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.
https://hal.inria.fr/hal-02268094
Contributor : Frederic Mazenc
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Submitted on : Tuesday, August 20, 2019 - 12:42:30 PM
Last modification on : Friday, December 20, 2019 - 11:48:05 AM
Long-term archiving on: Thursday, January 9, 2020 - 8:10:00 PM
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. ⟨hal-02268094⟩
