A novel $ H_{\infty} $ state observer design method for genetic regulatory networks with time-varying delays
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 s...
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AIMS Press
2024-01-01
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Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2024185?viewType=HTML |
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author | Xue Zhang Yu Xue |
author_facet | Xue Zhang Yu Xue |
author_sort | Xue Zhang |
collection | DOAJ |
description | 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. |
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format | Article |
id | doaj.art-4c34db48514149179a411e2129376159 |
institution | Directory Open Access Journal |
issn | 2473-6988 |
language | English |
last_indexed | 2024-03-08T10:15:34Z |
publishDate | 2024-01-01 |
publisher | AIMS Press |
record_format | Article |
series | AIMS Mathematics |
spelling | doaj.art-4c34db48514149179a411e21293761592024-01-29T01:31:05ZengAIMS PressAIMS Mathematics2473-69882024-01-01923763378710.3934/math.2024185A novel $ H_{\infty} $ state observer design method for genetic regulatory networks with time-varying delaysXue Zhang 0 Yu Xue 11. School of Mathematical Science, Heilongjiang University, Harbin 150080, China 2. Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems, Heilongjiang University, Harbin 150080, China1. School of Mathematical Science, Heilongjiang University, Harbin 150080, China 2. Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems, Heilongjiang University, Harbin 150080, ChinaIn 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.https://www.aimspress.com/article/doi/10.3934/math.2024185?viewType=HTMLgenetic regulatory networkstime-varying delays$ h_{\infty} $ state observer designbounded real lemmaparameterized bounds of solutions |
spellingShingle | Xue Zhang Yu Xue A novel $ H_{\infty} $ state observer design method for genetic regulatory networks with time-varying delays AIMS Mathematics genetic regulatory networks time-varying delays $ h_{\infty} $ state observer design bounded real lemma parameterized bounds of solutions |
title | A novel $ H_{\infty} $ state observer design method for genetic regulatory networks with time-varying delays |
title_full | A novel $ H_{\infty} $ state observer design method for genetic regulatory networks with time-varying delays |
title_fullStr | A novel $ H_{\infty} $ state observer design method for genetic regulatory networks with time-varying delays |
title_full_unstemmed | A novel $ H_{\infty} $ state observer design method for genetic regulatory networks with time-varying delays |
title_short | A novel $ H_{\infty} $ state observer design method for genetic regulatory networks with time-varying delays |
title_sort | novel h infty state observer design method for genetic regulatory networks with time varying delays |
topic | genetic regulatory networks time-varying delays $ h_{\infty} $ state observer design bounded real lemma parameterized bounds of solutions |
url | https://www.aimspress.com/article/doi/10.3934/math.2024185?viewType=HTML |
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