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Feedback operator for a pseudoparabolic optimal control problem

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Abstract

The feedback operator of a linear pseudoparabolic problem with quadratic criterion is obtained by decoupling of the optimality condition. The feedback operator is shown to be related to the solution of a Riccati equation formulated in theB*-algebra of bounded linear operators onL 2(Ω). This approach shows that the linear feedback operator may be considered as a bounded operator fromL 2(Ω) intoH 10 (Ω). Finally, we give a theorem establishing the convergence behavior for the feedback operators for these problems as they formally approach an analogous problem of parabolic type.

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Authors and Affiliations

  1. Department of Mathematics and Energy Resources Center, University of Oklahoma, Norman, Oklahoma

    L. W. White (Assistant Professor)

Authors
  1. L. W. White
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Additional information

Communicated by L. D. Berkovitz

This work was supported in part by the National Science Foundation, Grant No. MCS-7902037.

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White, L.W. Feedback operator for a pseudoparabolic optimal control problem. J Optim Theory Appl 36, 277–288 (1982). https://doi.org/10.1007/BF00933834

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  • DOI: https://doi.org/10.1007/BF00933834

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