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Scaled Bipartite Consensus Controller Design for Second-Order Multi-Agent Systems with Mixed Time-Delays

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Abstract

The scaled bipartite consensus of second-order multi-agent systems is investigated in this paper. The internal delay and distributed delay are also considered in the dynamic model of each agent, in which the delays can be time-varying and large. The communication topology among agents is assumed to be directed and structurally balanced. On one hand, in order to guarantee scaled bipartite consensus of second-order multi-agent systems, an adaptive periodically intermittent control protocol is applied. On the other hand, some consensus criteria in the form of matrix inequalities are obtained by using Jensen inequality, Lyapunov stability theory and graph theory. Finally, a numerical simulation example is given to demonstrate the feasibility of theoretical results.

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Author information

Authors and Affiliations

  1. Research Center of Engineering Applications for IGT, Jiangnan University, Wuxi, 214122, China

    Ruitian Yang, Li Peng & Huarong Zhao

  2. Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), School of Science, Jiangnan University, Wuxi, 214122, China

    Yongqing Yang

Authors
  1. Ruitian Yang
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  2. Li Peng
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  3. Yongqing Yang
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  4. Huarong Zhao
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Corresponding author

Correspondence to Li Peng.

Additional information

This research was supported by the State Key Research Project under Grant No. 2018YFD0400902, the National Science Foundation under Grant No. 61873112, the Education Ministry and China Mobile Science Research Foundation under Grant No. MCM20170204 and Jiangsu Key Construction Laboratory of IoT Application Technology under Grant Nos. 190449 and 190450.

This paper was recommended for publication by Editor HU Xiaoming.

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Yang, R., Peng, L., Yang, Y. et al. Scaled Bipartite Consensus Controller Design for Second-Order Multi-Agent Systems with Mixed Time-Delays. J Syst Sci Complex 35, 888–908 (2022). https://doi.org/10.1007/s11424-021-0189-y

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  • DOI: https://doi.org/10.1007/s11424-021-0189-y

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