Abstract: The H∞ robust stabilization for a class of linear systems was studied via hybrid state feedback strategy. Suppose that there are finite candidate static-slate feedback controllers with known gain matrix, and the systems are unstable using a single controller, in terms of the condition of convex combination and the design of switching laws, a sufficient condition for H∞ robust stabilization of the system was derived through switching among the controllers. The sufficient condition can be given by linear matrix inequality.