Stabilization of linear systems with time-varying delay

Abstract

The problem of stabilizing a linear system with time-varying delay by means of linear feedback without delay is considered. A sufficient condition on the open loop system is presented for the possiblity of actualizlng the arbitrarily prescribed degree of stability in the closed loop system. Under the condition, the feedback gain can be constructed from the knowledge of the upper bounds of the delay and its derivative; no additional information on the delay is necessary.