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Complete Controllability of Impulsive Fractional Linear Time-Invariant Systems with Delay

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  • Xian-Feng Zhou
  • Song Liu
  • Wei Jiang

Abstract

Some flaws on impulsive fractional differential equations (systems) have been found. This paper is concerned with the complete controllability of impulsive fractional linear time-invariant dynamical systems with delay. The criteria on the controllability of the system, which is sufficient and necessary, are established by constructing suitable control inputs. Two examples are provided to illustrate the obtained results.

Suggested Citation

  • Xian-Feng Zhou & Song Liu & Wei Jiang, 2013. "Complete Controllability of Impulsive Fractional Linear Time-Invariant Systems with Delay," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-7, July.
    • Handle: RePEc:hin:jnlaaa:374938
    DOI: 10.1155/2013/374938
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    Cited by:

    1. Longfei Lin & Yansheng Liu & Daliang Zhao, 2021. "Controllability of Impulsive ψ -Caputo Fractional Evolution Equations with Nonlocal Conditions," Mathematics, MDPI, vol. 9(12), pages 1-14, June.
    2. Pang, Denghao & Jiang, Wei & Liu, Song & Jun, Du, 2019. "Stability analysis for a single degree of freedom fractional oscillator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 498-506.

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