In this paper, we present a new necessary and sufficient condition for simultaneous stabilization and new sufficient conditions for the existence of a simultaneously stabilizing controller, both derived from a polynomial approach. The additional requirements for the controller itself to be either stable or a Unit in H1 are also given. These new sufficient conditions are general in nature and are shown to reduce in special cases to several published papers. Examples illustrate the extensions.
Simultaneous stabilization, strong stabilization, Unit stabilization, Hurwitz polynomials
Abdallah, Chaouki T.; Mike Bredemann; and Peter Dorato. "Polynomial solutions for simultaneous stabilization." (2012). https://digitalrepository.unm.edu/ece_fsp/99