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Stability of Fractional Difference Systems with Two Orders

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Advances in the Theory and Applications of Non-integer Order Systems

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 257))

Abstract

In the paper we study the stability of nonlinear systems with the Caputo fractional difference with two orders. The Lyapunov direct method is used to analyze the stability of a system. The sufficient conditions for uniform stability and uniform asymptotic stability are presented.

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Authors and Affiliations

  1. Bialystok University of Technology, Białystok, Poland

    Małgorzata Wyrwas, Ewa Girejko, Dorota Mozyrska & Ewa Pawłuszewicz

Authors
  1. Małgorzata Wyrwas
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  2. Ewa Girejko
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  3. Dorota Mozyrska
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  4. Ewa Pawłuszewicz
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Corresponding author

Correspondence to Małgorzata Wyrwas .

Editor information

Editors and Affiliations

  1. , Dept. of Automatics & Biomedical Eng., AGH University of Science and Technology, Al. Mickiewicza 20, Cracow, 30-059, Poland

    Wojciech Mitkowski

  2. , Systems Research Institute, Polish Academy of Sciences, Ul. Newelska 6, Warsaw, 01-447, Poland

    Janusz Kacprzyk

  3. , Dept. of Automatics & Biomedical Eng., AGH University of Science and Technology, Al. Mickiewicza 30, Cracow, 30-059, Poland

    Jerzy Baranowski

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Wyrwas, M., Girejko, E., Mozyrska, D., Pawłuszewicz, E. (2013). Stability of Fractional Difference Systems with Two Orders. In: Mitkowski, W., Kacprzyk, J., Baranowski, J. (eds) Advances in the Theory and Applications of Non-integer Order Systems. Lecture Notes in Electrical Engineering, vol 257. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00933-9_4

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  • DOI: https://doi.org/10.1007/978-3-319-00933-9_4

  • Publisher Name: Springer, Heidelberg

  • Print ISBN: 978-3-319-00932-2

  • Online ISBN: 978-3-319-00933-9

  • eBook Packages: EngineeringEngineering (R0)

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