General Controller for a Class of Singular System Simultaneous Stabilization

Using stable factorization theory and state-space realization, this paper studies the simultaneous stabilization problem for a class of singular system. Stable right inverse and stable right null space are introduced into a class of linear systems via stable factorization theory at first. Then, a new design approach of all simultaneous stabilizing general controllers for a class of singular system has been proposed in term of stable inverses and stable null spaces and parameterized. A numerical example is given to illustrate the design procedure.