Event-triggered Synchronization for Second-order Linear Systems in Complex Dynamical Network With Time-varying Topology

In this paper, the event-triggered synchronization of second-order linear systems in complex dynamical networks (CDNs) with time-varying topology is addressed. In order to guarantee the CDNs under cooperatively directed spanning tree (CDST) topology can achieve exponential synchronization, an important synchronization condition is obtained with the help of graph theory, matrix inequalities and Lyapunov stability theory. In addition, by proving that all event-triggered intervals have a positive lower bound, the Zeno phenomenon is excluded, which avoids the infinite triggers. At last, a simulation example is presented to verify the availability of the obtained theoretical results.