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Synchronization criteria and pinning control for complex networks with multiple delays

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Abstract

By linearizing complex networks with multiple coupling delays to some time-delayed subsystems, for the first time, some new criterions are given to ensure the global synchronization of the system with multiple delays. Then, based on the proposed criterions and Lyapunov stability theory, pinning control schemes for this system are developed to achieve global synchronization. The obtained conditions are expressed within the framework of linear matrix inequalities and can be easily checked in practice. Finally, several numerical examples are provided to show the effectiveness of the proposed results.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (50977008, 60821063, 61034005), 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 & Bonan Huang

  2. College of Information Science and Technology, Donghua University, Shanghai, China

    Zhengyun Ren

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  1. Dawei Gong
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  2. Huaguang Zhang
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  3. Bonan Huang
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  4. Zhengyun Ren
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Correspondence to Dawei Gong.

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Gong, D., Zhang, H., Huang, B. et al. Synchronization criteria and pinning control for complex networks with multiple delays. Neural Comput & Applic 22, 151–159 (2013). https://doi.org/10.1007/s00521-011-0690-7

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  • DOI: https://doi.org/10.1007/s00521-011-0690-7

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