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Bounded consensus tracking of second-order multi-agent systems using rectangular impulsive control

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Abstract

In this paper, the problem of bounded consensus tracking for second-order multi-agent systems is addressed with fixed and randomly switching directed topologies, wherein the leader is stimulated by an unknown time-varying but bounded external input. A novel distributed rectangular impulsive control strategy is developed, which only utilizes casual sampled position data of the neighboring agents. The proposed protocol is beneficial to the limited bandwidth and energy source. By virtue of graph and matrix theories, necessary and sufficient conditions are established, which guarantee the bounded consensus tracking under fixed topology and the mean-square bounded consensus under randomly switching topologies. The proposed algorithms incorporate the performance of the Dirac impulsive control and the sampled-data control. Finally, numerical examples are delivered to validate the effectiveness of the theoretical results.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under grants 61273076, 61871221, 61876024, and 61773210. The authors would like to thank anonymous reviewers for their constructive suggestions and comments.

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Authors and Affiliations

  1. School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, Jiangsu, China

    Pengpeng Ye, Andong Sheng, Yinya Li & Guoqing Qi

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  1. Pengpeng Ye
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  2. Andong Sheng
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  3. Yinya Li
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Correspondence to Andong Sheng.

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Ye, P., Sheng, A., Li, Y. et al. Bounded consensus tracking of second-order multi-agent systems using rectangular impulsive control. Nonlinear Dyn 95, 1189–1202 (2019). https://doi.org/10.1007/s11071-018-4623-1

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  • DOI: https://doi.org/10.1007/s11071-018-4623-1

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