Local synchronization of a complex network model

  • Authors:

  • Wenwu Yu;Jinde Cao;Guanrong Chen;Jinhu Lü;Jian Han;Wei Wei

  • Affiliations:

  • Department of Mathematics, Southeast University, Nanjing, China and Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong;Department of Mathematics, Southeast University, Nanjing, China;Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong;Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China;School of Engineering and Applied Sciences, Harvard University, Cambridge, MA;Department of Electrical Engineering, Stanford University, Stanford, CA

  • Venue:
  • IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics - Special issue on human computing
  • Year:
  • 2009

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Abstract

This paper introduces a novel complex network model to evaluate the reputation of virtual organizations. By using the Lyapunov function and linear matrix inequality approaches, the local synchronization of the proposed model is further investigated. Here, the local synchronization is defined by the inner synchronization within a group which does not mean the synchronization between different groups. Moreover, several sufficient conditions are derived to ensure the local synchronization of the proposed network model. Finally, several representative examples are given to show the effectiveness of the proposed methods and theories.