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A novel $ H_{\infty} $ state observer design method for genetic regulatory networks with time-varying delays
oleh: Xue Zhang, Yu Xue
| Format: | Article |
|---|---|
| Diterbitkan: | AIMS Press 2024-01-01 |
Deskripsi
In this article, a novel method is proposed to investigate the $ H_{\infty} $ 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_{\infty} $ performance level. Third, based on the obtained bounded real lemma, the explicit expressions of the $ H_{\infty} $ 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.