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Neural Computing and Applications

, Volume 22, Issue 2, pp 205–210 | Cite as

New global synchronization analysis for complex networks with coupling delay based on a useful inequality

  • Dawei Gong
  • Huaguang Zhang
  • Zhanshan Wang
  • Bonan Huang
ISNN 2011

Abstract

This paper is concerned with the problem of global synchronization for a general complex networks. Based on a useful inequality and Kronecker product technique, a new criterion is obtained, which has fewer unknown variables and is a significant improvement in the performance. Synchronization criteria are derived by some new mathematical skills and Schur complement. The result is expressed by linear matrix inequalities, which can be easily computed and checked in practice. Finally, numerical examples will be used to show the effectiveness of the obtained result.

Keywords

Complex networks Global synchronization Kronecker product Free-weighting matrices 

Notes

Acknowledgments

This work was supported by the National Natural Science Foundation of China (50977008, 60821063, 61034005), Program for New Century Excellent Talents in University of China (NCET-10-0306), National Basic Research Program of China (2009CB320601).

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Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  • Dawei Gong
    • 1
  • Huaguang Zhang
    • 1
  • Zhanshan Wang
    • 1
  • Bonan Huang
    • 1
  1. 1.College of Information Science and EngineeringNortheastern UniversityShenyangChina

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