Geodesic
Zeros of holomorphic functions, and integral operators for observing dynamical systems
Sbornik. Mathematics, Tome 80 (1995) no. 2, pp. 445-465 Cet article a éte moissonné depuis la source Math-Net.Ru

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Conditions are obtained for observability, predictability, and stabilization of nonlinear dynamical systems with incomplete feedback in the case of analyticity in the phase variables and with utilization of integral observation operators. At the basis of the results obtained are properties of sets of common zeros of families of holomorphic functions and the technique of solving adjoint problems of control by linear distributed systems. 
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     title = {Zeros of holomorphic functions, and integral operators for observing dynamical systems},
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Yu. V. Zaika. Zeros of holomorphic functions, and integral operators for observing dynamical systems. Sbornik. Mathematics, Tome 80 (1995) no. 2, pp. 445-465. http://geodesic.mathdoc.fr/item/SM_1995_80_2_a9/

[1] Inoye Y., “On the observability of autonomous nonlinear systems”, J. Math. Anal. and Appl., 60:1 (1977), 236–247 | DOI | MR

[2] Starkov K. E., “Sintez funktsii nablyudeniya dlya nekotorykh klassov dinamicheskikh sistem”, Avtomatika i telemekh., 1982, no. 5, 90–97 | MR | Zbl

[3] Starkov K. E., “O vybore zamerov v vyrozhdennykh zadachakh nablyudeniya”, DAN SSSR, 301:3 (1988), 561–564 | MR | Zbl

[4] Kozerenko K. V., “O chisle zamerov”, DAN SSSR, 296:5 (1987), 1069–1071 | MR | Zbl

[5] Krasovskii N. N., Teoriya upravleniya dvizheniem, Nauka, M., 1968 | MR

[6] Kirin N. E., “K teorii metodov otsenivaniya”, Voprosy mekhaniki i protsessov upravleniya, no. 8, LGU, L., 1986, 118–125 | MR

[7] Zaika Yu. V., Kirin N. E., “Sopryazhennye zadachi identifikatsii dinamicheskikh sistem”, Differents. uravneniya, 24:5 (1988), 770–776 | MR | Zbl

[8] Nikolskii M. S., “Idealno nablyudaemye sistemy”, DAN SSSR, 191:6 (1970), 1224–1227 | MR | Zbl

[9] Erve M., Funktsii mnogikh kompleksnykh peremennykh, Mir, M., 1965 | MR

[10] Bokhner S., Martin U. T., Funktsii mnogikh kompleksnykh peremennykh, IL, M., 1951

[11] Chirka E. M., Kompleksnye analiticheskie mnozhestva, Nauka, M., 1985 | MR

[12] Krasovskii N. N., “O stabilizatsii neustoichivykh dvizhenii dopolnitelnymi silami pri nepolnoi obratnoi svyazi”, PMM, 27:4 (1963), 641–663 | MR | Zbl

[13] Kirin N. E., “Nepryamoe stabiliziruyuschee upravlenie po obratnoi svyazi”, Avtomatika i telemekh., 1991, no. 6, 40–46 | MR | Zbl

[14] Koddington E. A., Levinson N., Teoriya obyknovennykh differentsialnykh uravnenii, IL, M., 1958

[15] Zubov V. I., Lektsii po teorii upravleniya, Nauka, M., 1875 | MR

[16] Lankaster P., Teoriya matrits, Nauka, M., 1982 | MR

[17] Azanov M. V., Zaika Yu. V., Roslyakov A. P., Vychislitelnye metody resheniya zadach analiza i sinteza v teorii optimalnogo upravleniya, Izd-vo MAI, M., 1989