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Solution of the State Equation of Descriptor Fractional Continuous-Time Linear Systems with Two Different Fractional

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Progress in Automation, Robotics and Measuring Techniques (ICA 2015)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 350))

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Abstract

The descriptor fractional continuous-time linear systems with two different fractional orders are considered. The Drazin inverse of matrices is applied to find the solutions of the state equations. Some additional changes to classical Drazin approach for finding solution of the state equation of descriptor systems is proposed. An equality defining the set of admissible initial conditions for given inputs is derived.

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Authors and Affiliations

  1. Faculty of Electrical Engineering, Bialystok University of Technology, Wiejska 45D, 15-351, Białystok, Poland

    Łukasz Sajewski

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  1. Łukasz Sajewski
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Correspondence to Łukasz Sajewski .

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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 Automation and Measurements PIAP, Warsaw, Poland

    Małgorzata Kaliczyńska

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Sajewski, Ł. (2015). Solution of the State Equation of Descriptor Fractional Continuous-Time Linear Systems with Two Different Fractional. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds) Progress in Automation, Robotics and Measuring Techniques. ICA 2015. Advances in Intelligent Systems and Computing, vol 350. Springer, Cham. https://doi.org/10.1007/978-3-319-15796-2_24

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  • DOI: https://doi.org/10.1007/978-3-319-15796-2_24

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-15795-5

  • Online ISBN: 978-3-319-15796-2

  • eBook Packages: EngineeringEngineering (R0)

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