Design of state-feedback matric in stabilization of block-cascading switched linear systems

This paper considers the problem of feedback stabilization of switched linear system. When the control subspace is the whole space, and the subsystems have common cascading form, a constructive method to obtain the feedback matrices and the common transform matrix is given. When the control subspace is the whole space, a sufficient condition for quadratic stabilization is obtained. An illustrative example was constructed to demonstrate the design techniques.