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

Frédéric Mazenc 1, 2 Michael Malisoff 3
2 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France, SUPELEC, CNRS - Centre National de la Recherche Scientifique : UMR8506
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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Frédéric Mazenc, Michael Malisoff. On Average Values of Time-Varying Delays and a New Representation of Systems with Time-Varying Delays. American Control Conference 2019, Jul 2019, Philadelphia, United States. ⟨hal-02268094⟩

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