@article{Li2024, 
author = {Biwen Li and Qiaoping Huang},
title = {Synchronization issue of uncertain time-delay systems based on flexible impulsive control},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {10},
pages = {26538-26556},
keywords = {impulsive control, time delay, synchronization, impulsive gain, parametric uncertainty},
url = {https://www.sciopen.com/article/10.3934/math.20241291},
doi = {10.3934/math.20241291},
abstract = {This paper discusses a synchronization issue of uncertain time-delay systems via flexible delayed impulsive control. A new Razumikhin-type inequality is presented, considering adjustable parameters the  ϖ(t), which relies on flexible impulsive gain. For the uncertain time-delay systems where delay magnitude is not constrained to impulsive intervals, sufficient conditions for global exponential synchronization (GES) are established. Furthermore, based on Lyapunov theory, a new differential inequality and linear matrix inequality design, and a flexible impulsive control method is introduced through using the variable impulsive gain and time-varying delays. It is interesting to find that uncertain time-delay systems can maintain GES by adjusting the impulsive gain and impulsive delay. Finally, two simulations are given to illustrate the effectiveness of the derived results.}
}