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Consensus Control for Multi-agent Networks with Mixed Undirected Interactions

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Book cover Proceedings of 2016 Chinese Intelligent Systems Conference (CISC 2016)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 404))

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Abstract

This paper is concerned with the average consensus problem on multi-agent networks with undirected interactions which can be either static or dynamic. Notably, the multi-agent networks involving static and dynamic interactions are represented by graphs with edge weights in the form of real numbers and transfer functions. We propose a distributed consensus control algorithm based on the nearest neighbor rule. It is shown that the connectivity topology condition supplies a necessary and sufficient condition for all agents to achieve average consensus. Numerical simulations are provided to verify the effectiveness of the obtained results.

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Acknowledgments

This work was supported in part by the National Basic Research Program of China (973 Program) under Grant 2012CB821200 and Grant 2012CB821201, in part by the National Natural Science Foundation of China (NSFC) under Grant 61473010, Grant 61134005, Grant 61221061, Grant 61327807, Grant 61532006, and Grant 61320106006, in part by the Beijing Natural Science Foundation under Grant 4162036, and in part by the Fundamental Research Funds for the Central Universities.

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Authors and Affiliations

  1. School of Mathematics and Systems Science, Beihang University (BUAA), Beijing, 100191, China

    Weili Niu

  2. The Seventh Research Division, Beihang University (BUAA), Beijing, 100191, China

    Weili Niu, Deyuan Meng & Xiaolu Ding

  3. School of Automation Science and Electrical Engineering, Beihang University (BUAA), Beijing, 100191, China

    Deyuan Meng & Xiaolu Ding

Authors
  1. Weili Niu
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  2. Deyuan Meng
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  3. Xiaolu Ding
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Corresponding author

Correspondence to Deyuan Meng .

Editor information

Editors and Affiliations

  1. Beihang University , Beijing, China

    Yingmin Jia

  2. Beijing University of Posts and Telecommunications, Beijing, China

    Junping Du

  3. University of Science and Technology Beijing, Beijing, China

    Weicun Zhang

  4. Tsinghua University , Beijing, China

    Hongbo Li

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© 2016 Springer Science+Business Media Singapore

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Niu, W., Meng, D., Ding, X. (2016). Consensus Control for Multi-agent Networks with Mixed Undirected Interactions. In: Jia, Y., Du, J., Zhang, W., Li, H. (eds) Proceedings of 2016 Chinese Intelligent Systems Conference. CISC 2016. Lecture Notes in Electrical Engineering, vol 404. Springer, Singapore. https://doi.org/10.1007/978-981-10-2338-5_10

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  • DOI: https://doi.org/10.1007/978-981-10-2338-5_10

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-2337-8

  • Online ISBN: 978-981-10-2338-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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