@article{Wang2025, 
author = {Ruyi Wang and Chunyan Zhang and Lichao Feng and Zhihui Wu},
title = {Prescribed-time stabilization of uncertain nonlinear impulsive systems with multiple delays},
year = {2025},
journal = {Electronic Research Archive},
volume = {33},
number = {9},
pages = {5207-5230},
keywords = {uncertain impulsive systems, multiple delays, Lyapunov-Krasovskii functional, prescribed time stability, settling time},
url = {https://www.sciopen.com/article/10.3934/era.2025233},
doi = {10.3934/era.2025233},
abstract = {Researchers have reported on prescribed-time stability (PTS) for delay systems, but they do not take into account the significant impulses phenomenon and focus on only single delay. To tackle these two aspects, we aimed to investigate PTS issues for nonlinear impulsive systems with multiple time-varying delays and uncertainties. By the Lyapunov-Krasovskii functional method, PTS criteria were established for multi-delay systems. Specifically speaking, an adaptive control strategy was proposed for multi-delay systems to achieve PTS through the integrated design of time-varying delay compensation and uncertainty handling, which could ensure system states and control inputs to precisely converge to the origin within the prescribed time frame. Furthermore, the proposed method significantly enhanced the system's robustness against time-varying delays and uncertainties, thus overcoming the limitations of traditional methods in terms of convergence time and disturbance rejection capability. Finally, a simulation result was given to verify the feasibility and effectiveness of the proposed method.}
}