For an interconnected system with the general topology, based on the multi-overlapping decomposition of inclusion principle, the expanding and contracting transformation matrices, permutation matrices and related complementary matrices applied to the pair-wise decomposition and overlapping decentralized control of the proposed interconnected system are defined through the description on system structure. Then, according to the proposed deleting and adding methods, the corresponding deleting and adding matrices are established, and a combination of both is made to obtain the structural variation matrices, which is used to accomplish the pair-wish decomposition and overlapping decentralized control of the interconnected systems with general dynamic structure. Finally, a four-areas interconnected power system is taken as an example to detail.