A major problem due to the use of decentralized feedback for large scale or complex technical plants is the question of stabilizability, i.e., the existence of local controllers stabilizing the overall system. The paper describes a concept for investigating whether a plant, which consists of state-coupled SISO-subsystems, can be stabilized by local dynamic output feedback of fixed dynamic order. The investigation is carried out in a parameter independent way based on graph-theoretic results such that stabilizability is guaranteed irrespective of the numerical values of the non-vanishing system parameters. The approach permits the analysis of systems with more general structures than methods known up to now.