Abstract: The purpose of the thesis is to study the asymptotic stabilization problem of LTI hybrid switched system. For the systems consisting of two subsystems with different equilibrium types (foci, nodes and saddle points), the authors, based on the conic switching law and geometric properties of the phase plane and through designing the switching laws, respectively give the sufficient and necessary conditions of judging the asymptoptic stabilization of the system so as to solve the problem about the asymptoptic stabilization of second-order LTI hybrid switched systems. Numerical examples show the effectiveness of this approach.