Synchronization Analysis for Delayed Multilinked Large-Scale Networks via Intermittent Delayed Event-Triggered Control

Abstract

In this article, the synchronization problem of delayed multilinked large-scale networks is investigated via intermittent delayed event-triggered control (ETC). Time delays are considered in intermittent delayed ETC, which integrates delayed aperiodically intermittent control and event-triggered mechanisms (ETMs). Furthermore, both continuous ETM and periodic ETM are studied based on continuous measurements and periodic sampling, respectively. By introducing the exponential term into continuous ETM, the number of event triggers can be decreased. By means of periodic ETM, continuous monitoring can be avoided and an estimate for the upper bound of the sampling period is obtained. To address the challenges posed by intermittent delayed ETC and time delays, a generalized Halanay inequality is put forward, resulting in a wider application of the main results. In virtue of Lyapunov method, novel differential inequality technique, and graph theory, synchronization criteria for drive-response systems under intermittent delayed ETC are developed. Finally, an application to single-link robot arm systems is discussed, and corresponding numerical simulations are performed to demonstrate the validity of the theoretical results.