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International Conference on Adaptive and Natural Computing Algorithms

ICANNGA 2011: Adaptive and Natural Computing Algorithms pp 305–311Cite as

Stability of Positive Fractional Continuous-Time Linear Systems with Delays

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6594))

Abstract

Necessary and sufficient conditions for the asymptotic stability of positive fractional continuous-time linear systems with delays are established. It is shown that: 1) the asymptotic stability of the positive fractional system is independent of their delays, 2) the checking of the asymptotic stability of the positive fractional systems with delays can be reduced to checking of the asymptotic stability of positive standard linear systems without delays.

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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

Authors
  1. Tadeusz Kaczorek
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Editors and Affiliations

  1. Faculty of Computer and Information Science, University of Ljubljana, Tržaška 25, 1000, Ljubljana, Slovenia

    Andrej Dobnikar , Uroš Lotrič  & Branko Šter ,  & 

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Kaczorek, T. (2011). Stability of Positive Fractional Continuous-Time Linear Systems with Delays. In: Dobnikar, A., Lotrič, U., Šter, B. (eds) Adaptive and Natural Computing Algorithms. ICANNGA 2011. Lecture Notes in Computer Science, vol 6594. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20267-4_32

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  • DOI: https://doi.org/10.1007/978-3-642-20267-4_32

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-20266-7

  • Online ISBN: 978-3-642-20267-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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