Simultaneous Stabilization for a Class of Generalized Linear System

Abstract

The paper considers stable right inverse and stable right null space for a class of generalized linear systems via the stable fractional theory. Simultaneous stabilization problem for a class of generalized linear systems is discussed in terms of stable right inverse and stable right null space. A design approach of the simultaneously stabilizing controllers is proposed and parameterized using stable right inverse and stable right null space. A numerical example is given to illustrate the design procedure.