Pinning synchronization and parameter identification of fractional-order complex-valued dynamical networks with multiple weights

Compared with single weight networks, multiple weights networks are more practical and universal. Considering the unknown structure and time-varying factor in the actual system, the pinning synchronization of fractional-order complex-valued networks (FCVNs) with unknown parameters and time-varying coupling strength is studied. In addition, according to the identification and adaptive law, the unknown parameters can be identified, and the value of time-varying coupling strength is obtained. Based on fractional-order calculus theory and Lyapunov stability theory, sufficient conditions for pinning synchronization of FCVNs with time-varying coupling strength are derived. Finally, the effectiveness of the pinning controller strategy for fractional-order complex networks is illustrated by two numerical examples in complex-value space.