Complex network pinning control based On DR algorithm
Haiyi Sun, Limeng Zhang, Lei Ji · Mathematical Foundations of Computing · 2023
In this paper, a new pinning control algorithm called node degree and resistance distance (DR) is proposed. The algorithm is applied to four different undirected and unweighted complex networks. First of all, by constructing a suitable Lyapunov function, the sufficient conditions for the synchronization of the undirected network are obtained, and then the pinning control strategy based on the DR algorithm is applied to four different networks, and the pinning control strategy based on the resistance distance, eigenvector centrality and the degree centrality are compared, and the pinning control strategy based on the DR algorithm is superior to the other three pinning control strategies. Finally, numerical simulation verifies the correctnessand effectiveness of the proposed method.