@article{Ge2024, 
author = {Xiao Ge and Xinzuo Ma and Yuanyuan Zhang and Han Xue and Seakweng Vong},
title = {Stability analysis of systems with additive time-varying delays via new bivariate quadratic reciprocally convex inequality},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {12},
pages = {36273-36292},
keywords = {stability, reciprocally convex inequality, Lyapunov–Krasovskii functional method, additive time-varying delay},
url = {https://www.sciopen.com/article/10.3934/math.20241721},
doi = {10.3934/math.20241721},
abstract = {This paper focuses on the stability analysis of additive time-varying delay systems. First, a bivariate quadratic reciprocally convex matrix inequality is derived, which serves as a generalization of traditional reciprocally convex inequalities. By applying the Lyapunov–Krasovskii functional method, this matrix inequality is incorporated to form a new stability criterion applicable to systems with additive time-varying delays. Finally, some numerical examples are presented to demonstrate the effectiveness of the theoretical results obtained.}
}