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Optimization of the boundary control by a displacement or by an elastic force on one end of a string under a model nonlocal boundary condition

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Abstract

An explicit analytic expression is obtained for optimal boundary controls exercised on one end of a string by a displacement or by an elastic force under a model nonlocal boundary condition of one of four types.

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References

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Authors and Affiliations

  1. Moscow State University, Moscow, 119991, Russia

    V. A. Il’in

  2. Steklov Mathematical Institute, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991, Russia

    V. A. Il’in

Authors
  1. V. A. Il’in
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Correspondence to V. A. Il’in.

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Original Russian Text © V.A. Il’in, 2010, published in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2010, Vol. 268, pp. 124–136.

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Il’in, V.A. Optimization of the boundary control by a displacement or by an elastic force on one end of a string under a model nonlocal boundary condition. Proc. Steklov Inst. Math. 268, 117–129 (2010). https://doi.org/10.1134/S0081543810010104

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  • DOI: https://doi.org/10.1134/S0081543810010104

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