Stability of Uncertain Impulsive Stochastic Genetic Regulatory Networks with Time-Varying Delay in the Leakage Term
This paper is concerned with the stability problem for a class of uncertain impulsive stochastic genetic regulatory networks (UISGRNs) with time-varying delays both in the leakage term and in the regulator function. By constructing a suitable Lyapunov-Krasovskii functional which uses the information...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/706720 |
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| _version_ | 1832556047787622400 |
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| author | Jun Li Manfeng Hu Jinde Cao Yongqing Yang Yinghua Jin |
| author_facet | Jun Li Manfeng Hu Jinde Cao Yongqing Yang Yinghua Jin |
| author_sort | Jun Li |
| collection | DOAJ |
| description | This paper is concerned with the stability problem for a class of uncertain impulsive stochastic genetic regulatory networks (UISGRNs) with time-varying delays both in the leakage term and in the regulator function. By constructing a suitable Lyapunov-Krasovskii functional which uses the information on the lower bound of the delay sufficiently, a delay-dependent stability criterion is derived for the proposed UISGRNs model by using the free-weighting matrices method and convex combination technique. The conditions obtained here are expressed in terms of LMIs whose feasibility can be checked easily by MATLAB LMI control toolbox. In addition, three numerical examples are given to justify the obtained stability results. |
| format | Article |
| id | doaj-art-23269b45292c4f9cb4868da2cb9fbd22 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-23269b45292c4f9cb4868da2cb9fbd222025-02-03T05:46:26ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/706720706720Stability of Uncertain Impulsive Stochastic Genetic Regulatory Networks with Time-Varying Delay in the Leakage TermJun Li0Manfeng Hu1Jinde Cao2Yongqing Yang3Yinghua Jin4School of Science, Jiangnan University, Wuxi 214122, ChinaSchool of Science, Jiangnan University, Wuxi 214122, ChinaDepartment of Mathematics, Southeast University, Nanjing 210096, ChinaSchool of Science, Jiangnan University, Wuxi 214122, ChinaSchool of Science, Jiangnan University, Wuxi 214122, ChinaThis paper is concerned with the stability problem for a class of uncertain impulsive stochastic genetic regulatory networks (UISGRNs) with time-varying delays both in the leakage term and in the regulator function. By constructing a suitable Lyapunov-Krasovskii functional which uses the information on the lower bound of the delay sufficiently, a delay-dependent stability criterion is derived for the proposed UISGRNs model by using the free-weighting matrices method and convex combination technique. The conditions obtained here are expressed in terms of LMIs whose feasibility can be checked easily by MATLAB LMI control toolbox. In addition, three numerical examples are given to justify the obtained stability results.http://dx.doi.org/10.1155/2014/706720 |
| spellingShingle | Jun Li Manfeng Hu Jinde Cao Yongqing Yang Yinghua Jin Stability of Uncertain Impulsive Stochastic Genetic Regulatory Networks with Time-Varying Delay in the Leakage Term Abstract and Applied Analysis |
| title | Stability of Uncertain Impulsive Stochastic Genetic Regulatory Networks with Time-Varying Delay in the Leakage Term |
| title_full | Stability of Uncertain Impulsive Stochastic Genetic Regulatory Networks with Time-Varying Delay in the Leakage Term |
| title_fullStr | Stability of Uncertain Impulsive Stochastic Genetic Regulatory Networks with Time-Varying Delay in the Leakage Term |
| title_full_unstemmed | Stability of Uncertain Impulsive Stochastic Genetic Regulatory Networks with Time-Varying Delay in the Leakage Term |
| title_short | Stability of Uncertain Impulsive Stochastic Genetic Regulatory Networks with Time-Varying Delay in the Leakage Term |
| title_sort | stability of uncertain impulsive stochastic genetic regulatory networks with time varying delay in the leakage term |
| url | http://dx.doi.org/10.1155/2014/706720 |
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