SPECTRAL UNMIXING OF CLASSES OF ARBITRARY NONSINGULAR MATRICES

摘要

It has been shown that for any nonsingular matrix M. there exists a finite set of 'unmixing' matrices S such that at least one member Si S" will exhibit the property that MSi will be stable, i.e. MSi will be a Hurwitz Matrix. The purpose of this note is to construct such a set for the cases n - 2,3 and for the specific case of companion matrices of arbitrary dimension. A direct application of such 'unmixing' matrices is in the construction of adaptive-type controllers using switching controllers.