Using the superposition method to formulate the state variable matrix for linear networks

This paper proposes a systematic method for writing the state variable matrix for nondegenerate linear electrical networks by using the superposition principle and also extends the procedure to cover degenerate networks. To use the proposed method, all inductances and capacitances in a network are replaced by ideal independent sources; the state variable equations are then written, often by inspection with nondegenerate networks, utilizing the superposition principle in conjunction with the resulting simplified electrical network.