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.
https://hal.inria.fr/hal-01248071 Contributor : Frederic MazencConnect in order to contact the contributor Submitted on : Wednesday, December 23, 2015 - 3:24:07 PM Last modification on : Saturday, May 1, 2021 - 3:46:40 AM Long-term archiving on: : Thursday, March 24, 2016 - 12:51:00 PM
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⟩