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Lag synchronization analysis of general complex networks with multiple time-varying delays via pinning control strategy

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Abstract

This paper focuses on the lag synchronization issue for a kind of general complex networks with multiple time-varying delays via the pinning control strategy. By applying the Lyaponov functional theory and mathematical analysis techniques, sufficient verifiable criteria that depend on both intrinsic time-varying delay and coupled time-varying delay are obtained to achieve lag synchronization of the networks. Moreover, the coupling configuration matrices are not required to be symmetric or irreducible, and the minimum number of pinned nodes is determined by node dynamics, coupling matrices, and the designed parameter matrices. Finally, a numerical example is given to illustrate the feasibility of the theoretical results.

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Acknowledgments

The authors are grateful to the reviewers and editors for their valuable comments and suggestions to improve the presentation of this paper. This work is supported by the National Natural Science Foundation of China (Grant No. 61533006) and China Scholarship Council.

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Authors and Affiliations

  1. School of Information and Software Engineering, University of Electronic Science and Technology of China, Chengdu, 610054, People’s Republic of China

    Xin Wang & Kun She

  2. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, People’s Republic of China

    Shouming Zhong & Huilan Yang

Authors
  1. Xin Wang
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  2. Kun She
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  3. Shouming Zhong
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  4. Huilan Yang
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Correspondence to Xin Wang.

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Wang, X., She, K., Zhong, S. et al. Lag synchronization analysis of general complex networks with multiple time-varying delays via pinning control strategy. Neural Comput & Applic 31, 43–53 (2019). https://doi.org/10.1007/s00521-017-2978-8

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  • DOI: https://doi.org/10.1007/s00521-017-2978-8

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