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A novel H state observer design method for genetic regulatory networks with time-varying delays
AIMS Mathematics 2024, 9(2): 3763-3787
Published: 15 February 2024
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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.

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