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Positive Fractional Linear Systems

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Advances in Grey Systems Research

Part of the book series: Understanding Complex Systems ((UCS))

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Abstract

Introduction

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References

  • Kaczorek, T.: Computation of realizations of discrete-time cone systems. Bull. Pol. Acad. Sci. Techn. 54(3), 347–350 (2006)

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  • Kaczorek, T.: Reachability and controllability to zero of cone fractional linear systems. Archives of Control Sciences 17(3), 357–367 (2007a)

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  • Kaczorek, T.: Reachability and controllability to zero of positive fractional discrete-time systems. Machine Intelligence and Robotic Control 6(4), 139–143 (2007b)

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  • Kaczorek, T.: Fractional positive continuous-time linear systems and their reachability. Int. J. Appl. Math. Sci. 18(2), 223–228 (2008a)

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  • Kaczorek, T.: Practical stability of positive fractional discrete-time linear systems. Bull. Pol. Acad. Techn. Sci. 56(4), 313–324 (2008b)

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  • Kaczorek, T.: Reachability of cone fractional continuous-time linear systems. Int. J. Appl. Math. Comput. Sci. 19(1) (2009a)

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  • Kaczorek, T.: Stability of positive continuous-time linear systems with delays. Bull. Pol. Acad. Sci. Techn. 57(4) (2009b) (in Press)

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  • Kaczorek, T.: LMI approaches to practical stability of positive fractional discrete-time linear systems. Int. J. Appl. Math. Comput. Sci. 19(4) (2009c)

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Author information

Authors and Affiliations

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

    Tadeusz Kaczorek

Authors
  1. Tadeusz Kaczorek
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Editor information

Editors and Affiliations

  1. Institute for Grey Systems Studies, Nanjing University of Aeronautics and Astronautics, 29 Imperial Street, 210016, Nanjing, P.R. China

    Sifeng Liu

  2. Department of Mathematics, Slippery Rock University, 16057, Slippery Rock, PA, USA

    Jeffrey Yi-Lin Forrest

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Kaczorek, T. (2010). Positive Fractional Linear Systems. In: Liu, S., Forrest, J.YL. (eds) Advances in Grey Systems Research. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13938-3_37

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