Stabilization and synchronization control for complex dynamical networks with dynamic link subsystem

Abstract

This paper investigates continuous-time complex dynamical networks (CDNs) with dynamic connection relationships. The CDNs are regarded as interconnected systems composed of intercoupled subsystems of links and nodes. Different from previous research, a simplified and intuitive vector dynamic model is employed to describe the links subsystem (LS) rather than a matrix equation. Because the state of the links cannot be measured accurately in practice, the stabilization and synchronization of the nodes subsystem (NS) are investigated via the auxiliary role of the LS. Using the proposed node controllers and coupling forms in the LS, the CDNs can be stabilized and synchronized. Finally, numerical simulations are presented to verify the theoretical results.