Criteria for stability in approximate delay systems

This paper introduces some results about stability for a class of linear po int-delayed systems and how to compute these results. This work uses some t heorems on stability for delayed systems due to Mori [1-3]. Our method cons ists basically in finding extensions of such results to the case of an appr oximate representation of the linear delayed system, i.e., under which circ umstances stability for an approximate representation of the delayed system implies stability for the exact (real) delayed system. Sufficient conditio ns for asymptotic stability of linear delayed systems are greatly simplifie d and straightforwardly computed under Taylor series representation of the system state equations. Conditions under which asymptotic stability for the approximate system implies asymptotic stability for the real system are al so outlined in the paper. (C) 1999 Elsevier Science Ltd. All rights reserve d.