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

Abstract

A new method complying necessary and sufficient conditions to test delay-independent stability of the general linear time invariant (LTI) dynamics with single delay is presented. The method is based on investigating the location of zeros of an auxiliary characteristic polynomial obtained via Kronecker summation. The proposed approach enables to determine the exact regions of the unknown parameters, e.g., system and controller parameters, ensuring delay-independent stability.