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Further results on the robust stability of linear systems with a single time delay. (English) Zbl 0805.93045

Summary: For linear systems with a single time-varying delay time, we propose a method to characterize how large the deviation of the delay time can be compared to the nominal zero value, such that the system still preserves its asymptotic stability. Both cases of linear time-delay systems with and without uncertainties are considered. The criteria developed are seen to give less conservative results in simulation examples.

MSC:

93D09 Robust stability
93C05 Linear systems in control theory
93D20 Asymptotic stability in control theory
93C15 Control/observation systems governed by ordinary differential equations
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References:

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