In this paper, the state transfer of finite dimensional closed quantum systems with dipole and polarizability coupling in non-ideal cases is investigated. Two kinds of non-ideal systems are considered, where the internal Hamiltonian of the system is not strongly regular and not all the eigenvectors of the internal Hamiltonian are directly coupled with the target state. Such systems often exist in practical quantum systems such as vthe one-dimensional oscillator and coupled two-spin system. An im
