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Optimal Feedback Control in the Mathematical Model of Low Concentrated Aqueous Polymer Solutions

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Abstract

We consider the feedback control problem in the model of motion of low concentrated aqueous polymer solutions. We demonstrate the solvability of an approximating problem, using some a priori estimates and the topological degree theory. Then the convergence (in some generalized sense) of solutions of approximating problems to a solution of the given problem is proved. Moreover, we show the existence of a solution minimizing a given convex, lower semicontinuous functional.

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Authors and Affiliations

  1. Department of Algebra and Topological Methods of Analysis, Faculty of Mathematics, Voronezh State University, Voronezh, 394006, Russian Federation

    Victor G. Zvyagin

  2. Faculty of Mathematics, Voronezh State University, Voronezh, 394006, Russian Federation

    Mikhail V. Turbin

Authors
  1. Victor G. Zvyagin
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  2. Mikhail V. Turbin
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Corresponding author

Correspondence to Victor G. Zvyagin.

Additional information

Communicated by J.-C. Yao.

This work was partially supported by the RFBR grants 09-01-92429 and 10-01-00143.

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Zvyagin, V.G., Turbin, M.V. Optimal Feedback Control in the Mathematical Model of Low Concentrated Aqueous Polymer Solutions. J Optim Theory Appl 148, 146–163 (2011). https://doi.org/10.1007/s10957-010-9749-3

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  • DOI: https://doi.org/10.1007/s10957-010-9749-3

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