Adaptive fuzzy control for quasi-synchronization of uncertain complex dynamical networks with time-varying topology via event-triggered communication strategy

Abstract

In this paper, the quasi-synchronization problem of uncertain complex dynamical networks (CDNs) based on event-triggered communication strategy under time-varying topology is investigated. Considering the interference of the external perturbation on the communication network, a periodic time-varying network topology for CDNs is proposed, which only needs to require a directed spanning tree for the union of all sub-networks in a period. Meanwhile, a new event-triggered communication strategy is proposed to decrease of the frequency of information transmission between adjacent nodes for quasi-synchronization task of CDNs. Next, a new adaptive fuzzy control is designed to achieve quasi-synchronization and deal with the parametric uncertainty in CDNs. Then, based on Lyapunov theory and inequality techniques, the quasi-synchronization criteria are proposed for CDNs with parametric uncertainty and time-varying topology. Furthermore, the excluding Zeno behavior for the event-triggered communication strategy is strictly proven. Finally, two simulation examples are presented to attested the proposed theoretical results.