Asymptotic synchronization of fractional-order delayed inertial memristive fuzzy neural networks with impulsive effects
Yong Qiu, Baoxian Wang, Shenghui Li, Jigui Jian · International Journal of Systems Science · 2025
This paper investigates the global asymptotic synchronisation (GAS) of fractional-order inertial memristive fuzzy neural networks (FOIMFNNs) of different order with leakage delays and impulsive effects. Firstly, several new algebraic conditions for the GAS of FOIMFNNs with different orders are derived based on differential inclusion theory and the principle of impulse fractional order delay comparison. Secondly, the GAS in the 1-norm and p-norm cases are discussed by designing two control schemes with leakage delays: one is state feedback control and the other is fractional-order adaptive control. Ultimately, two simulation examples are given to verify the validity of the theoretical results.