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Lag Synchronization of Complex Networks via Decentralized Adaptive Control

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Advances in Neural Networks – ISNN 2018 (ISNN 2018)

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Abstract

Take into account the fact that the transmission delay of communication channel and the traditional self-node time-varying delays generally coexist. A lag synchronization (LS) problem of the heterogeneous dynamical delayed complex networks (HDDCNs) by using a decentralized adaptive control (DAC) scheme is investigated in this paper. Besides this, the nodes are divided into clusters based on their dynamics characteristic, each cluster is considered as a whole. Firstly, several sufficient criteria are proposed to guarantee a lag synchronization. Secondly, we employ a DAC scheme to reduce the cost of control while achieving lag synchronization. Thirdly, one typical simulation is conducted to illustrate the correctness of the results that we obtained.

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Acknowledgments

This work is supported by National Key Research and Development Program of China (Grant no. 2016YFB0800601), Natural Science Foundation of China (Grant no. 61472331, 61772434).

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Authors and Affiliations

  1. The Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, Southwest University, Chongqing, 400715, People’s Republic of China

    Fan Yang & Nankun Mu

Authors
  1. Fan Yang
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  2. Nankun Mu
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Correspondence to Nankun Mu .

Editor information

Editors and Affiliations

  1. Texas A&M University at Qatar, Doha, Qatar

    Tingwen Huang

  2. Sichuan University, Chengdu, China

    Jiancheng Lv

  3. Southeast University, Nanjing, China

    Changyin Sun

  4. United Institute of Informatics Problems, Minsk, Belarus

    Alexander V. Tuzikov

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Yang, F., Mu, N. (2018). Lag Synchronization of Complex Networks via Decentralized Adaptive Control. In: Huang, T., Lv, J., Sun, C., Tuzikov, A. (eds) Advances in Neural Networks – ISNN 2018. ISNN 2018. Lecture Notes in Computer Science(), vol 10878. Springer, Cham. https://doi.org/10.1007/978-3-319-92537-0_43

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  • DOI: https://doi.org/10.1007/978-3-319-92537-0_43

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-92536-3

  • Online ISBN: 978-3-319-92537-0

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