Asymptotic Hybrid Projection Lag Synchronization of Nonidentical Variable-Order Fractional Complex Dynamic Networks

Significant progress has been made in incorporating fractional calculus into the projection and lag synchronization of complex networks. However, real-world networks are highly complex, making derivative used dynamics more susceptible to changes over time. Therefore, it is essential incorporate variable-order asymptotic hybrid Firstly, this approach considers nonidentical models with characteristics, which general. Secondly, a class sliding mode surfaces designed, an accurate formula for calculating finite arriving time provided, contrast traditional control methods that use inequality-based range. Thirdly, sufficient conditions achieving derived. Lastly, feasibility effectiveness our demonstrated through two illustrative examples.