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Quasisynchronization in Quorum Sensing Systems with Parameter Mismatches

Author

Listed:
  • Jianbao Zhang
  • Wenyin Zhang
  • Zhongjun Ma
  • Jing Yu

Abstract

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.

Suggested Citation

  • Jianbao Zhang & Wenyin Zhang & Zhongjun Ma & Jing Yu, 2014. "Quasisynchronization in Quorum Sensing Systems with Parameter Mismatches," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:587019
    DOI: 10.1155/2014/587019
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    References listed on IDEAS

    as
    1. Chuangxia Huang & Hanfeng Kuang & Xiaohong Chen & Fenghua Wen, 2013. "An LMI Approach for Dynamics of Switched Cellular Neural Networks with Mixed Delays," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, April.
    2. Jianbao Zhang & Zhongjun Ma & Jinde Cao, 2013. "Full Synchronization Studied by a Set of Partitions Connected Together," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, October.
    3. Michael B. Elowitz & Stanislas Leibler, 2000. "A synthetic oscillatory network of transcriptional regulators," Nature, Nature, vol. 403(6767), pages 335-338, January.
    4. Jianbao Zhang & Zhongjun Ma & Jinde Cao, 2013. "Full Synchronization Studied by a Set of Partitions Connected Together," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    5. Chuangxia Huang & Hanfeng Kuang & Xiaohong Chen & Fenghua Wen, 2013. "An LMI Approach for Dynamics of Switched Cellular Neural Networks with Mixed Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    Full references (including those not matched with items on IDEAS)

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