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Echo State Networks Simulation of SIR Distributed Control

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Artificial Intelligence and Soft Computing (ICAISC 2017)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 10245))

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Abstract

Echo State Networks (ESNs) have been shown to be effective for a number of tasks, including motor control, dynamic time series prediction, and memorising musical sequences. In this paper, we propose a new task of ESNs in order to solve distributed optimal control problems for systems governed by parabolic differential equations with discrete time delay using an adaptive critic designs. The optimal control problems are discretised by using a finite element method in time and space, then transcribed into a nonlinear programming problems. To find optimal controls and optimal trajectories ESNs adaptive critic designs are used to approximate co-state equations. The efficiency of our approach is demonstrated for a SIR distributed system to control the spread of diseases.

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Acknowledgment

The paper was worked out as a part of the solution of the scientific project KEGA 010UJS-4/2014.

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Authors and Affiliations

  1. Department of Informatics, Constantine the Philosopher University, Tr. A. Hlinku 1, 949 74, Nitra, Slovakia

    Tibor Kmet

  2. Department of Mathematics, Constantine the Philosopher University, Tr. A. Hlinku 1, 949 74, Nitra, Slovakia

    Maria Kmetova

Authors
  1. Tibor Kmet
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  2. Maria Kmetova
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Corresponding author

Correspondence to Tibor Kmet .

Editor information

Editors and Affiliations

  1. Częstochowa University of Technology, Częstochowa, Poland

    Leszek Rutkowski

  2. Częstochowa University of Technology, Częstochowa, Poland

    Marcin Korytkowski

  3. Częstochowa University of Technology, Częstochowa, Poland

    Rafał Scherer

  4. AGH University of Science and Technology, Kraków, Poland

    Ryszard Tadeusiewicz

  5. University of California, Berkeley, California, USA

    Lotfi A. Zadeh

  6. University of Louisville, Louisville, Kentucky, USA

    Jacek M. Zurada

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Kmet, T., Kmetova, M. (2017). Echo State Networks Simulation of SIR Distributed Control. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L., Zurada, J. (eds) Artificial Intelligence and Soft Computing. ICAISC 2017. Lecture Notes in Computer Science(), vol 10245. Springer, Cham. https://doi.org/10.1007/978-3-319-59063-9_8

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  • DOI: https://doi.org/10.1007/978-3-319-59063-9_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-59062-2

  • Online ISBN: 978-3-319-59063-9

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