Distributed dynamic event-triggered control for fixed/preassigned-time output synchronization of output-coupling complex networks

The inaccessibility of the state information caused by irresistible factors is quite common in complex networks (CNs) and the synchronization is usually expected to be realized in a finite amount of time. Inspired by these practical backgrounds, this article is mainly contributed to fixed/preassigned-time (FIX/PT) output synchronization of homogeneous complex networks with output coupling. Firstly, a kind of observable output coupling is introduced into the modeling of CNs based on a type of output coefficient matrices having a general form. Additionally, some distributed dynamic event-triggered control (EVTC) schemes are developed based on the local output information to reduce communication frequency and resource waste. By using FIX stability theory and the method of reduction to absurdity, some concise criteria are derived to reach FIX/PT synchronization and the Zeno behavior is excluded. Note that the effect of the output matrix on network synchronization is revealed and the analysis difficulty caused by the unknown or non-differentiable synchronous state is effectively solved. At last, two numerical experiments and numerical comparisons are presented.

Automated summary

This article focuses on the fixed/preassigned-time (FIX/PT) output synchronization of homogeneous complex networks with output coupling. By introducing observable output coupling and distributed dynamic event-triggered control schemes, it reduces communication frequency and resource waste, and provides concise criteria for achieving synchronization.