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Conference Papers Year : 2015

Reduction Model Approach for Systems with a Time-Varying Delay

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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Dates and versions

hal-01248071 , version 1 (23-12-2015)

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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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