@article{Zhang2024, 
author = {Xue Zhang and Yu Xue},
title = {A novel        H          ∞       state observer design method for genetic regulatory networks with time-varying delays},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {2},
pages = {3763-3787},
keywords = {genetic regulatory networks, time-varying delays, H∞ state observer design, bounded real lemma, parameterized bounds of solutions},
url = {https://www.sciopen.com/article/10.3934/math.2024185},
doi = {10.3934/math.2024185},
abstract = {In this article, a novel method is proposed to investigate the        H          ∞       state observer design problem for genetic regulatory networks with time-varying delays and disturbances. First, the structure of the desired state observer is constructed, and the parameterized bounds of the error system solutions are given. Then, a bounded real lemma is established to provide the existence of the state observer and ensure that the error system is globally exponentially stable at an        H          ∞       performance level. Third, based on the obtained bounded real lemma, the explicit expressions of the        H          ∞       state observer can be obtained by solving several matrix inequalities. The effectiveness of the proposed novel observer design method is illustrated via a numerical example.}
}