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Containment control of non-affine multi-agent systems based on given precision

Author

Listed:
  • Yao, Dajie
  • Dou, Chunxia
  • Xie, Xiangpeng
  • Hu, Songlin

Abstract

This paper concentrates on a containment control issue for multi-agent systems in non-affine form with a given accuracy. In comparison with the existing studies on multi-agent systems, precision-based containment control idea is first formulated. With the aid of the proposed strategy, the main merit of this note is that the synchronization errors converge to arbitrary given positive number. Simultaneously, the particular Layapunov functions are constructed by feat of two auxiliary functions. By employing the backstepping and adaptive control technique, the key variables and the actual controller are designed. Unlike the traditional stability analysis, a novel method is used to analyse the convergence of containment errors. In the end, some simulation results demonstrate the correctness for the proposed protocol.

Suggested Citation

  • Yao, Dajie & Dou, Chunxia & Xie, Xiangpeng & Hu, Songlin, 2022. "Containment control of non-affine multi-agent systems based on given precision," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    • Handle: RePEc:eee:apmaco:v:412:y:2022:i:c:s0096300321006639
    DOI: 10.1016/j.amc.2021.126579
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    References listed on IDEAS

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    1. Chenliang Wang & Yan Lin, 2015. "Robust adaptive neural control for a class of uncertain MIMO nonlinear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(11), pages 1934-1943, August.
    2. Dong, Zeyu & Wang, Xin & Zhang, Xian, 2020. "A nonsingular M-matrix-based global exponential stability analysis of higher-order delayed discrete-time Cohen–Grossberg neural networks," Applied Mathematics and Computation, Elsevier, vol. 385(C).
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