Quasisynchronization in Quorum Sensing Systems with Parameter Mismatches
The paper investigates quasisynchronization in a communication system, which consists of cells communicating through quorum sensing. With the help of Lyapunov function method and Lur’e system approach, some sufficient conditions for quasisynchronization are presented, and a bound on the synchronizat...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/587019 |
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| _version_ | 1832547484952428544 |
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| author | Jianbao Zhang Wenyin Zhang Zhongjun Ma Jing Yu |
| author_facet | Jianbao Zhang Wenyin Zhang Zhongjun Ma Jing Yu |
| author_sort | Jianbao Zhang |
| collection | DOAJ |
| description | The paper investigates quasisynchronization in a communication system, which consists of cells communicating through quorum sensing. With the help of Lyapunov function method and Lur’e system approach, some sufficient conditions for quasisynchronization are presented, and a bound on the synchronization errors is derived. The obtained theoretical results show that the synchronization quality is influenced by two parameters detrimentally: the error bound depends almost linearly on the mismatches between cells and depends sensitively on the diffusion rates of the signals inward the cell membrane. Numerical experiments are carried out to verify the theoretical results. |
| format | Article |
| id | doaj-art-14f1eb4f84254fa3888ee846b4f384ab |
| 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-14f1eb4f84254fa3888ee846b4f384ab2025-02-03T06:44:29ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/587019587019Quasisynchronization in Quorum Sensing Systems with Parameter MismatchesJianbao Zhang0Wenyin Zhang1Zhongjun Ma2Jing Yu3School of Science, Hangzhou Dianzi University, Hangzhou 310018, ChinaSchool of Informatics, Linyi University, Linyi 276005, ChinaSchool of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, ChinaSchool of Science, Hangzhou Dianzi University, Hangzhou 310018, ChinaThe paper investigates quasisynchronization in a communication system, which consists of cells communicating through quorum sensing. With the help of Lyapunov function method and Lur’e system approach, some sufficient conditions for quasisynchronization are presented, and a bound on the synchronization errors is derived. The obtained theoretical results show that the synchronization quality is influenced by two parameters detrimentally: the error bound depends almost linearly on the mismatches between cells and depends sensitively on the diffusion rates of the signals inward the cell membrane. Numerical experiments are carried out to verify the theoretical results.http://dx.doi.org/10.1155/2014/587019 |
| spellingShingle | Jianbao Zhang Wenyin Zhang Zhongjun Ma Jing Yu Quasisynchronization in Quorum Sensing Systems with Parameter Mismatches Abstract and Applied Analysis |
| title | Quasisynchronization in Quorum Sensing Systems with Parameter Mismatches |
| title_full | Quasisynchronization in Quorum Sensing Systems with Parameter Mismatches |
| title_fullStr | Quasisynchronization in Quorum Sensing Systems with Parameter Mismatches |
| title_full_unstemmed | Quasisynchronization in Quorum Sensing Systems with Parameter Mismatches |
| title_short | Quasisynchronization in Quorum Sensing Systems with Parameter Mismatches |
| title_sort | quasisynchronization in quorum sensing systems with parameter mismatches |
| url | http://dx.doi.org/10.1155/2014/587019 |
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