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The Approximate Synthesis of Optimal Control for Heterogeneous Discrete Systems with Intermediate Criteria

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Numerical Computations: Theory and Algorithms (NUMTA 2019)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11974))

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Abstract

We consider one of the classes of hybrid systems, heterogeneous discrete systems (HDSs). The mathematical model of an HDS is a two-level model, where the lower level represents descriptions of homogeneous discrete processes at separate stages and the upper (discrete) level connects these descriptions into a single process and controls the functioning of the entire system to ensure a minimum of functionality. In addition, each homogeneous subsystem has its own goal. A method of the approximate synthesis of optimal control is constructed on the basis of Krotov-type sufficient optimality conditions obtained for such a model in two forms. A theorem on the convergence of the method with respect to a function is proved, and an illustrative example is given.

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References

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Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences of RAS, 65 Profsoyuznaya Street, Moscow, 117997, Russia

    Olga Danilenko

  2. Ailamazyan Program Systems Institute of RAS, 4a Petra Pervogo Street, Perslavl-Zalessky, 152020, Russia

    Irina Rasina

Authors
  1. Olga Danilenko
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  2. Irina Rasina
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Corresponding author

Correspondence to Olga Danilenko .

Editor information

Editors and Affiliations

  1. University of Calabria, Rende, Italy

    Yaroslav D. Sergeyev

  2. University of Calabria, Rende, Italy

    Dmitri E. Kvasov

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Danilenko, O., Rasina, I. (2020). The Approximate Synthesis of Optimal Control for Heterogeneous Discrete Systems with Intermediate Criteria. In: Sergeyev, Y., Kvasov, D. (eds) Numerical Computations: Theory and Algorithms. NUMTA 2019. Lecture Notes in Computer Science(), vol 11974. Springer, Cham. https://doi.org/10.1007/978-3-030-40616-5_6

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  • DOI: https://doi.org/10.1007/978-3-030-40616-5_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-40615-8

  • Online ISBN: 978-3-030-40616-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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