Pinning Cluster Synchronization in Linear Hybrid Coupled Delayed Dynamical Networks
Anping Bao, Ting Wang, Shumin Fei, Xiaomin Tian · Mathematical Problems in Engineering · 2016
The problem on cluster synchronization will be investigated for a class of delayed dynamical networks based on pinning control strategy. Through utilizing the combined convex technique and Kronecker product, two sufficient conditions can be derived to ensure the desired synchronization when the designed feedback controller is employed to each cluster. Moreover, the inner coupling matrices are unnecessarily restricted to be diagonal and the controller design can be converted into solving a series of linear matrix inequalities (LMIs), which greatly improve the present methods. Finally, two numerical examples are provided to demonstrate the effectiveness and reduced conservatism.