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Admissible consensus for heterogeneous descriptor multi-agent systems

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  • Xin-Rong Yang
  • Guo-Ping Liu

Abstract

This paper focuses on the admissible consensus problem for heterogeneous descriptor multi-agent systems. Based on algebra, graph and descriptor system theory, the necessary and sufficient conditions are proposed for heterogeneous descriptor multi-agent systems achieving admissible consensus. The provided conditions depend on not only the structure properties of each agent dynamics but also the topologies within the descriptor multi-agent systems. Moreover, an algorithm is given to design the novel consensus protocol. A numerical example demonstrates the effectiveness of the proposed design approach.

Suggested Citation

  • Xin-Rong Yang & Guo-Ping Liu, 2016. "Admissible consensus for heterogeneous descriptor multi-agent systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(12), pages 2869-2877, September.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:2869-2877
    DOI: 10.1080/00207721.2015.1034303
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    References listed on IDEAS

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    1. Zhan Su & Qingling Zhang & Jun Ai, 2013. "Practical and finite-time fuzzy adaptive control for nonlinear descriptor systems with uncertainties of unknown bound," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(12), pages 2223-2233.
    2. Chih-Peng Huang, 2013. "Stability analysis and controller synthesis for fuzzy descriptor systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(1), pages 23-33.
    3. Xi, Jianxiang & Shi, Zongying & Zhong, Yisheng, 2012. "Admissible consensus and consensualization of high-order linear time-invariant singular swarm systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 5839-5849.
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