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Theoretical Aspects of Constructing a Neurocontroller for Switched Systems

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Abstract

We consider the problem of stabilizing a switched linear system with slow switchings that cannot be observed. The solution is sought in the class of variable structure controllers. To ensure the operability of such a controller, it is necessary to construct a switching signal observer. As an observer, it is proposed to use a neural network. The theoretical aspects of adjusting such an observer are the subject of this paper.

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Funding

This work was supported by the Russian Science Foundation, project no. 22-21-00162.

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Authors and Affiliations

  1. Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang, 310005, China

    A. S. Fursov

  2. Lomonosov Moscow State University, Moscow, 119991, Russia

    A. S. Fursov & Yu. M. Mosolova

  3. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, 127051, Russia

    A. S. Fursov

Authors
  1. A. S. Fursov
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  2. Yu. M. Mosolova
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Corresponding authors

Correspondence to A. S. Fursov or Yu. M. Mosolova.

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Translated by V. Potapchouck

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Fursov, A.S., Mosolova, Y.M. Theoretical Aspects of Constructing a Neurocontroller for Switched Systems. Diff Equat 58, 1549–1557 (2022). https://doi.org/10.1134/S00122661220110106

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  • DOI: https://doi.org/10.1134/S00122661220110106

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