Title
A LMI condition for the Robustness of Linear Predictor Feedback with Respect to Time-Varying Input Delays.
Abstract
This paper discusses the robustness of the predictor feedback in the case of an unknown time varying delay. Specifically, we study the stability of the closed-loop system when the predictor feedback is designed based on the knowledge of the nominal value of the time-varying delay. By resorting to an adequate Lyapunov-Krasovskii functional, we derive a LMI-based sufficient condition ensuring the asymptotic stability of the closed-loop system for small enough variations of the time-varying delay around its nominal value. These results are extended to the feedback stabilization of a class of diagonal infinite-dimensional boundary control systems in the presence of a time-varying delay in the boundary control input.
Year
Venue
DocType
2019
arXiv: Optimization and Control
Journal
Volume
Citations 
PageRank 
abs/1902.07778
0
0.34
References 
Authors
12
3
Name
Order
Citations
PageRank
Lhachemi, H.1228.90
Christophe Prieur21037129.96
Robert Shorten329360.79