Stabilization and Realization of a Class of Generalized Linear Systems

Abstract

Linear system over a principal ideal domain are referred to as generalized linear systems [1]. The class of generalized system considered here is linear time delay system (T9S) and systems depending on a parameter (SDP), which can be modelled by transfer matrices in two variables, say, G(s,z). This class of systs (or as a subset of linear systems over a co_utative ring) has received much attention in recent years (see [lj-[5] and references therein). In this short paper, the stabilization and realization of TDS and SDP are considered.