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On Linearizability Conditions for Non-autonomous Control Systems

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Advanced, Contemporary Control

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

Abstract

The paper deals with the problem of mappability of nonlinear non-autonomous control systems to linear non-autonomous systems with analytic matrices. We study the existence of non-local linearizing map of class \(C^2\) for nonlinear systems of class \(C^1\). In the paper K. Sklyar, On mappability of control systems to linear systems with analytic matrices. Systems Control Lett. 134 (2019), 104572, linearizability conditions were obtained under the additional requirement concerning existence of a non-local driftless form of the system. The goal of the present paper is to reduce this requirement.

The work was financially supported by Polish National Science Centre grant no. 2017/25/B/ST1/01892.

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Author information

Authors and Affiliations

  1. Institute of Mathematics, University of Szczecin, Wielkopolska 15, 70-451, Szczecin, Poland

    Katerina Sklyar

  2. V. N. Karazin Kharkiv National University, Svobody sqr. 4, Kharkiv, 61022, Ukraine

    Svetlana Ignatovich

Authors
  1. Katerina Sklyar
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  2. Svetlana Ignatovich
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Corresponding author

Correspondence to Katerina Sklyar .

Editor information

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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Sklyar, K., Ignatovich, S. (2020). On Linearizability Conditions for Non-autonomous Control Systems. 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_53

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