Event-Triggered Consensus of Time-Varying Complex System

For the first time, a consensus protocol is proposed for a class of time-varying nonlinear complex system via an event-triggered communication scheme. The network topology is assumed to have a spanning tree. It is proved that if the nonlinear function in each system is Lipstchiz and the inner coupling matrix satisfies the persistently exciting condition, by using the event-triggered communication scheme, the consensus problem is solvable based on a key lemma developed by us. The main merit is to avoid continuous communication that is required in existing works on the event-triggered consensus for nonlinear complex systems. The Zeno behavior is excluded as well.