Dissipativity and Error Feedback Controller Design of Time-Delay Genetic Regulatory Networks
Genetic regulatory networks (GRNs) play an important role in the development and evolution of the biological system. With the rapid development of DNA technology, further research on GRNs becomes possible. In this paper, we discuss a class of time-delay genetic regulatory networks with external inpu...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/9940229 |
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| _version_ | 1832546064614293504 |
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| author | Yonggang Ma Junmei Liu Jiao Ai |
| author_facet | Yonggang Ma Junmei Liu Jiao Ai |
| author_sort | Yonggang Ma |
| collection | DOAJ |
| description | Genetic regulatory networks (GRNs) play an important role in the development and evolution of the biological system. With the rapid development of DNA technology, further research on GRNs becomes possible. In this paper, we discuss a class of time-delay genetic regulatory networks with external inputs. Firstly, under some reasonable assumptions, using matrix measures, matrix norm inequalities, and Halanay inequalities, we give the global dissipative properties of the solution of the time-delay genetic regulation networks and estimate the parameter-dependent global attraction set. Secondly, an error feedback control system is designed for the time-delay genetic control networks. Furthermore, we prove that the estimation error of the model is asymptotically stable. Finally, two examples are used to illustrate the validity of the theoretical results. |
| format | Article |
| id | doaj-art-662d0876267449e483e555f0079f8cab |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-662d0876267449e483e555f0079f8cab2025-02-03T07:23:54ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/99402299940229Dissipativity and Error Feedback Controller Design of Time-Delay Genetic Regulatory NetworksYonggang Ma0Junmei Liu1Jiao Ai2School of Mathematics and Statistics, Yulin University, Yulin 719000, ChinaSchool of Mathematics and Statistics, Yulin University, Yulin 719000, ChinaSchool of Mathematics and Statistics, Yulin University, Yulin 719000, ChinaGenetic regulatory networks (GRNs) play an important role in the development and evolution of the biological system. With the rapid development of DNA technology, further research on GRNs becomes possible. In this paper, we discuss a class of time-delay genetic regulatory networks with external inputs. Firstly, under some reasonable assumptions, using matrix measures, matrix norm inequalities, and Halanay inequalities, we give the global dissipative properties of the solution of the time-delay genetic regulation networks and estimate the parameter-dependent global attraction set. Secondly, an error feedback control system is designed for the time-delay genetic control networks. Furthermore, we prove that the estimation error of the model is asymptotically stable. Finally, two examples are used to illustrate the validity of the theoretical results.http://dx.doi.org/10.1155/2021/9940229 |
| spellingShingle | Yonggang Ma Junmei Liu Jiao Ai Dissipativity and Error Feedback Controller Design of Time-Delay Genetic Regulatory Networks Journal of Mathematics |
| title | Dissipativity and Error Feedback Controller Design of Time-Delay Genetic Regulatory Networks |
| title_full | Dissipativity and Error Feedback Controller Design of Time-Delay Genetic Regulatory Networks |
| title_fullStr | Dissipativity and Error Feedback Controller Design of Time-Delay Genetic Regulatory Networks |
| title_full_unstemmed | Dissipativity and Error Feedback Controller Design of Time-Delay Genetic Regulatory Networks |
| title_short | Dissipativity and Error Feedback Controller Design of Time-Delay Genetic Regulatory Networks |
| title_sort | dissipativity and error feedback controller design of time delay genetic regulatory networks |
| url | http://dx.doi.org/10.1155/2021/9940229 |
| work_keys_str_mv | AT yonggangma dissipativityanderrorfeedbackcontrollerdesignoftimedelaygeneticregulatorynetworks AT junmeiliu dissipativityanderrorfeedbackcontrollerdesignoftimedelaygeneticregulatorynetworks AT jiaoai dissipativityanderrorfeedbackcontrollerdesignoftimedelaygeneticregulatorynetworks |