This paper surveys the control theory literature having to do with the simultaneous stabilization of countably finite sets of systems in the state space domain. Design methods based upon control parameterization linear equation solution and linear matrix inequalities are discussed. The roles of nonlinear programming and convex programming techniques are included as is a brief description of the applicability of software based quantifier elimination techniques.
Simultaneous stabilization, state feedback control
Abdallah, Chaouki T.; Robert A. Luke; and Peter Dorato. "A Survey Of State-Feedback Simultaneous Stabilization Techniques." (2012). http://digitalrepository.unm.edu/ece_fsp/128