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Second-Order Consensus of Multi-agent Systems via Periodically Intermittent Pinning Control

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Abstract

In this paper, we investigate the leader-following consensus of second-order multi-agent systems with nonlinear dynamics and time delay by employing periodically intermittent pinning control. All member agents and the virtual leader share the same nonlinear dynamics relating to the velocity and delayed velocity information. Based on Lyapunov stability theory, we obtain a novel criterion that is independent of the time delay and control width to guarantee the second-order consensus of multi-agent systems with time delay and periodically intermittent controllers. Numerical simulations are presented to illustrate the theoretical results.

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Acknowledgments

This work was supported in part by the National Natural Science Foundation of China under Grant Nos. 61473129, 61304049, 61374176 and 61473189, and the Science Fund for Creative Research Groups of the National Natural Science Foundation of China (No. 61221003). the Program for New Century Excellent Talents in Universities from Chinese Ministry of Education under Grant NCET-12-0215, the Fundamental Research Funds for the Central Universities (HUST: Grant Nos. 2014ZZGH001 and 2015TS025), the Program for Changjiang Scholars and Innovative Research Teams in Universities under Grant IRT1245.

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Authors and Affiliations

  1. Department of Automation, Shanghai Jiao Tong University and Key Laboratory of System Control and Information Processing, Ministry of Education of China, Shanghai, 200240, China

    Xiaoling Wang & Xiaofan Wang

  2. School of Automation, Image Processing and Intelligent Control Key Laboratory of Education Ministry of China, Huazhong University of Science and Technology, Wuhan, 430074, China

    Housheng Su

  3. College of Science, North China University of Technology, Beijing, 100144, China

    Bo Liu

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  1. Xiaoling Wang
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  2. Housheng Su
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  3. Xiaofan Wang
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  4. Bo Liu
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Correspondence to Housheng Su.

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Wang, X., Su, H., Wang, X. et al. Second-Order Consensus of Multi-agent Systems via Periodically Intermittent Pinning Control. Circuits Syst Signal Process 35, 2413–2431 (2016). https://doi.org/10.1007/s00034-015-0157-7

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  • DOI: https://doi.org/10.1007/s00034-015-0157-7

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