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Stabilizability of Linear Discrete Time-Varying Systems

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Advanced, Contemporary Control

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

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Abstract

For linear discrete time-varying systems we discuss the relation between stabilizability, controllability and finiteness of quadratic cost functional. The role of the existence of global and bounded solutions of the discrete time-varying Riccati equation for stabilizability is also explained.

The research presented here was done by authors as parts of the projects funded by the National Science Centre in Poland granted according to decision DEC-2017/25/B/ST7/02888 and Polish Ministry for Science and Higher Education funding for statutory activities 02/990/BK_19/0121.

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Authors and Affiliations

  1. Department of Automatic Control and Robotics, Silesian University of Technology, Akademicka 2A, 44-100, Gliwice, Poland

    Artur Babiarz & Adam Czornik

Authors
  1. Artur Babiarz
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  2. Adam Czornik
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Corresponding author

Correspondence to Artur Babiarz .

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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Babiarz, A., Czornik, A. (2020). Stabilizability of Linear Discrete Time-Varying 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_93

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