Abstract: The paper deals with the decoupling and stable decoupling of non-square systems on the state feedback and input transformation.
Using the specific property of the matrix on the state feedback and input transformation, we give necessary and sufficient condition for the existence of solutions to the decoupling problem. Moreover by utilizing the property of the Yokoyama standard patten, we obtained necessary and sufficient conditions for the existence of solutions to the stable decoupling problem of non-square systems.