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Finite-Time Synchronization for a Class of Dynamical Complex Networks with Nonidentical Nodes and Uncertain Disturbance

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Abstract

This paper investigates the finite-time synchronization for a class of linearly coupled dynamical complex networks with both nonidentical nodes and uncertain disturbance. A set of controllers are designed such that the considered system can be finite-timely synchronized onto the target node. Based on the stability of the error equation, the Lyapunov function method and the linear matrix inequality technique, several sufficient conditions are derived to ensure the finite-time synchronization, and applied to the case of identical nodes and the one without uncertain disturbance. Also the adaptive finite-time synchronization is discussed. A numerical example is given to show the effectiveness of the main results obtained.

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Author information

Authors and Affiliations

  1. School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, 100083, China

    Qingbo Li & Jin Guo

  2. College of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou, 450002, China

    Qingbo Li

  3. Key Laboratory of Knowledge Automation for Industrial Processes, Ministry of Education, Beijing, 100083, China

    Jin Guo

  4. School of Automation, Southeast University, Nanjing, 210096, China

    Changyin Sun

  5. College of Electric and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou, 450002, China

    Yuanyuan Wu

  6. School of Electrical and Electronic Engineering, University of Manchester, Manchester, M13 9PL, UK

    Zhengtao Ding

Authors
  1. Qingbo Li
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  2. Jin Guo
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  3. Changyin Sun
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  4. Yuanyuan Wu
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  5. Zhengtao Ding
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Corresponding author

Correspondence to Jin Guo.

Additional information

This research was supported in part by the National Natural Science Foundation of China under Grant Nos. 61773054, 61603350 and 61501407, and in part by the Fundamental Research Funds for the Central Universities of USTB (FRF-TP-17-039A2).

This paper was recommended for publication by Editor ZHAO Yanlong.

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Li, Q., Guo, J., Sun, C. et al. Finite-Time Synchronization for a Class of Dynamical Complex Networks with Nonidentical Nodes and Uncertain Disturbance. J Syst Sci Complex 32, 818–834 (2019). https://doi.org/10.1007/s11424-018-8141-5

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  • DOI: https://doi.org/10.1007/s11424-018-8141-5

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