Proportional-integral synchronization control for complex dynamical networks: a switching event-triggered approach

The proportional-integral synchronization control problem is investigated for a class of complex dynamical networks with coupling delay via a switching event-triggered mechanism. A switching event-triggered mechanism is adopted to determine when a certain control signal should be transmitted, which reduces the updates of the controllers and excludes the Zeno behavior. A synchronization criterion for complex dynamical networks, under a proportional-integral control strategy, is established. In addition, the proportional-integral controller gain matrices and the event-triggered parameters are jointly designed. The validity of the proposed results could be illustrated by a numerical example.