Finite-Time Synchronization of Hybrid-Coupled Delayed Dynamic Networks via Aperiodically Intermittent Control

In this paper, we investigate finite-time synchronization for a class of delayed dynamic networks with hybrid coupling via aperiodically intermittent control. First, more general models of dynamic networks with transmission delay and self-feedback delay are given. Second, a lemma with a newly added parameter is proposed to ensure finite-time synchronization of dynamic networks via an aperiodically intermittent control scheme, in which the newly added parameter can make the convergence time shorter. Third, by constructing a novel piecewise Lyapunov function and applying linear matrix inequality technique, some sufficient conditions ensuring finite-time synchronization for delayed dynamic networks are obtained. Moreover, the convergence time is affected by some decision parameters besides the newly added parameter, one of which is a maximum uncontrolled ratio generated by the definition of aperiodic intermittent control itself. Finally, a numerical example is presented to verify its validity and rationality.