Symbolic descriptor and state space model of interconnected linear systems with algebraic loops

This paper proposes a method which gives symbolic model of the interconnected linear system using the adjacency matrix which represent the system. When there exist any algebraic loops in the system, they are reduced to the self loops by the edge contraction. If the weight matrix of the self loop is nonsingular, it is removed and the symbolic state space model is obtained, otherwise the symbolic descriptor model is obtained. We introduce a new interactive graphical software tool which have been developed for modeling and simulation of control systems using the proposed method.