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

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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.

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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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Authors and Affiliations

  1. College of Information Science and Engineering, Northeastern University, Shenyang, 110819, China

    Dawei Gong, Huaguang Zhang, Zhanshan Wang & Bonan Huang

Authors
  1. Dawei Gong
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  2. Huaguang Zhang
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  3. Zhanshan Wang
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  4. Bonan Huang
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Correspondence to Dawei Gong.

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Gong, D., Zhang, H., Wang, Z. et al. New global synchronization analysis for complex networks with coupling delay based on a useful inequality. Neural Comput & Applic 22, 205–210 (2013). https://doi.org/10.1007/s00521-011-0683-6

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  • DOI: https://doi.org/10.1007/s00521-011-0683-6

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