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

Baizeng Bao, Hongxiao Hu and Liguang Xu

International Journal of Systems Science, 2024, vol. 55, issue 14, 2996-3016

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.

Date: 2024
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DOI: 10.1080/00207721.2024.2364293

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