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Reachability and Controllability of Fractional Singular Dynamical Systems with Control Delay

Author

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  • Hai Zhang
  • Jinde Cao
  • Wei Jiang

Abstract

This paper is concerned with the reachability and controllability of fractional singular dynamical systems with control delay. The factors of such systems including the Caputo’s fractional derivative, control delay, and singular coefficient matrix are taken into account synchronously. The state structure of fractional singular dynamical systems with control delay is characterized by analysing the state response and reachable set. A set of sufficient and necessary conditions of controllability for such systems are established based on the algebraic approach. Moreover, an example is provided to illustrate the effectiveness and applicability of the proposed criteria.

Suggested Citation

  • Hai Zhang & Jinde Cao & Wei Jiang, 2013. "Reachability and Controllability of Fractional Singular Dynamical Systems with Control Delay," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-10, November.
    • Handle: RePEc:hin:jnljam:567089
    DOI: 10.1155/2013/567089
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    Cited by:

    1. Dorota Mozyrska & Ewa Pawłuszewicz & Małgorzata Wyrwas, 2017. "Local observability and controllability of nonlinear discrete-time fractional order systems based on their linearisation," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(4), pages 788-794, March.

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