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Practical Stability and Asymptotic Stability of Interval Fractional Discrete-Time Linear State-Space System

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Recent Advances in Automation, Robotics and Measuring Techniques

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 267))

Abstract

This paper presents the problems of robust practical stability and robust asymptotic stability of fractional-order discrete-time linear systems with uncertainty. It is supposed that the system matrix is the interval matrix and the fractional order ( satisfies 0 < α  < 1. Using Gershgorin’s theorem for the interval matrices and the matrix measure the robust stability conditions are given. The considerations are illustrated by numerical examples.

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Author information

Authors and Affiliations

  1. Faculty of Electrical Engineering, Bialystok University of Technology, Białystok, Poland

    Andrzej Ruszewski

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  1. Andrzej Ruszewski
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Correspondence to Andrzej Ruszewski .

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Editors and Affiliations

  1. Industrial Research Institute for Automation and Measurements PIAP, Warsaw, Poland

    Roman Szewczyk

  2. Industrial Research Institute for Automation and Measurements PIAP, Warsaw, Poland

    Cezary Zieliński

  3. Industrial Research Institute for Automation and Measurements PIAP, Warsaw, Poland

    Małgorzata Kaliczyńska

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Ruszewski, A. (2014). Practical Stability and Asymptotic Stability of Interval Fractional Discrete-Time Linear State-Space System. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds) Recent Advances in Automation, Robotics and Measuring Techniques. Advances in Intelligent Systems and Computing, vol 267. Springer, Cham. https://doi.org/10.1007/978-3-319-05353-0_22

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  • DOI: https://doi.org/10.1007/978-3-319-05353-0_22

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-05352-3

  • Online ISBN: 978-3-319-05353-0

  • eBook Packages: EngineeringEngineering (R0)

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