Parameterization of stabilizing controllers with either right- or left-coprime factorization

A parameterization method of stabilizing controllers that requires only one of right-/left-coprime factorizations is presented. As an illustrative model, we will consider the multidimensional system with structural stability, for which it is not yet known in general whether or not a doubly coprime factorization always exists. A parameterization of stabilizing controllers for the model is presented.