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Two-end observability of elastic vibrations in distributed and lumped parameter systems

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Abstract

The boundary observation problems (initial state reconstruction) of vibrations in objects with distributed and lumped parameters are solved. The vibrations in an object with distributed parameters are described by boundary value problems with boundary conditions of various types. An object with lumped parameters is described by a second-order ordinary differential equation.

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References

  1. V. O. Kononenko, Vibrating Systems with a Limited Power Supply (Nauka, Moscow, 1964) [in Russian].

    Google Scholar 

  2. A. A. Alifov and K. V. Frolov, Interaction of Nonlinear Vibrating Systems with Energy Sources (Nauka, Moscow, 1985) [in Russian].

    MATH  Google Scholar 

  3. A. I. Egorov, “Control of Elastic Vibrations,” Dokl. Akad. Nauk Ukr. SSR, Ser. A., No. 5, 60–63 (1986).

  4. A. I. Egorov, Fundamentals of Control Theory (Fizmatlit, Moscow, 2004) [in Russian].

    Google Scholar 

  5. A. I. Egorov and L. N. Znamenskaya, “Boundary Observability of Elastic Vibrations of Coupled Objects with Distributed and Lumped Parameters,” Avtom. Telemekh., No. 2, 95–102 (2007).

  6. A. I. Egorov and L. N. Znamenskaya, “Two-End Controllability of Elastic Vibrations of Systems with Distributed and Lumped Parameters,” Zh. Vychisl. Mat. Mat. Fiz. 46, 2032–2044 (2006) [Comput. Math. Math. Phys. 46, 1940–1952 (2006)].

    MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia

    L. N. Znamenskaya

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  1. L. N. Znamenskaya
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Original Russian Text © L.N. Znamenskaya, 2007, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2007, Vol. 47, No. 6, pp. 944–958.

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Znamenskaya, L.N. Two-end observability of elastic vibrations in distributed and lumped parameter systems. Comput. Math. and Math. Phys. 47, 900–914 (2007). https://doi.org/10.1134/S0965542507060024

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  • DOI: https://doi.org/10.1134/S0965542507060024

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