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

Original Article
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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.

Keywords

Adaptive lag synchronization Complex networks Pinning control Multiple time-varying delays 

Notes

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.

Compliance with ethical standards

Competing interests

The authors declare that they have no competing interests

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Copyright information

© The Natural Computing Applications Forum 2017

Authors and Affiliations

  • Xin Wang
    • 1
  • Kun She
    • 1
  • Shouming Zhong
    • 2
  • Huilan Yang
    • 2
  1. 1.School of Information and Software EngineeringUniversity of Electronic Science and Technology of ChinaChengduPeople’s Republic of China
  2. 2.School of Mathematical SciencesUniversity of Electronic Science and Technology of ChinaChengduPeople’s Republic of China

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