A unified procedure for locating the stabilizable regions of two-dimensional switched systems

Abstract

We introduce a procedure for determining the stabilizable regions of two-dimensional switched systems consisting of two linear time-invariant subsystems. Our method does not need to consider the detailed classification and geometric properties of the subsystems involved, and concentrates on presenting a unified approach for locating the stabilizable regions of the switched systems under study. Several numerical examples are presented to demonstrate the applicability of the procedure.