Synchronization for Complex Networks with Multiple Weights Under Recoverable Attacks
Jin-Liang Wang, Shun-Yan Ren, Huai-Ning Wu, Tingwen Huang · 2024
This chapter discusses the synchronization for complex networks (CNs) with multiple state couplings (CNMSCs) or CNs multiple delayed state couplings (CNMDSCs) under recoverable attacks, respectively. It discusses the analysis and control for the synchronization problem of undirected CNMSCs subject to attacks, and presents several synchronization criteria based on some inequality techniques. On one side, several criteria to ensure the synchronization of CNMSCs and CNMDSCs under the case that the topology is directed or undirected have been developed by utilizing some inequality techniques. On the other side, the state-feedback control approach has been employed to study the synchronization of these network models. The chapter provides two numerical examples to illustrate the validity of the obtained criteria. It considers the synchronization of coupled reaction–diffusion neural networks with multiple state or spatial diffusion couplings under recoverable attacks.