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Realization Problem for Descriptor Positive Fractional Continuous-Time Linear Systems

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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))

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Abstract

The realization problem for descriptor positive fractional continuous-time linear systems with regular pencils is formulated and solved. Conditions for the existence of positive realizations of the descriptor fractional systems are established and procedures for computation of the realizations of improper transfer matrices are proposed. Effectiveness of the proposed procedures are demonstrated on numerical examples.

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Author information

Authors and Affiliations

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

    Tadeusz Kaczorek

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  1. Tadeusz Kaczorek
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Correspondence to Tadeusz Kaczorek .

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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Kaczorek, T. (2013). Realization Problem for Descriptor Positive Fractional Continuous-Time Linear Systems. 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_1

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  • DOI: https://doi.org/10.1007/978-3-319-00933-9_1

  • Publisher Name: Springer, Heidelberg

  • Print ISBN: 978-3-319-00932-2

  • Online ISBN: 978-3-319-00933-9

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