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Consensus of second-order multi-agent systems with nonlinear dynamics and switching topology

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Abstract

This paper is concerned with the consensus problem in second-order multi-agent systems with nonlinear dynamics and switching topology. The switching rule is assumed to switch among a finite number of undirected graphs and be trajectory dependent. By using Lyapunov–Metzler inequalities, some easily checkable conditions are obtained to guarantee that consensus can be achieved by a state switching rule. Two examples are presented to illustrate the effectiveness of the obtained results.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (10972082).

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Authors and Affiliations

  1. The School of Automation, Chongqing University of Posts and Telecommunications, Chongqing , 400065, China

    Shidong Zhai

  2. The School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan,  430074, China

    Shidong Zhai & Xiao-Song Yang

Authors
  1. Shidong Zhai
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  2. Xiao-Song Yang
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Correspondence to Xiao-Song Yang.

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Zhai, S., Yang, XS. Consensus of second-order multi-agent systems with nonlinear dynamics and switching topology. Nonlinear Dyn 77, 1667–1675 (2014). https://doi.org/10.1007/s11071-014-1408-z

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  • DOI: https://doi.org/10.1007/s11071-014-1408-z

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