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Extremal Problems for Infinite Order Parabolic Systems with Time-Varying Lags

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Advanced, Contemporary Control

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1196))

Abstract

Extremal problems for infinite order parabolic systems with time-varying lags are presented. An optimal boundary control problem for infinite order parabolic systems in which time-varying lags appear in the state equations and in the boundary conditions simultaneously is solved. The time horizon is fixed. Making use of Dubovicki-Milutin scheme, necessary and sufficient conditions of optimality for the Neumann problem with quadratic performance functionals and constrained control are derived.

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Acknowledgements

The research presented here was carried out within the research programme AGH University of Science and Technology, No. 16.16.120.773.

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Authors and Affiliations

  1. Institute of Automatics and Robotics, AGH University of Science and Technology, al. Mickiewicza 30, 30-059, Cracow, Poland

    Adam Kowalewski

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  1. Adam Kowalewski
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Correspondence to Adam Kowalewski .

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Editors and Affiliations

  1. Institute of Automatic Control, Lodz University of Technology, Lodz, Poland

    Andrzej Bartoszewicz

  2. Institute of Automatic Control, Lodz University of Technology, Lodz, Poland

    Jacek Kabziński

  3. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

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Kowalewski, A. (2020). Extremal Problems for Infinite Order Parabolic Systems with Time-Varying Lags. In: Bartoszewicz, A., Kabziński, J., Kacprzyk, J. (eds) Advanced, Contemporary Control. Advances in Intelligent Systems and Computing, vol 1196. Springer, Cham. https://doi.org/10.1007/978-3-030-50936-1_1

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