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

Frédéric Mazenc (1, 2) , Michael Malisoff (3)

1 L2S - Laboratoire des signaux et systèmes
2 DISCO - Dynamical Interconnected Systems in COmplex Environments
3 LSU - Louisiana State University

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.

Mots clés: Time-varying; Stability; Averaging; Delay Compensation

Domaines: Automatique

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⟩