The absolute stability, independent of the delays, of time-delay systems with non-commensurate internal point delays for any non-linearity satisfying a standard time positivity inequality is discussed. That property holds if an associate delay-free system is absolutely stable and the size of the delayed dynamics is sufficiently small. The results are obtained for non-linearities belonging to sectors [0, k] and [h, k+h], k≥0 and are based on a parabola test type.
Inspec keywords: absolute stability; control nonlinearities; delay systems
Other keywords:
Subjects: Distributed parameter control systems; Stability in control theory; Nonlinear control systems
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