Partial Topology Identification in Multiweighted Complex Dynamical Networks Based on Generalized Synchronization

Topology identification plays a critical role in understanding and controlling complex dynamical networks (CDNs). However, most current research focuses on identifying global topological structures based on complete synchronization techniques, which impose stringent requirements for identical network configurations. Furthermore, in certain scenarios, we may only be interested in partial topology information of CDNs. This paper proposes a unified framework for partial topology identification and parameter estimation in multiweighted complex dynamical networks (MCDNs). By leveraging a generalized synchronization mechanism, the proposed method constructs a response MCDN through appropriately designed controllers, topology observers, and parameter estimators, enabling the reconstruction of unknown partial network topology and node parameters. This approach can also be extended to infer the complete topological structure of networks. Numerical simulation results validate the effectiveness of the proposed theoretical framework.