhod k obobschennym resheniyam nelineinykh sistem”, DAN SSSR, 292:1 (1987), 37–41 | MR | Zbl
[8] Maslov V.P., Chebotarev A.M., “Snos granichnykh uslovii i teoremy edinstvennosti dlya nelineinykh kraevykh zadach”, DAN SSSR, 289:1 (1986), 47–51 | MR | Zbl
[9] Kolokoltsov V.Ya., Maslov V.P., “Zadacha Koshi dlya odnorodnogo uravneniya Bellmana”, DAN SSSR, 296:4 (1987), 796–800 | MR
[10] Kolokoltsov V.N., Maslov V.P., “Obschii vid endomorfizmov v prostranstve nepreryvnykh funktsii so znacheniem v chislovom kommutativnom polukoltse (s operatsiei $\oplus=\max$)”, DAN SSSR, 295:2 (1987), 283–287 | MR
[11] Dudnikov P.I., Samborskii S.N., Endomorfizmy polumodulei nad polukoltsami s idempotentnoi operatsiei, Preprint In-ta matematiki AN USSR. 87.48, Kiev, 1987 | MR
[12] Avdoshin S.M., Belov V.V., Maslov V.P., Piterkin A.M., Optimizatsiya gibkikh proizvodstvennykh sistem, Izd-vo MIEM, M., 1987
[13] Voevodin V.V., Parallelnye struktury algoritmov i programm, Izd-vo OEM AN SSSR, M., 1987
[14] Kruzhkov S.N., Nelineinye uravneniya s chastnymi proizvodnymi (lektsii), ch. 2, Izd-vo MGU, M., 1970
[15] Crandall M.G., Lions P.L., “Viscosity solutions of Hamilton–Jacobi equations”, Trans. Amer. Math. Soc., 272, 1983, 1–40 | DOI | MR
[16] Evans L.C., “Some min-max Methods for the Hamilton–Jacobi Equation”, Indiana Univ. Math. J., 33:1 (1984), 31–51 | DOI | MR
[17] Furstenberg H., “Strict ergodicity and transformations of the torus”, Amer. J. Math., 83:4 (1961), 573–601 | DOI | MR | Zbl
[18] Ekland I., Temam P., Vypuklyi analiz i variatsionnye problemy, Mir, M., 1979 | MR
[19] aРомановский И.В. “Optimizatsiya statsionarnogo upravleniya diskretnym determinirovannym protsessom dinamicheskogo programmirovaniya”, Kibernetika, 1967, no. 2, 66–78
[20] Romanovskii I.V., “Asimptoticheskoe povedenie diskretnogo determinirovannogo protsessa s nepreryvnym mnozhestvom sostoyanii”, Optimalnoe planirovanie (Novosibirsk), 1967, no. 8, 71–93
[21] Gondran M., “Path algebra and algorithms”, Combinatirial Programm. Methods and applications, ed. by B. Roy, 1975, 137–148 | DOI | MR | Zbl