Abstract: The decentralized connective stabilization problem of the expanded structure of large-scale systems is considered. It is assumed that a large-scale system is constituted by adding new-subsystems iteratively on the original one, i.e., an expanded system. Then, the decentralized connective stabilization problem of the system becomes how to design the local control law of the new subsystems without changing the decentralized control laws of original structure. Therefore, the subsystems and, as a result, the expanded system are both stable and connectively stable. The sufficient condition for the decentralized connective stabilization of the expanded structure of large-scale systems is obtained by use of Lyapunov theory and LMI approach. The design method of the decentralized stabilization controller of the expanded structure is given. A numerical example shows the effectiveness of the method proposed.