Fixed-time stabilization of general linear systems with input delay

In this paper, the fixed-time stabilization control problem for general linear systems with input delay is addressed. In addition to the Artstein-Kwon-Pearson reduction transformation, a pre-compensation control structure is established first to convert the original system into a single input delay-free linear system. Then, we show that the origin of the transformed system is fixed-time stabilizable by an additional homogeneous control design if the original system is controllable. Finally, an example is used to validate the proposed method via simulation results. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.