Pole-placement for a class of singular system simultaneous stabilization

In the paper, stable factorization theory and state-space realization have been used to analyze a class of singular system. First the pole-placement problem is analyzed for stabilization of one singular system. Then, parameterization of all simultaneous stabilizing controllers for a set of singular plants has been proposed in term of stable inverses and stable null spaces, which is shown to have a structure similar to the controller parameterized results for one singular plant. Finally the pole-placement problem for simultaneous stabilization of a class of singular system is proposed, which is an extension of result for the pole-placement problem for one singular system stabilization. The results are illustrated by an example.