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On Average Values of Time-Varying Delays and a New Representation of Systems with Time-Varying Delays

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Abstract

We show by a counterexample that the asymptotic stability of a system with a pointwise periodic time-varying delay cannot be deduced from the average value of the delay. We use this counterexample to motivate our new representation of systems with time-varying delays, which we use to develop a new state feedback stabilization method.
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hal-02268094 , version 1 (20-08-2019)

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Frédéric Mazenc, Michael Malisoff. On Average Values of Time-Varying Delays and a New Representation of Systems with Time-Varying Delays. ACC 2019 - American Control Conference, Jul 2019, Philadelphia, United States. ⟨10.23919/acc.2019.8814964⟩. ⟨hal-02268094⟩
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