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Fractional variable order discrete-time systems, their solutions and properties

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  • Dominik Sierociuk
  • Wiktor Malesza

Abstract

In this paper, fractional variable order discrete state-space systems based on different definitions of fractional variable order difference are investigated.The general solution of these systems is derived. Moreover, necessary and sufficient conditions for reachability and observability are given and proven. The sufficient conditions for controllability are proposed too.

Suggested Citation

  • Dominik Sierociuk & Wiktor Malesza, 2017. "Fractional variable order discrete-time systems, their solutions and properties," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(14), pages 3098-3105, October.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:14:p:3098-3105
    DOI: 10.1080/00207721.2017.1365969
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    Cited by:

    1. Duarte Valério & Manuel D. Ortigueira, 2023. "Variable-Order Fractional Scale Calculus," Mathematics, MDPI, vol. 11(21), pages 1-13, November.
    2. Joel Perez Padron & Jose Paz Perez & José Javier Pérez Díaz & Atilano Martinez Huerta, 2021. "Time-Delay Synchronization and Anti-Synchronization of Variable-Order Fractional Discrete-Time Chen–Rossler Chaotic Systems Using Variable-Order Fractional Discrete-Time PID Control," Mathematics, MDPI, vol. 9(17), pages 1-15, September.

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