Stabilization of fractional exponential systems including delays

Abstract

This paper analyzes the BIBO stability of fractional exponential delay systems which are of retarded type. A necessary and sufficient condition ensuring stability is first given. As is the case for the classical class of delay systems this condition can be expressed in terms of the location of the poles of the system. Then, in view of constructing robust BIBO stabilizing controllers, explicit expressions of coprime and Bézout factors of these system are determined.