Stabilizability conditions of multivariable uncertain systems via output feedback control

A stabilizability condition is established for stabilizing multivariable uncertain dynamical systems with matched uncertainties by linear static output feedback control. It is shown that under the assumptions of minimum phase and nonsingular high-frequency gain for the nominal plant, stabilization with linear static output feedback control is achievable. A necessary and sufficient condition is also obtained for the existence of constant output feedback which makes the closed-loop system strictly positive real