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Recent Advances in Automation, Robotics and Measuring Techniques pp 45–54Cite as

Stability Analysis of Descriptor Continuous-Time Two-Term Linear Systems of Fractional Orders

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

Abstract

The stability problem of fractional continuous-time descriptor linear systems described by the state equation with two differential operators of fractional orders has been considered. Such systems are called the two-term systems. The analytic and frequency domain methods for stability checking of the system with commensurate orders of fractional derivatives have been given. The frequency domain method is based on the Argument Principle and it is simple to apply. The considerations are illustrated by numerical example.

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Author information

Authors and Affiliations

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

    Mikołaj Busłowicz

Authors
  1. Mikołaj Busłowicz
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Correspondence to Mikołaj Busłowicz .

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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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Busłowicz, M. (2014). Stability Analysis of Descriptor Continuous-Time Two-Term Linear Systems of Fractional Orders. 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_5

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  • DOI: https://doi.org/10.1007/978-3-319-05353-0_5

  • 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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