A New Delay-Independent Stability Test of LTI Systems with Single Delay

A new method complying necessary and su?cient conditions to test delayindependent stability of the general linear time invariant dynamics with single delay is presented. The method is based on investigating the location of zeros of a auxiliary characteristic equation obtained via Kronecker summation. As well as providing an eficient test in real arithmetics, the exact boundaries of unknown/undetermined parameters such as controller gains or system parameters ensuring delay-independent stability can be determined by the new proposed method.