Pinning control on complex networks via identifying communities

Based on the tool of V-Stability, the stability analysis of the controlled network is derived in terms of linear matrix inequality. Then the large scale network is divided into some small communities via a fast division algorithm. The aggregation network is stabilized by stabilizing every community with pinning control strategy. As an illustrative example, a network with 400 nodes is simulated to verify the effectiveness and convenience with the selective pinning control strategy.