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Adaptive Event-Triggering Consensus for Multi-Agent Systems with Linear Time-Varying Dynamics

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Abstract

In this paper, the authors study the fully distributed event-triggering consensus problem for multi-agent systems with linear time-varying dynamics, where each agent is described by a linear time-varying system. An adaptive event-triggering protocol is proposed for time-varying multi-agent systems under directed graph. Based on the Gramian matrix of linear time-varying systems, the design of control gain is done and sufficient conditions ensuring the consensus of linear time-varying multi-agent systems are obtained. It is shown that the coupling strength is closely related to the triggering condition. When it comes to undirected graph, it is shown that the coupling strength is independent on the triggering condition and thus the design procedure is of more freedom than the directed case. In addition, it is also proved that Zeno behaviours can be excluded in the proposed protocols. A numerical example is presented to demonstrate the effectiveness of the theoretical results.

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Authors and Affiliations

  1. School of Mathematical Sciences, Yangzhou University, Yangzhou, 225002, China

    Wenbing Zhang, Atitalla Abuzar Hussein Mohammed & Yurong Liu

  2. School of Electrical, Energy and Power Engineering, Yangzhou University, Yangzhou, 225009, China

    Jiatong Bao

Authors
  1. Wenbing Zhang
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  2. Atitalla Abuzar Hussein Mohammed
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  3. Jiatong Bao
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  4. Yurong Liu
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Corresponding authors

Correspondence to Wenbing Zhang or Jiatong Bao.

Additional information

This research was supported by the National Natural Science Foundation of China under Grant Nos. 61873230 and 61673176.

This paper was recommended for publication by Editor FU Minyue.

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Zhang, W., Abuzar Hussein Mohammed, A., Bao, J. et al. Adaptive Event-Triggering Consensus for Multi-Agent Systems with Linear Time-Varying Dynamics. J Syst Sci Complex 35, 1700–1718 (2022). https://doi.org/10.1007/s11424-022-1065-0

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  • DOI: https://doi.org/10.1007/s11424-022-1065-0

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