A new form of a σ-inverse for nonsquare polynomial matrices

This paper presents a new simple form of a polynomial matrix sigma-inverse introduced as a result of research works on minimum variance control (MVC) for LTI MIMO nonsquare systems. A new approach to construction of a sigma-inverse of a nonsquare polynomial matrix can result in e.g. pole-free design of MVC, which is provided by specially selected degrees of freedom of the sigma-inverse. A simulation example in the Matlab (R) environment illustrates theoretical achievements of the paper.