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Sufficiency-type stability and stabilization criteria for linear time-invariant systems with constant point delays. (English) Zbl 1067.34078
The following linear system is considered $\dot{x}(t)=A_{0}x(t)+\sum_{k=1}^{r}A_{k}x(t-\tau_{k}),\;t\geq 0\;,$ where $$\tau_{k},k=1,\dots,r$$, are unknown delays.
Criteria for $$\alpha$$-stability (anti-stability) local in the delays and $$\varepsilon$$-stability independent of the delays are established. Moreover, questions on robust stability and closed-loop stabilization are discussed.

##### MSC:
 34K20 Stability theory of functional-differential equations 93D09 Robust stability 93D15 Stabilization of systems by feedback
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