Cooperative pinning synchronization of a class of undirected complex networks

Traditionally, pinning control design is based on the same input signal. However, in some real world engineering systems, it is difficult or very expensive to obtain the same input signal for all the pinned nodes due to different observations and configuration. To overcome the above essential difficulty, this paper develops a novel cooperative pinning synchronization method for a class of typical undirected complex dynamical networks. In detail, apart from the traditional pinning control, the proposed cooperative pining control approach utilizes different observations to drive all network nodes with the same reference signal. Built on this method, this paper obtains a sufficient condition for pinning synchronization of undirected connected networks. Moreover, this paper further explores the design algorithms for pinning controllers. Finally, the numerical simulations are given to validate the proposed approach.