Stability analysis of perturbed time-delay systems

Abstract EN

This paper presents new sufficient conditions for asymptotic stability of perturbed time-delay systems in terms of the size of the delay constant.

The stability analysis is formulated for special class of linear systems with several types of uncertainties.

These conditions yield much improved stability bounds than the ones reported in the literature.

The proposed stability procedure implies a straightforward method to determine an upper bound on the time delay constant that preserves stability and they are shown to be less restrictive than: those reported in the literature: Several numerical, examples are given to illustrate the main points of the results.