ABSTRACT
Motivated by the fact that stability is the prime objective in control system design, we present in this chapter methods for analyzing stability behavior of classes of linear time-delay systems. We will pay attention to methods in the time-domain more than in the frequency-domain due to the availability of efficient computer software [64]. The main focus is on issues of robust stability. Specifically, we axe interested in examining to what extent the time-delay system (TDS) or uncertain time-delay system (UTDS) under consideration remains stable in the face of unknown delay factor (constant or time-varying) and/or parameteric uncertainties. We refer the reader to the basic stability definitions in section 1.1.2 and the stability theorems (Appendix C).
