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Organically-structured control problem for interconnected large-scale systems with expanding construction, viz. robust decentralized connective stabilization problem, is studied based on dynamic output feedback in this paper. The mathematical description of large-scale systems with expanding construction found on the dynamic output feedback is deduced. The sufficient condition of the robust decentralized connective stabilization of the system is obtained by taking Lyapunov theory and LMI approach. The design method of the dynamic output feedback controller of the expanding construction is given. In the process to seek solution of the problem, because the preferences of the interconnection constraint matrix relates to the designed system performance, the genetic algorithm is adopted to optimize the interconnection constraint matrix by choosing the fitness function which can evaluate the time domain response performance synthetically, in order to improve the control capability of the system. The system simulation research is done for presented method, and the simulation results show the effectiveness of this method.