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Advances in the Theory and Applications of Non-integer Order Systems pp 67–75Cite as

Constrained Controllability of h-Difference Linear Systems with Two Fractional Orders

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

Abstract

The problem of controllability in finite number of steps with control constrains of h-difference linear control systems with two fractional orders is studied. There are considered systems with the Caputo type h-difference operators and with controls which values are from a given convex and bounded subset of the control space. Necessary and sufficient conditions for constrained controllability in finite number of steps are given.

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Author information

Authors and Affiliations

  1. Bialystok University of Technology, Białystok, Poland

    Ewa Pawłuszewicz & Dorota Mozyrska

Authors
  1. Ewa Pawłuszewicz
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  2. Dorota Mozyrska
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Corresponding author

Correspondence to Ewa Pawłuszewicz .

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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Pawłuszewicz, E., Mozyrska, D. (2013). Constrained Controllability of h-Difference Linear Systems with Two Fractional 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_6

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  • DOI: https://doi.org/10.1007/978-3-319-00933-9_6

  • 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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