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Consensus of second-order multi-agent systems with nonsymmetric interconnection and heterogeneous delays

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Abstract

In this paper, a consensus algorithm of multi-agent second-order dynamical systems with nonsymmetric interconnection and heterogeneous delays is studied. With the hypothesis of directed weighted topology graph with a globally reachable node, decentralized consensus condition is obtained by applying generalized Nyquist criterion. For the systems with both communication and input delays, it is shown that the consensus condition is dependent on input delays but independent of communication delays.

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Authors and Affiliations

  1. School of Information Science and Engineering, Ludong University, Yantai, 264025, PRC

    Hong-Yong Yang, Fu-Cai Wang & Si-Ying Zhang

Authors
  1. Hong-Yong Yang
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  2. Fu-Cai Wang
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  3. Si-Ying Zhang
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Corresponding author

Correspondence to Hong-Yong Yang.

Additional information

This research was supported by National Natural Science Foundation of China (No. 60774016, No. 60875039, No. 60904022) and the Science Foundation of Education Office of Shandong Province of China (No. J08LJ01) and Internal Visiting Scholar Object for Excellence Youth Teacher of the College of Shandong Province of China.

Hong-Yong Yang received the Ph.D. in control theory and control engineering from Southeast University, PRC, in 2005. He is currently a professor in the Department of Information Science and Engineering, Ludong University, Yantai, PRC.

His research interests include network congestion control, complex network control, and multi-agent alignment control.

Fu-Cai Wang received the MS. degree in control theory and application from Qinghua University in 1988. He is currently an associate professor in the School of Electronic and Electrical Engineering, Ludong University, Yantai, PRC.

His research interests include switching control, robust control, and electrical transmissions.

Si-Ying Zhang graduated from Wuhan University, PRC in 1948. He is a professor in the School of Information Science and Engineering, Northeastern University, Shenyang, PRC. He is currently an academician of Chinese Academy of Science.

His research interests include nonlinear system control, complex systems, and complex science.

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Yang, HY., Wang, FC. & Zhang, SY. Consensus of second-order multi-agent systems with nonsymmetric interconnection and heterogeneous delays. Int. J. Autom. Comput. 8, 421–428 (2011). https://doi.org/10.1007/s11633-011-0599-8

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  • DOI: https://doi.org/10.1007/s11633-011-0599-8

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