Analytic Curve Perspective for Time-Delay Systems

In this chapter, we apply the analytic curve perspective to the asymptotic behavior analysis of time-delay systems, using the prerequisites introduced in Chap. 2. Such a new perspective may help us to understand more deeply the spectral characteristics associated with time-delay systems. As illustrated by the motivating examples of this chapter, some key information concerning the spectral characteristics tends to be overlooked by the existing methods in the literature.