Asymptotic stability independent of delays: simple necessary and sufficient conditions

Studies stability properties of linear time-invariant delay systems. The authors consider specifically the notion of asymptotic stability independent of delays. Systems with both commensurate and non-commensurate delays are investigated. The authors present for each case a necessary and sufficient condition, and further they demonstrate how these conditions may be extended readily to study asymptotic stability independent of delays for uncertain systems. These conditions can be readily checked, and they appear to be considerably simpler than results developed elsewhere previously.