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Stability preservation conditions for a two-layered heat transfer object closed by feedback

  • Nonlinear Systems
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Abstract

We find an estimate on the norm of the operator that describes the dynamics of a linear two-layered one-dimensional unilaterally bounded heat transfer object with nonperfect heat contact between the layers. Based on this estimate, we find a sufficient causality and stability condition for the closed system arising when the object is closed with feedback.

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References

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Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

    E. M. Solnechnyi & L. A. Cheremushkina

Authors
  1. E. M. Solnechnyi
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  2. L. A. Cheremushkina
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Correspondence to E. M. Solnechnyi.

Additional information

Original Russian Text © E.M. Solnechnyi, L.A. Cheremushkina, 2015, published in Avtomatika i Telemekhanika, 2015, No. 9, pp. 64–82.

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Solnechnyi, E.M., Cheremushkina, L.A. Stability preservation conditions for a two-layered heat transfer object closed by feedback. Autom Remote Control 76, 1566–1581 (2015). https://doi.org/10.1134/S0005117915090040

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  • DOI: https://doi.org/10.1134/S0005117915090040

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