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Defining the asymptotics for one class of singularly perturbed problems of vibrational mechanics

  • Control of Systems
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Abstract

In this paper, a solution algorithm for the optimal control problem for the system with uncertain dynamics which is the asymptotics of the singularly perturbed system with fast oscillator is proposed.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russia

    E. A. Kolpakova & N. N. Subbotina

Authors
  1. E. A. Kolpakova
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  2. N. N. Subbotina
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Original Russian Text © E.A. Kolpakova, N.N. Subbotina, 2007, published in Avtomatika i Telemekhanika, 2007, No. 11, pp. 150–163.

This work was supported by the Russian Foundation for Basic Research, project no. 05-01-00609, the Russian Federation President Grant “State Support for Leading Scientific Schools,” project no. NSh-8512.2006.1, and Youth Scientific Grant, Ural Branch of the Russian Academy of Sciences, 2007.

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Kolpakova, E.A., Subbotina, N.N. Defining the asymptotics for one class of singularly perturbed problems of vibrational mechanics. Autom Remote Control 68, 2029–2041 (2007). https://doi.org/10.1134/S0005117907110112

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