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.
Publication Source (Journal or Book title)
Proceedings of the IEEE Conference on Decision and Control
Mazenc, F., & Malisoff, M. (2015). Reduction model approach for systems with a time-varying delay. Proceedings of the IEEE Conference on Decision and Control, 54rd IEEE Conference on Decision and Control,CDC 2015, 7723-7727. https://doi.org/10.1109/CDC.2015.7403440