A comparative overview and expansion of frequency based stability boundary mapping methods for time delay systems

This paper presents a comparative overview of the existing frequency based methods for the classical problem about stability boundary calculation for time delay systems. Based on this, a generalization of the problem of calculating the stability region for time delay systems is given. Moreover, a novel method for computing the stabilizing system parameters as well as the controller parameter space for time delay systems is demonstrated. For this purpose, the parameter space approach is utilized as the basic vehicle for mapping the stability bounds. This technique provides an unique possibility for the efficient calculation of parameter spaces which are not only consisting of the uncertain time delay parameter.