Exponential Stability Analysis for Genetic Regulatory Networks with Both Time-Varying and Continuous Distributed Delays
The global exponential stability is investigated for genetic regulatory networks with time-varying delays and continuous distributed delays. By choosing an appropriate Lyapunov-Krasovskii functional, new conditions of delay-dependent stability are obtained in the form of linear matrix inequality (LM...
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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/10.1155/2014/897280 |
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| _version_ | 1850120863888703488 |
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| author | Lizi Yin Yungang Liu |
| author_facet | Lizi Yin Yungang Liu |
| author_sort | Lizi Yin |
| collection | DOAJ |
| description | The global exponential stability is investigated for genetic regulatory networks with time-varying delays and continuous distributed delays. By choosing an appropriate Lyapunov-Krasovskii functional, new conditions of delay-dependent stability are obtained in the form of linear matrix inequality (LMI). The lower bound of derivatives of time-varying delay is first taken into account in genetic networks stability analysis, and the main results with less conservatism are established by interactive convex combination method to estimate the upper bound of derivative function of the Lyapunov-Krasovskii functional. In addition, two numerical examples are provided to illustrate the effectiveness of the theoretical results. |
| format | Article |
| id | doaj-art-6398b0caeeed46bd9304751bcd151617 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-6398b0caeeed46bd9304751bcd1516172025-08-20T02:35:15ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/897280897280Exponential Stability Analysis for Genetic Regulatory Networks with Both Time-Varying and Continuous Distributed DelaysLizi Yin0Yungang Liu1School of Control Science and Engineering, Shandong University, Jinan 250061, ChinaSchool of Control Science and Engineering, Shandong University, Jinan 250061, ChinaThe global exponential stability is investigated for genetic regulatory networks with time-varying delays and continuous distributed delays. By choosing an appropriate Lyapunov-Krasovskii functional, new conditions of delay-dependent stability are obtained in the form of linear matrix inequality (LMI). The lower bound of derivatives of time-varying delay is first taken into account in genetic networks stability analysis, and the main results with less conservatism are established by interactive convex combination method to estimate the upper bound of derivative function of the Lyapunov-Krasovskii functional. In addition, two numerical examples are provided to illustrate the effectiveness of the theoretical results.http://dx.doi.org/10.1155/2014/897280 |
| spellingShingle | Lizi Yin Yungang Liu Exponential Stability Analysis for Genetic Regulatory Networks with Both Time-Varying and Continuous Distributed Delays Abstract and Applied Analysis |
| title | Exponential Stability Analysis for Genetic Regulatory Networks with Both Time-Varying and Continuous Distributed Delays |
| title_full | Exponential Stability Analysis for Genetic Regulatory Networks with Both Time-Varying and Continuous Distributed Delays |
| title_fullStr | Exponential Stability Analysis for Genetic Regulatory Networks with Both Time-Varying and Continuous Distributed Delays |
| title_full_unstemmed | Exponential Stability Analysis for Genetic Regulatory Networks with Both Time-Varying and Continuous Distributed Delays |
| title_short | Exponential Stability Analysis for Genetic Regulatory Networks with Both Time-Varying and Continuous Distributed Delays |
| title_sort | exponential stability analysis for genetic regulatory networks with both time varying and continuous distributed delays |
| url | http://dx.doi.org/10.1155/2014/897280 |
| work_keys_str_mv | AT liziyin exponentialstabilityanalysisforgeneticregulatorynetworkswithbothtimevaryingandcontinuousdistributeddelays AT yungangliu exponentialstabilityanalysisforgeneticregulatorynetworkswithbothtimevaryingandcontinuousdistributeddelays |