Delay-independent stabilization of linear systems

Abstract

Stabilization of delayed linear systems by state-variable feedback is studied in this paper. The assignability of the decaying rate of these systems is also considered. The conditions obtained are applicable to systems with time-varying delays without any restriction. The basis of these conditions is a criterion for delay-independent stability of linear system previously obtained. It is shown that in some cases a system is delay-independent stabilizable although a decaying rate is not assignable for this system.