Discontinuous adaptive event-triggered impulsive control for synchronization of spatial-diffusion coupled fractional-order networks
摘要
This paper studies the quasi-synchronization of fractional-order reaction-diffusion complex networks (FORDCNs) with spatial-diffusion coupling. A new discontinuous adaptive event-triggered impulsive control (DAETIC) scheme is proposed for FORDCNs to reduce communication and computational resource consumption. Unlike existing adaptive impulsive control methods that often rely on continuous dynamics of adaptive function, which loses the advantages of impulsive control, or use time-triggering, leading to inefficient communication and computation. The proposed DAETIC protocol incorporates the Dirac delta function into the adaptive laws, enabling discontinuous updates and using state information only at impulsive instants. The integration of an event-triggered mechanism further reduces the number of controller updates, significantly conserving resources. Furthermore, the quasi synchronization of FORDCNs is studied under the DAETIC framework, and the corresponding sufficient conditions are derived by employing Lyapunov stability theory and fractional calculus techniques. Numerical simulation of a fractional-order chaotic network validate the theoretical results and demonstrate the effectiveness of the proposed method.