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THE RECONSTRUCTION OF IMPACT IN THE SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS

Annotation

A dynamic approach for constructing impact in the essentially nonlinear system of ordinary differential equations is proposed. At the same time, for its realization, additional conditions the system has to possess are specified.

Keywords

the dynamic regularization algorithm; inverse problems of dynamics

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UDC

517.935

Pages

1093-1096

References

1. Osipov Yu.S., Kryazhimskii A.V. Inverse problems for ordinary differential equations: dynamical solutions. London: Gordon and Breach, 1995. 2. Krasovskiy N.N. Upravlenie dinamicheskoy sistemoy. Zadacha o minimume garantirovannogo rezul'tata. M.: Nauka, 1985. 3. Vdovin A.Yu., Rubleva S.S. O garantirovannoy tochnosti protsedury dinamicheskogo vosstanovleniya upravleniya s ogranichennoy variatsiey v sisteme, zavisyashchey ot nego lineyno // Matematicheskie zametki. 2010. T. 87. Vyp. 3. S. 337-358. 4. Vdovin A.Yu., Rubleva S.S. Chislennyy metod postroeniya vozdeystviya v nelineynoy sisteme obyknovennykh differentsial'nykh uravneniy po netochnoy informatsii o ee fazovykh sostoyaniyakh // Vestnik Tambovskogo universiteta. Seriya Estestvennye i tekhnicheskie nauki. Tambov, 2015. T. 18. Vyp. 5. S. 2472-2473. 5. Vasil'eva A.B., Butuzov V.F. Asimptoticheskoe razlozhenie resheniy singulyarno vozmushchennykh uravneniy. M.: Nauka, 1973. 6. Lekomtsev A.V., Pimenov V.G. Poluyavnyy metod dlya chislennogo resheniya funktsional'no-differentsial'no-algebraicheskikh uravneniy // Izvestiya vysshikh uchebnykh zavedeniy. Matematika. 2009. № 5. S. 62-67.

Received

2015-05-05

Section of issue

Scientific articles

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