Observer-based pinning control security synchronization of multi-weighted complex networks subject to DoS attacks

The study focuses on the secure synchronization control of a class of multi-weighted complex networks under denial-of-service attacks. First, a novel decentralized pinning observer is proposed to address the issue of unmeasurable node states. Furthermore, by employing iterative techniques, the comparison principle, and constructing appropriate Lyapunov functions, several security synchronization criteria expressed in terms of linear matrix inequalities are rigorously derived. Additionally, to minimize control costs, decentralized adaptive control strategies are developed to ensure secure synchronization. Finally, the feasibility and effectiveness of the theoretical analysis are validated through multiple numerical examples.