Reduction Model Approach for Systems with a Time-Varying Delay

Frederic Mazenc 1 Michael Malisoff 2
1 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 provide a reduction model approach for achieving global exponential stabilization of linear systems with a time-varying pointwise delay in the input. We allow the delay to be discontinuous and uncertain. We also provide a stability result based on a different dynamic extension that ensures input-to-state stability with respect to additive uncertainties on the dynamics. Instead of the usual Lyapunov-Krasovskii or Razumikhin methods, we use a trajectory based approach.
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Frederic Mazenc, Michael Malisoff. Reduction Model Approach for Systems with a Time-Varying Delay. 54th IEEE Conference on Decision and Control (CDC), Dec 2015, Ozaka, Japan. ⟨10.1109/cdc.2015.7403440 ⟩. ⟨hal-01248071⟩

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