\(H_\infty\)-based pinning synchronization of general complex dynamical networks with coupling delays (Q2375470)

Summary: This paper investigates the synchronization of complex dynamical networks with coupling delays and external disturbances by applying local feedback injections to a small fraction of nodes in the whole network. Based on \(H_\infty\) control theory, some delay-independent and -dependent synchronization criteria with a prescribed \(H_\infty\) disturbances attenuation index are derived for such controlled networks in terms of linear matrix inequalities (LMIs), which guarantee that by placing a small number of feedback controllers on some nodes, the whole network can be pinned to reach network synchronization. A simulation example is included to validate the theoretical results.