Output feedback stabilization of linear time-varying systems with infinite distributed input delays

This article investigates the output feedback stabilization problem of linear time-varying (LTV) systems with infinite distributed input delays. A novel observer is designed to estimate the system states and then a low gain output feedback controller is developed based on the estimated states. It is shown that the resulting closed-loop control system is globally exponentially stable under some mild assumptions. Moreover, it should be pointed out that to the best of our knowledge, the output feedback stabilization problem of LTV systems with infinite distributed input delays has not yet been studied in open literature. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed controllers. © 2023 John Wiley & Sons Ltd.