Stability and robust stability of time-delay systems: A guided tour. (English) Zbl 0914.93002

Niculescu, Silviu-Iulian; Verriest, Erik I.; Dugard, Luc; Dion, Jean-Michel

Dugard, Luc (ed.) et al., Stability and control of time-delay systems. Berlin: Springer. Lect. Notes Control Inf. Sci. 228, 1-71 (1998).

Summary: Some recent stability and robust stability results on linear time-delay systems are outlined. The goal of this guided tour is to give (without entering the details) a wide overview of the state of the art of the techniques encountered in time-delay system stability problems. In particular, two specific stability problems with respect to delay (delay-independent and respectively delay-dependent) are analyzed and some references where the reader can find more details and proofs are pointed out. The references list is not intended to give a complete literature survey, but rather to be a source for a more complete bibliography. In order to simplify the presentation several examples have been considered.
For the entire collection see [Zbl 0901.00019].

MSC:

93-02	Research exposition (monographs, survey articles) pertaining to systems and control theory
93D20	Asymptotic stability in control theory
34K20	Stability theory of functional-differential equations
93D09	Robust stability

Keywords:

robust stability; time-delay systems