Stabilizing control for switched linear SISO systems

The paper presents one design method for stabilization of switched single input and single output systems using linear state feedback control law. The exponential stabilization is achieving by suitable common left eigenvector assigning to every constituent under assumption that each subsystem is controllable. The design is based on the necessary stability condition and is presented in terms of the set linear matrix inequalities. An illustrative example and the simulation results are given to illustrate the effectiveness of the proposed methods.