Synchronization via impulsive deadbeat coupling

For linear networks, where the coupling between the agents takes place through periodic impulses, a simple method is proposed for synchronization. It is shown that closing the loop by (normalized) deadbeat feedback gain produces synchronous behavior if the coupling strength $\mu$ is large enough. With such choice of control law, in the limiting case ($\mu \to \mathrm{\infty }$) exact synchronization is achieved after $n$ periods, where $n$ is the order of individual agent dynamics.