Event-triggered Bounded Synchronization Control for Heterogeneous Complex Networks

An event-triggered bounded synchronization of heterogeneous complex networks is studied. Firstly, a distributed full-dimensional state observer is designed for each node in the heterogeneous complex network to reconstruct the system state. The joint error system of observation and synchronization errors is obtained, and an event-triggered controller based on the observer state is designed. Then, by using the Lyapunov stability theory, a sufficient condition is derived to ensure the bounded stabilization of the joint error system. After that, the observer gain, controller gain, and event-triggered parameters are jointly solved using Linear Matrix Inequalities (LMIs). Finally, a numerical example is provided to verify the effectiveness of the proposed synchronization theory.