@article{Wang2025, 
author = {Wei Wang and Chang-Xin Li and Ao-Qian Luo and Hui-Qin Xiao},
title = {Stability analysis of linear systems with a periodical time-varying delay based on an improved non-continuous piecewise Lyapunov functional},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {4},
pages = {9073-9093},
keywords = {periodical time-varying delay, delay segmentation, Lyapunov–Krasovskii functional, stability criteria},
url = {https://www.sciopen.com/article/10.3934/math.2025418},
doi = {10.3934/math.2025418},
abstract = {This paper mainly studies the stability of linear systems with a periodical time-varying delay. An improved delay-segmentation-based non-continuous piecewise Lyapunov–Krasovskii (L–K) functional is proposed. In comparison with the currently available L–K functional, this functional incorporates more delay-segmentation-interval-related information. Additionally, it effectively eases the boundary constraints at each segment point. Consequently, a stability criterion with reduced conservativeness for linear time-delay systems is derived. Finally, two numerical examples and a single-area load frequency control system are given to validate the efficiency of the proposed approach.}
}