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Quasi-synchronisation of conformable fractional-order complex dynamical networks with mixed delays

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  • Baizeng Bao
  • Hongxiao Hu
  • Liguang Xu

Abstract

This paper investigates the exponential quasi-synchronisation of conformable fractional-order complex dynamical networks with mixed delays under periodically intermittent pinning control. First, by the definition of the conformable fractional-order derivative and fractional-order comparison principle, two generalised conformable fractional-order Halanay inequalities are established. Then, by these two inequalities, Lyapunov method and periodically intermittent controller, criteria for realising exponential quasi-synchronisation for the researched network are obtained. Finally, numerical examples are given to illustrate the feasibility of the derived results.

Suggested Citation

  • Baizeng Bao & Hongxiao Hu & Liguang Xu, 2024. "Quasi-synchronisation of conformable fractional-order complex dynamical networks with mixed delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 55(14), pages 2996-3016, October.
    • Handle: RePEc:taf:tsysxx:v:55:y:2024:i:14:p:2996-3016
    DOI: 10.1080/00207721.2024.2364293
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