Аннотация:Sufficient conditions for the existence of stabilizing controllers are established forswitched interval linear systems. In particular, the condition for the existence of a static statefeedback stabilizer is reduced to the solvability of a system of linear matrix inequalities fora switched interval system with modes of various orders, and the condition for the existence ofa digital stabilizing dynamic output feedback controller is stated in terms of the solvability ofa system of nonlinear matrix inequalities for a switched interval system with slow switching
