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Monitoring The Topology Of Growing Dynamical Networks

Author

Listed:
  • ZHAOYAN WU

    (College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi 330022, China;
    Department of Electronic Engineering, City University of Hong Kong, Hong Kong, China)

  • XINCHU FU

    (Department of Mathematics, Shanghai University, Shanghai 200444, China)

  • GUANRONG CHEN

    (Department of Electronic Engineering, City University of Hong Kong, Hong Kong, China)

Abstract

In this paper, topology monitoring of growing networks is studied. When some new nodes are added into a network, the topology of the network is changed, which needs to be monitored in many applications. Some auxiliary systems (network monitors) are designed to achieve this goal. Both linear feedback control and adaptive strategy are applied to designing such network monitors. Based on the Lyapunov function method via constructing a potential or energy function decreasing along any solution of the system, and the LaSalle's invariance principle, which is a generalization of the Lyapunov function method, some sufficient conditions for achieving topology monitoring are obtained. Illustrative examples are provided to demonstrate the effectiveness of the new method.

Suggested Citation

  • Zhaoyan Wu & Xinchu Fu & Guanrong Chen, 2010. "Monitoring The Topology Of Growing Dynamical Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 21(08), pages 1051-1063.
    • Handle: RePEc:wsi:ijmpcx:v:21:y:2010:i:08:n:s012918311001566x
    DOI: 10.1142/S012918311001566X
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