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Consensus of multi-agent systems under switching agent dynamics and jumping network topologies

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Abstract

Consensus of multi-agent systems is an interesting research topic and has wide applications in science and engineering. The agents considered in most existing studies on consensus problem are time-invariant. However, in many cases, agent dynamics often show the characteristic of switching during the process of consensus. This paper considers consensus problem of general linear multi-agent system under both switching agent dynamics and jumping network topologies. Within the proposed multi-agent system, the agent dynamic switching is assumed to be deterministic, while the network topology jumping is considered respectively for two cases: deterministic jumping (Case 1) and Markov jumping (Case 2). By applying the dwell time and the average dwell time techniques, a sufficient consensus and an almost sure consensus conditions are provided for these two cases, respectively. Finally, two numerical examples are presented to demonstrate the theoretical results.

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Authors and Affiliations

  1. School of Mechatronic Engineering and Automation, Shanghai University, Shanghai, 200072, China

    Zhen-Hong Yang, Yang Song & Min Zheng

  2. Shanghai Key Laboratory of Power Station Automation Technology, Shanghai, 200072, China

    Yang Song & Min Zheng

  3. School of Information, Zhengzhou University, Zhengzhou, 450052, China

    Wei-Yan Hou

Authors
  1. Zhen-Hong Yang
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  2. Yang Song
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  3. Min Zheng
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  4. Wei-Yan Hou
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Corresponding author

Correspondence to Yang Song.

Additional information

This work was supported by National Natural Science Foundation of China (No. 61573237), and Shanghai Natural Science Fund (No. 13ZR1416300).

Recommended by Editor-in-Chief Huo-Sheng Hu

Zhen-Hong Yang is current a master student at Shanghai University, China.

His research interests include consensus of multi-agent system.

ORCID iD: 0000-0002-3561-0197

Yang Song received B. Sc. degree in 1998 and Ph.D. degree in 2006, both from Nanjing University of Science and Technology, China. Currently, he is an associate research fellow in Shanghai University, China.

His research interests include switched system, networked control theory and application.

ORCID iD: 0000-0002-4658-7578

Min Zheng received Ph.D. degree in 2008 from Southeast University, China. Currently, he is an associate research fellow in Shanghai University, China.

His research interests include time-delay systems stability analysis and synthesis of teleoperation robot system, network control system, and intelligent control system.

ORCID iD: 0000-0001-6328-1434

Wei-Yan Hou received the bachelor degree from Xidian university in 1986, received the M. Sc. degree from Tsinghua University, China in 1998, and his the Ph.D. degree from Shanghai University, China in 2004. He is now a professor in School of Information Engineering, Zhengzhou University, China.

His research interests include distributed intelligent control, wireless communication, and digital image processing.

ORCID iD: 0000-0001-9137-0768

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Yang, ZH., Song, Y., Zheng, M. et al. Consensus of multi-agent systems under switching agent dynamics and jumping network topologies. Int. J. Autom. Comput. 13, 438–446 (2016). https://doi.org/10.1007/s11633-016-0960-z

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  • DOI: https://doi.org/10.1007/s11633-016-0960-z

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