This paper investigates the way to choice inner coupled matrix to ensure a class of diffusively coupled time-varying
complex networks are auto-synchronous. The Jordan canonical form of system matrix of nodes in variational equations is
analyzed based on master stability functions method. As a result, several ways to choice inner coupled matrix for different
situations are proposed. Besides, the proposition to choice preferable inner coupled matrix according to synchronization
speed of network is presented with the choice methods provided. Finally, three typical examples show the effectiveness of
the proposed methods.