Prescribed-Time Synchronization of Complex Networks With Switching Partial Information Transmission

This brief focuses on studying the prescribed-time synchronization for complex networks (CNs) with switching partial information transmission. In contrast to existing literature, this brief considers a new communication constraint (imperfect information transmission) on CNs, and then establishes a model for CNs with switching multiple communication channels failure. By employing the prescribed-time convergence theorem and vector segmentation method, the implementation of synchronization under partial information transmission is translated into the synchronization of all state component. Moreover, a sufficient condition is derived to ensure that CNs can achieve prescribed-time synchronization without relying on initial conditions and controller parameters. Finally, the correctness of theoretical results are validated by numerical simulations.