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Controllability Criteria for Linear Fractional Differential Systems with State Delay and Impulses

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  • Hai Zhang
  • Jinde Cao
  • Wei Jiang

Abstract

This paper is concerned with the controllability of linear fractional differential systems with delay in state and impulses. The factors of such systems including fractional derivative, impulses, and delay are taken into account synchronously. The expression of state response for such systems is derived, and the sufficient and necessary conditions of controllability criteria are established. Both the proposed criteria and illustrative examples show that the controllability property of the linear systems is dependent neither on the order of fractional derivative, on delay nor on impulses.

Suggested Citation

  • Hai Zhang & Jinde Cao & Wei Jiang, 2013. "Controllability Criteria for Linear Fractional Differential Systems with State Delay and Impulses," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-9, June.
    • Handle: RePEc:hin:jnljam:146010
    DOI: 10.1155/2013/146010
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    Cited by:

    1. Jiang Wei, 2017. "On the Interval Controllability of Fractional Systems with Control Delay," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 9(5), pages 87-96, October.

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