Robust output feedback stabilizability via controller switching

The paper considers the output feedback robust stabilizability problem for uncertain dynamical systems. The uncertain system under consideration is a composite of a continuous-time plant and a switched controller. A necessary and sufficient condition of absolute stabilizability is given in terms of the existense of suitable solutions to a dynamic programming equation and a Riccati algebraic equation of the H^~ filtering type. A real time implementable method for robust stabilization is also presented.