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 control theory, some delay-independent and -dependent synchronization criteria with a prescribed 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.
"-Based Pinning Synchronization of General Complex Dynamical Networks with Coupling Delays." J. Appl. Math. 2013 1 - 8, 2013. https://doi.org/10.1155/2013/275205