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Robust adaptive synchronization of general dynamical networks with multiple delays and uncertainties

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An Erratum to this article was published on 22 April 2016

Abstract

In this article, a general complex dynamical network which contains multiple delays and uncertainties is introduced, which contains time-varying coupling delays, time-varying node delay, and uncertainties of both the inner- and outer-coupling matrices. A robust adaptive synchronization scheme for these general complex networks with multiple delays and uncertainties is established and raised by employing the robust adaptive control principle and the Lyapunov stability theory. We choose some suitable adaptive synchronization controllers to ensure the robust synchronization of this dynamical network. The numerical simulations of the time-delay Lorenz chaotic system as local dynamical node are provided to observe and verify the viability and productivity of the theoretical research in this paper. Compared to the achievement of previous research, the research in this paper seems quite comprehensive and universal.

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Acknowledgements

This work was jointly supported by the Research Foundation of Department of Education of Sichuan Province (Grant Nos 14ZA0203 and 14ZB0210), the Open Foundation of Enterprise Informatization and Internet of Things Key Laboratory of Sichuan Province (Grant Nos 2014WYJ01 and 2013WYY06), the Open Foundation of Artificial Intelligence Key Laboratory of Sichuan Province (Grant Nos 2014RYY02, 2013RYJ01, the Science Foundation of Sichuan University of Science & Engineering (Grant No. 2014PY14).

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Authors and Affiliations

  1. School of Information Science & Engineering, Northeastern University, Shenyang, Liaoning, 110819, People’s Republic of China

    YIMING LU & SHU-HUA MA

  2. School of Automation and Electronic Information, Sichuan University of Science and Engineering, Zigong, Sichuan, 643000, People’s Republic of China

    PING HE

  3. State Key Laboratory of Robotics and System, Harbin Institute of Technology, Harbin, Heilongjiang, 150080, People’s Republic of China

    GUO-ZHI LI

  4. CRRC TANGSHAN CO., LTD, Tangshan, Hebei, 064000, People’s Republic of China

    SALEH MOBAYBEN

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  1. YIMING LU
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  2. PING HE
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  3. SHU-HUA MA
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  4. GUO-ZHI LI
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  5. SALEH MOBAYBEN
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Correspondence to PING HE.

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LU, Y., HE, P., MA, SH. et al. Robust adaptive synchronization of general dynamical networks with multiple delays and uncertainties. Pramana - J Phys 86, 1223–1241 (2016). https://doi.org/10.1007/s12043-015-1182-6

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  • DOI: https://doi.org/10.1007/s12043-015-1182-6

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